SlideShare une entreprise Scribd logo
1  sur  77
Télécharger pour lire hors ligne
An Overview of Activities in

C ONTROL AND P OWER

             Qing-Chang Zhong
             zhongqc@ieee.org


 Electrical Drives, Power and Control Group
   Dept. of Electrical Eng. & Electronics
         The University of Liverpool




               Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 1/77
Outline

   Research activities in control
   Research activities in power
   Other research activities
   Practical experiences
   New-ACE
   Teaching
   Funding
   Future research plan

                     Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 2/77
Research activities in control
On the theoretical side, my research has been focus-
ing on robust control, time-delay systems, process
control, and recently applying the theory of infinite-
dimensional systems to time-delay systems. A series
of problems have been solved:
    Projections
    J-spectral factorisation
    Delay-type Nehari problem
    Standard H ∞ problem of single-delay systems
    Realisation of distributed delays in controllers
    Feedback stabilizability of linear systems with
    state and input delays in Banach spaces
                      Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 3/77
Major publications

   IEEE Trans. Automatic Control: 7
   Automatica: 4
   Other IEEE Transactions: 3
   IET Control Theory & Applications: 4
   One research monograph




                        Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 4/77
Projections
For a given nonsingular matrix partitioned as M N , denote
the projection onto the subspace Im M along the subspace Im N
by P . Then, the projection matrix P is
                                                                  −1
                 P =    M 0                M N                            .

Similarly, the projection Q onto the subspace Im N along the sub-
space Im M is
                                 −1                                                               −1
   Q=      0 N       M N                =        N 0                           N M                      .

If M T N = 0, then the projection matrices reduce to

      P = M (M T M )−1 M T         and         Q = N (N T N )−1 N T .
                          Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 5/77
J-spectral factorisation
J-spectral factorisation is defined as

                Λ(s) = W ∼ (s)JW (s),
where the J-spectral factor W (s) is bistable and Λ(s)
                                      ∼     . T
is a para-Hermitian matrix: Λ(s) = Λ (s) = Λ (−s).
Assume that Λ, having no poles or zeros on the jω-axis
including ∞, is realised as

          Hp BΛ
   Λ=                 = D + CΛ (sI − Hp )−1 BΛ                                                        (1)
          CΛ D

and denote the A-matrix of Λ−1 as Hz , i.e.,
               Hz = Hp − BΛ D−1 CΛ .
                       Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 6/77
Triangular forms of Hp and Hz
Assume that a para-Hermitian matrix Λ as given in (1)
is minimal and has no poles or zeros on the jω-axis
including ∞. There always exist nonsingular matrices
∆p and ∆z (e.g. via Schur decomposition) such that

                          −1                              ? 0
                         ∆p Hp ∆p              =
                                                          ? A+

and
                                                         A− ?
                        ∆−1 Hz ∆z
                         z                    =                                   ,
                                                          0 ?
where A+ is antistable and A− is stable (A+ and A−
have the same dimension).
Note: No structural information of Hp and Hz is needed.
                                      Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 7/77
Factorisation with two matrices
Lemma Λ admits a Jp,q -spectral factorisation for some unique
Jp,q (where p is the number of the positive eigenvalues of D and
q is the number of the negative eigenvalues of D) iff

                                   I                          0
                 ∆=       ∆z                    ∆p
                                   0                          I

is nonsingular. If this condition is satisfied, then a J−spectral
factor is formulated as
                                                                                          
                                            I
                 I   0   ∆−1 Hp ∆                          I     0  ∆−1 BΛ 
                                                                             
                                           0                                 
       W =
          
                                                                            ,
                                                                                                             (2)
                      −∗           I                                         
                Jp,q DW CΛ ∆                                      DW       
                                    0

                                       ∗
where DW is a nonsingular solution of DW Jp,q DW = D.

                           Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 8/77
Factorisation with one common matrix
In general,
                      ∆z = ∆p .
However, these two can be the same.

Theorem Λ admits a J-spectral factorisation if and
only if there exists a nonsingular matrix ∆ such that

               Ap 0                                                                   z
                                                                                    A− ?
∆−1 Hp ∆ =       −
                   p          ,        ∆−1 Hz ∆ =
                ? A+                                                                 0 Az
                                                                                        +

where Az and Ap are stable, and Az and A+ are an-
          −      −                    +
                                              p

tistable. When this condition is satisfied, a J-spectral
factor W is given in (2).
                      Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 9/77
The Delay-type Nehari problem

Given a minimal state-space realisation Gβ = −C B ,
                                                  A
                                                     0
which is not necessarily stable, and h ≥ 0, characterise
the optimal value

 γopt = inf{ Gβ (s) + e−sh K(s)                      L∞
                                                                : K(s) ∈ H ∞ }

and for a given γ > γopt , parametrise the suboptimal
set of proper K ∈ H ∞ such that

              Gβ (s) + e−sh K(s)                     L∞
                                                               < γ.



                      Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 10/77
The optimal value
The optimal value γopt is
                                                                                                                        
                                                                                                                 Lo
γopt                 ˆ
       = max{γ : det Σ22 = 0},                        ˆ
                                                      Σ22 =                  −Lc I                     Σ                ,
                                                                                                                  I

where Lo and Lc are stabilising solutions, respectively, to
                                                                          
                                    A       γ −2 BB ∗                   I
                 −Lc      I                                                = 0,
                                    0         −A∗                      Lc

                                                                          
                                        A            0                 Lo
                 I    −Lo                                                  = 0.
                                    −C ∗ C        −A∗                   I
                                                                                                          
            Σ11 Σ12     .                                               A                γ −2 BB ∗
 Σ=                   = Σ(h) = exp(                                                                        h)
            Σ21 Σ22                                             −C ∗ C                       −A∗
                                  Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 11/77
The structure of K

z'    j'           u
               −sh '
                                                                    @ '
                                                                    @                                  K
           e     I
      T

                               c
     Gβ                      Z                          W −1                                   Q
      T                                                                                          T

                           -
                           c
                         E j                  E
w                    y



                         Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 12/77
1
Example: Gβ (s) =                    − s−a                       (a > 0)
                                             1
                                            0.9       aγopt
                                            0.8
                                            0.7
                                            0.6




                                       aγ
                                            0.5
                                            0.4
ˆ
Σ22                                         0.3
                                            0.2

                         ah                 0.1
                                             0
                                                  0    1     2    3      4       5    6    7    8     9   10
         aγ                                                                     ah

                                           ˆ
               ˆ 22 with re- The contour Σ22 = 0 on the
 The surface Σ
 spect to ah and aγ          ah-aγ plane
                                                 1
 Since I −Lc Lo = 1−4a2 γ 2 , there is ΓGβ = 2a . As a
 result, the optimal value γopt satisfies 0.5 ≤ aγopt ≤ 1.

                       Q.-C. Z HONG : A N OVERVIEW    OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 13/77
∞
The standard H problem of
single-delay systems
Given a γ > 0, find a proper controller K such that the
closed-loop system is internally stable and

                Fl (P, Ke−sh)                 ∞
                                                        < γ.


         '
          z                        '
                                                                                w
                    P                u
                                   '1
          y                                  e−sh I '                            u


                    E         K

                     Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 14/77
Simplifying the problem
                     z'
                                              u
                                            @' 1
                                            @                       '
                                                                          u
                                                          −sh
                                                      e         I

                                  Cr (P )                                K
                                                                           T
                          E
                    w                                                     y

       z'             @' 1
                      @ u                @ 'z1
                                         @
                                                              u
                                                            @' 1
                                                            @                               '
                                                                                                 u
                                                                                  −sh
                                                                              e         I

                Cr (P )             Gα             Cr (Gβ )                                      K
                                                                                                  T
            E                 E              wE
                                              1
       w                  y                                                                      y

                Delay-free problem                   1-block delay problem


Gα is the controller generator of the delay-free prob-
                                      . −1
lem. Gβ is defined such that Cr (Gβ ) = Gα . Gα and
Cr (Gβ ) are all bistable.
                                     Q.-C. Z HONG : A N OVERVIEW    OF   ACTIVITIES     IN   C ONTROL T HEORY & E NGINEERING – p. 15/77
Solution to the problem
Solvability ⇐⇒ :
      H0 ∈ dom(Ric) and X = Ric(H0 ) ≥ 0;
      J0 ∈ dom(Ric) and Y = Ric(J0 ) ≥ 0;
      ρ(XY ) < γ 2 ;
      γ > γh , where γh = max{γ : det Σ22 = 0}.
u
'                   @'
                    @

                                                                                       
      c                                          A + B2 C1       B2 − Σ12 Σ−1 C1 Σ−∗ B1
                                                                           22
                                                                               ∗
                                                                                  22
                   −1    Q        V −1   =          C1                I           0 
      Z        V
                                            −γ −2 B1 Σ∗ − C2 Σ∗
                                                   ∗
                                                      21      22       0           I
                         T
       -
     E c
       h   E
 y
                             Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 16/77
Implementation of the controller
As seen above, the control laws associated with delay systems
normally include a distributed delay like
                                      ¢     h
                           v(t) =               eAζ Bu(t − ζ)dζ,
                                        0

or in the s-domain,               Z(s) = (I − e−(sI−A)h ) · (sI − A)−1 .
The implementation of Z is not trivial because A
                                                                                  1
may be unstable. This problem had confused the                                   10

delay community for several years and was pro-                                    0
                                                                                 10




                                                           Approximation error
posed as an open problem in Automatica in 2003.
                                                                                  −1
                                                                                                  N=1
It was reported that the quadrature implementation                               10
might cause instability however accurate the imple-                               −2                    N=5
                                                                                 10
mentation is.
                                                                                  −3
                                                                                 10                      N=20
My investigation shows that:                                                      −4
                                                                                 10
The quadrature approximation error converges to 0                                      −2
                                                                                      10        10
                                                                                                   −1
                                                                                                               10
                                                                                                                  0
                                                                                                                         10
                                                                                                                            1
                                                                                                                                    10
                                                                                                                                      2
                                                                                                                                             10
                                                                                                                                                3


in the sense of H ∞ -norm.                                                                                    Frequency (rad/sec)

                                       Q.-C. Z HONG : A N OVERVIEW                     OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 17/77
A trivial but significant result
  y(τ)                                                y(t)                                                       p(t)




                                        =                                                            ∗
                                                                                                            1




         t−h/N t                    τ             0                                                  t       0     h/N            t




                        ¢    h                   ¢     t
                             N
                                 y(t − τ )dτ =               y(τ )dτ = y(t) ∗ p(t).
                         0                           h
                                                  t− N



                                                  N −1 ¢ (i+1) h
              ¡h                                               N
                   0   eAζ Bu(t − ζ)dζ        =                                 eAζ Bu(t − ζ)dζ
                                                               h
                                                              iN
                                                      i=0
                                                  N −1                     ¢          h
                                                                                (i+1) N
                                                                 h
                                              ≈              eiA N     B                      u(t − ζ)dζ
                                                                                 h
                                                                                iN
                                                      i=0
                                                  N −1
                                                                   h                   h
                                              =              eiA N Bu(t − i              ) ∗ p(t)
                                                      i=0
                                                                                       N
                                          Q.-C. Z HONG : A N OVERVIEW      OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 18/77
Rational implementation
     xN            x N −1       x2          x1              ub
              Π             …        Π              Π               Φ −1 B
                                                                                          u
vr                          …                       Π = ( sI − A + Φ ) −1 Φ




Π = (sI − A + Φ)−1 Φ,
          ¡   h
Φ=(           N
              0   e−Aζ dζ)−1 .




                                     Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 19/77
Unified Smith predictor (USP)
A numerical problem with the modified Smith predictor (MSP) is
identified. See the simple but a little bit extreme example
                              1      1
                  P (s) =         +      .
                          s + 1000 s − 1
The MSP is
                        e1000h − e−sh e−h − e−sh
             ZMSP (s) =              +           .
                          s + 1000      s−1
According to the IEEE Standard 754, e1000h is regarded to be +∞
(INF) for h ≥ 0.71sec. This is not acceptable in practice.
A unified Smith predictor is proposed to fix this problem. An
equivalent structure of systems incorporating USP is derived and
then applied to solve various problems.
                         Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 20/77
Feedback stabilisation of delay systems
The feedback stabilizability of the state–input delay
system
 x(t) = A0 x(t) + A1 x(t − r) + P u(t) + P1 u(t − r)
 ˙

is equivalent to the condition

Rank (P + e−rλi P1 )∗ · ϕi = di ,                                       i = 1, 2, · · · , l.

where λi ∈ {λ1 , λ2 , · · · , λl } = {λ ∈ C : det ∆(λ) =
0 and Reλ ≥ 0} with ∆(λ) := λI − A0 − A1 e−rλ .
The dimension of Ker∆(λi )∗ is di and the basis of
Ker∆(λi )∗ is ϕi , ϕi , · · · , ϕi i for i = 1, 2, · · · , l .
               1    2            d
Appeared in IEEE Trans. Automatic Control as a reg-
ular paper.             Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 21/77
Research activities in power
Focusing on power electronics & renewable energy

     Voltage control of DC-AC converters
     Neutral point generation
     Grid-friendly inverters: Synchronverters
     Regulation of induction generators for wind power
     Control of wind turbines
     Energy recovery from landing aircraft
     Damping control of inter-area oscillations in power systems
     DC and AC drives
     AC Ward Leonard drive systems
                           Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 22/77
DC-AC converters in the context
of distributed generation

                                DC
      Local        Diode        link      DC-AC                                              grid
    generator     Rectifier              Converter
                                                                              Micro-
                                                                               grid


                         Fuel cells
                         Photo-voltaic etc.
       Gas turbines
       Wind-mills etc.




                         Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 23/77
Control problems involved
                                        voltage control:
                                        e = Vref − Vc as small as
                                        possible
                                        neutral point control: to
                                        provide a non-drifting
                                        neutral point
                                        power control: to regulate
                                        the active/reactive power
                                        phase-locked loop (PLL):
                                        to synchronise the con-
                                        verter with the grid

              Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 24/77
Voltage control of DC-AC converters
The single-phase circuit:




The objective is to make sure that the output voltage
Vout or Vc is a clean sinusoidal signal even when the
load is nonlinear and/or the public grid is polluted with
harmonics.            Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 25/77
Structure of voltage controller




Techniques used:
    H ∞ control
    Repetitive control, where a delay is introduced
    into the controller
                    Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 26/77
Formulation of the H ∞ control problem




               Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 27/77
Nyquist plot of the system
                                 −L(jω)
        8

        6

        4

        2
  Im




        0

       −2

       −4

       −6

       −8
        −2   −1   0     1             2              3                 4                5            6
                                       Re
                      Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 28/77
Simulation results
               400                                                                400
                         V                                                                           (external) grid
                         c          e                                             300
               300
               200                                                                200
                                                                                                          micro−grid




                                                                    Voltage (V)
                                                                                  100
 Voltage (v)




               100
                 0                                                                  0

     −100                                                                 −100

     −200                                                                 −200

     −300                                                                 −300

     −400                                                                 −400
                     0       0.05      0.1       0.15         0.2            0.36                   0.37             0.38             0.39           0.4
                                    Time (sec)                                                                  Time (sec)

 (a) Transient response                                             (b) Steady-state response



                                                   Q.-C. Z HONG : A N OVERVIEW          OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 29/77
Experimental results
                                     20


                                     10




          Voltage [V]
                                     0

                                            #1:1
                                             #1:2
                                -10


                                -20
                                          0.00         0.01     0.02     0.03       0.04       0.05
                                                                 Time [sec]



             (a) voltage and its reference
                                      4
                 Voltage error [V]




                                      2
                                              #1:1


                                      0

                                     -2

                                     -4

                                          0.00         0.01     0.02     0.03       0.04      0.05
                                                                 Time [sec]


                                            (b) tracking error
                                                     Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 30/77
Neutral-point control:                          Existing schemes




 Split DC link




 Conventional
  neutral leg


                 Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 31/77
Neutral-point control:                              Proposed scheme




Control objective: to force ic ≈ 0 so that the point N
will be the mid-point of DC supply.
    No need to re-design the converter;
    The controller is decoupled.
                     Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 32/77
∞
H       control design




This is a double-integrator system.

                           Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 33/77
Experimental results


                                                                                                                 Vave
                                                                                                                 0.2V/div

                                                                                                                  iN
                                                                                                                  50A/div

                                                                                                                  iL
                                                                                                                  50A/div

                                                                                                                  ic
                                                                                                                  20A/div


0.17   0.18   0.19   0.20   0.21    0.22   0.23                    0.24             0.25       0.26        0.27
                                Time (sec)




                               Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 34/77
Grid-friendly inverters
Many strategies have been set to explore renewable en-
ergy sources, such as wind and solar power, to lead to
a low carbon economy. However, the increasing share
of the electricity generated from these sources (which
is often fed into the grid via inverters) could be a po-
tential threat to the overall stability of the future power
system when it reaches a certain level. Utility com-
panies would expect to minimise the impact of a large
number of grid-connected inverters on the power sys-
tem. Moreover, how to share load among these invert-
ers autonomously is also a problem.
Our Solution:
Synchronverters: Inverters that mimic synchronous generators

                       Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 35/77
Synchronous generators
                                                                                         di
                                    (θ = 0 )
                                                                           v = −Rs i − Ls + e,
                                                                                         dt
 Rotor field axis



                           Rs , L
                                                                                   ˙sinθ−Mf dif cosθ,
                                                                         e = Mf if θ
    Rotation
                                                                                             dt
                    M                              M


                                               N
                                                                           Te = pMf if i, sinθ ,
           Field voltage

          Rs , L                                        Rs , L


                                                                               ˙
                                                                          Q = −θMf if i, cosθ ,
                                      M




                                                                              ¨                ˙
                                                                            J θ = Tm − Te − Dp θ.

                                                       Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 36/77
The synchronverter
  +
                                                                                                  Circuit
                                           Ls , R s                           va       Lg , R g   Breaker
                                                          ia                                                vga
        ea                                                              vb
  VDC                                                     ib                                                vgb
             eb
                                                               vc
                              ec                          ic                                                vgc


                                                      C
  -



                     (a) The power part
                                     Dp


                          -
                   Tm                1                θ&       1    θ
                                     Js                        s
                          -
                          Te
                                   Eqn. (7)
                          Q        Eqn. (8)
                                   Eqn. (9)           e
                  Mf if                               i


                  (b) The Zelectronic part
                       Q.-C.  :A O     A
                                    HONG      N   VERVIEW OF        CTIVITIES IN   C ONTROL T HEORY & E NGINEERING – p. 37/77
Experimental setup




             Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 38/77
Experimental results: I
Frequency (Hz)




                                                    P (W) and Q (Var)
                                                                                                                         s
                                                                                                                         d
                                                                                                                         d
                                                                                                                                P
                                                                                                                                Q
                                                                                                                          
                                                                                                                         ©
                                                                                                                          




                      Time (Second)                                                        Time (Second)


                 (a) synchronverter                                     (b) real power P and
                      frequency                                           reactive power Q



                                      Q.-C. Z HONG : A N OVERVIEW        OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 39/77
Experimental results: II
                                                                                                                     y
                                                                                                                     ˆ
                                                                                                                     ˆ
Frequency (Hz)




                                                    P (W) and Q (Var)
                                                                                                                           P
                                                                                                                            Q
                                                                                                                         ©
                                                                                                                          




                      Time (Second)                                                        Time (Second)


                 (a) synchronverter                                     (b) real power P and
                      frequency                                           reactive power Q



                                      Q.-C. Z HONG : A N OVERVIEW        OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 40/77
Regulation of induction generators
for wind power




              Q




               P




              Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 41/77
Control of wind turbines




Patented by Nheolis, France, installed on the department’s rooftop
Experiments show that the new wind turbine is very efficient. The
maximum mechanical power of a prototype with a 2m (diame-
ter) rotor reached 12kW at a wind speed of 20m/s. The nominal
power is 4.1kW at 14 m/s. A 1-meter 3-bladed prototype recorded
2.8kW mechanical power at 14 m/s. This is much more efficient
than any commercial wind turbines available.
                          Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 42/77
Buck       Boost
Converter   Converter




            Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 43/77
Energy recovery from landing aircraft


                   Aircraft
                                                    Risen slope to fall when
                                                    energy recovery is activated
                                                                                          Coils




    Runway    Magnets with alternative poles (N, S, N, …)




              Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 44/77
Voltage and current (zoomed)
                                  6000
                                  4000




       Phase A voltage
                                  2000
                                        0
                             -2000
                             -4000
                             -6000
                                             0       0.1         0.2        0.3          0.4          0.5

                                                 5
                                             x 10
                                        1
                    Phase A current




                                      0.5

                                        0

                                      -0.5

                                       -1
                                             0       0.1         0.2       0.3           0.4          0.5
                                                                          Time
                                                           Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 45/77
800
                                                                                 600
                                                                               d
                                                                                 400
                                                                                 200
                                                                                   0
                  6000
                                                                                   100
                  4000
Phase A voltage

                  2000                                                         v 50
                     0                                                              0
                  -2000
                                                                                    0
                  -4000
                                                                               a -5
                  -6000
                          0   5   10    15    20   25      30
                                                                                   -10
                                                                                               7
                                                                                         x 10
                  2000                                                              2

                                                                               p    1
Phase A current




                  1000
                                                                                    0
                                                                                               7
                     0                                                                   x 10
                                                                                   10
                  -1000                                                        E 5

                  -2000
                          0   5   10    15    20   25      30                       0
                                                                                         0         5       10        15      20      25      30
                                       Time
                                                                                                                    Time


              (a) Phase current and                                          (b) Distance, speed,
              the generated voltage                                        deceleration, power and
                     (phase)                                                        energy
                                                        Q.-C. Z HONG : A N OVERVIEW   OF     ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 46/77
Damping control of inter-area oscilla-
tions in large-scale power systems




 TCSC: Thyristor Controlled Switched Capacitors
                                     Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 47/77
AC-DC converters: DC drives




             Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 48/77
AC-DC-AC converters: AC drives




                                                            Philips Semiconductors




VVVF speed control by:
    using the PWM circuit HEF4752V shown above
    using Intel 8051 microcomputer to generate space
    vector PWM signal
                    Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 49/77
Ward Leonard drive systems
             Prime                                                                      Load
             mover

                     Constant                                                Variable
                      speed                                                   speed



                             Controllable field             Fixed field


    Conventional (DC) Ward Leonard drive systems
                                Inverter

                             Variable
                              speed
                     Prime                                                                      Load
       VDC                                    SG                        SM/IM
                     mover
                                                                                          Variable
                                                                                           speed

                                           Fixed field



             AC Ward Leonard drive systems
                                  Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 50/77
Exp. results: high-speed, no load




          (a) speed                        (b) torque




         (c) current                       (d) voltage
                   Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 51/77
Exp. results: low-speed, no load




          (a) speed                        (b) torque




         (c) current                       (d) voltage
                   Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 52/77
Other research activities
   Rapid control prototyping
     dSPACE
     MICROGen
     Texas Instruments kits
   Embedded systems and control
   Process control




                     Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 53/77
Rapid control prototyping (RCP)
            There are two sets of
  dSPACE+Matlab/Simulink/SimPower in the lab.




   Single-board PCI hardware for use in PCs
   powerful development system for RCP
   Real-Time Interface provides Simulink® blocks
   for graphical configuration of A/D, D/A, digital
   I/O lines, incremental encoder interface and PWM
   generation      Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 54/77
MicroGen



A universal electronic control unit with MPC555
built-in
Software-configurable I/O and signal
conditioning
Using industry standard SimuLink®
Enabling technology for RCP and HiL applica-
tions

                Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 55/77
Texas Instruments kits
TI has donated about 20 sets of different digital signal
controllers (including TMS320F28335) equipped with
the full version of latest Code Composer Studio 4.0.




                      Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 56/77
Embedded systems & control
Different development kits for embedded control:
    Wind River Workbench + Wind River Probe
    Freescale MPC5567
    Mathworks xPC target
    EasyPIC4
    dsPICPro2




                     Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 57/77
Wind River
Support a wide range of processors
USB 2.0-compliant host connection
High-speed JTAG run control and
program download
Hot-plug-capable interconnect system
RTOS: VxWorks, Linux, and ThreadX
Built-in hardware diagnostics
Flash memory programming                                        Wind River Probe




Source-level debugging
Support for Memory Management Units
Open API integration
                          Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 58/77
Freescale
MPC5567




   132 MHz PowerPC-based e200z6 core
   a dual-channel FlexRay controller (10 Mbit/sec)
   Fast Ethernet controller, 5 FlexCAN modules
   40-channel dual analog-to-digital converter (ADC)
   24-channel PWM
   32-channel direct memory :access (DMA) controller E
                       Q.-C. Z
                          HONG A O
                                 N    A   C
                                     VERVIEW OFT   &
                                                  CTIVITIES IN   ONTROL   HEORY   NGINEERING   – p. 59/77
Mathworks xPC target




   Provide a high-performance host-target environment
   Design a control system using Simulink® and Stateflow®
   Generate code with Real-Time Workshop® and Stateflow
   Coder™ and download the code to a target PC running the
   xPC Target real-time kernel
   Execute the code in real time on low-cost PC-compatible
   hardware
                      Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 60/77
EasyPIC4
   3 in 1: Development, USB 2.0 programmer, ICD
   Supports 8, 14, 18, 20, 28 and 40 pin PIC




                    Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 61/77
dsPICPro2
   Supports dsPIC in 64 and 80 pins package.
   USB 2.0 programmer on board + A/D + D/A




                   Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 62/77
Chemical process control (1992)




   16 reactors, controlled by 3 industrial computers
   Effective object code > 100 KB (Intel 8086 assembler)
   Analogue control variables include pressure, temperature,
   level, flow and weight etc.
                        Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 63/77
Integral processes with dead time
Integral process with dead-time (IPDT):     G(s) = Gp (s)e−τ s = k e−τ s
                                                                   s
Consider the disturbance observer-based control scheme (Zhong and Normey-Rico, 2001)
                                           d
 r
 Ef E                Ef
                     c     u            c
                                       Ef       E
                                                                  y
                                                                  E
                                                                                                                                     d
        C(s)                                        Gp (s)e−τ s
  T
  −                    T
                       −                                                   r                                                     u c                     y
                       ˆ                                                       E      CGm          E h
                                                                                                     E              F (s)        E h
                                                                                                                                   E     Gp (s)e−τ s         E
                       d                                                           (1+CGm )F (s)               Gm (1−Qe−τm s )
                                                                                                     T
                                                                ' c
                                               −                    n
        Gm (s)   '             E      e−τm s   Ef'    G−1 (s)
                                                       m
                                                                  '
                                                                  f                                −


                                                                                                                                     '                   cn
                                                                                                                                                         '
                                       '
                                                                                                                             Q(s)                        h
                               Q(s)                                                                                          F (s)
                                           Disturbance Observer


 (a) Disturbance observer-based control scheme                            (b) equivalent structure for implementation
where

                           k           1          (2λ + τm )s + 1             1
            Gm (s) =         , C(s) =    , Q(s) =                 , F (s) =
                           s          kT             (λs + 1)2              λs + 1

and λ is a free design parameter.

                                                                     1
Setpoint response:                                       Gyr (s) =T s+1
                                                                        e−τm s
Disturbance response:                                  Gyd (s) = k 1 − Q(s)e−τm s
                                                                 s
                                                                                                              e−τm s
Measurement noise response:                            Gyn (s) = Q(s)e−τm s
                                                       Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 64/77
Robust stability region

                                                                                                                                                    1.5




                                                                                                                        2
                                                                                                     3
                                                                                               0.6                                                  1




                                                                                                                                                                                  3
                                                                                                            5
                                                                                                         2.




                                                                                                                                                                        2
     6




                                                                                                                                                                                  2.5
                                                                                                                                          0.5
                                                                                               0.4




                                                                                                                      1.5
     5




                                                                                                                                                                  1.5
     4
                                                                                               0.2




                                                                                                     2




                                                                                                                                                0.2
                                                                                                                                1
 β




                                                                                                                                                          1
                                                                                                                                                   0.5
                                                                                        ∆k/k
     3
                                                                                                0




                                                                                                                                                                                   2
                                                                                                                                              0.2
     2




                                                                                                                                        0.5
                                                                                                           1.5
     1                                                                                     −0.2




                                                                                                                                                                            1.5
    0
                                                                                           −0.4




                                                                                                                        1
 −0.7                                                                                                                                         0.5
     −0.5




                                                                                                                                                              1
         −0.3                                                                 2                                             1
             −0.1                                                       1.5                                     1.5
                  0.1                                            1                         −0.6
          ∆K/K                                          0.5                                       2
                      0.3                           0     ∆τ/τ
                                                                                                                                                        1.5
                            0.5              −0.5
                                  0.7   −1                                                      −1 −0.8 −0.6 −0.4 −0.2                          0     0.2 0.4     0.6       0.8       1
                                                                                                                                              τ /τ
                                                                                                                                               ∆ m




                                                                     Q.-C. Z HONG : A N OVERVIEW     OF   ACTIVITIES            IN   C ONTROL T HEORY & E NGINEERING – p. 65/77
Deadbeat response
Theorem The considered system rejects a step distur-
bance at t = T2 (T2 > T1 > 0) if Q(s) is chosen
as
                  q0 + q1 e−T1s + q2 e−T2s
           Q(s) =
                           λs + 1
with         
                         eT2 /λ (λ+τm +T1 )−eT1 /λ (λ+τm +T2 )
               q0 =
              
              
                               T2 −T1 +T1 eT2 /λ −T2 eT1 /λ
              
              
              
                         λ+τm +T2 −eT2 /λ (λ+τm )
                 q1 =    T2 −T1 +T1 eT2 /λ −T2 eT1 /λ
              
              
              
              
              
              
               q = − λ+τm +T1 −eT1 /λ (λ+τm )
                 2   T −T +T eT2 /λ −T eT1 /λ
                                2      1      1                  2


where λ > 0 is a free parameter.
                        Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 66/77
Robustness indicator
                  2
                  i=0 |qi |
Point A J =          λ
                              can be interpreted as a robustness indicator:
                                 The lower the point A, the better the robustness.
In order to obtain the largest robust region for given T2 and λ, minimise the robust indicator:
                               2
                                   |qi |
            min J = min i=0
             T1         T1       λ
                                                                        1
where J can be re-written as
                                                                    0.9

                                                                    0.8

                                                                    0.7
     1            2(λ + τm      )(eT2 /λ
                                    − 1) − 2T2                      0.6
J=        1+




                                                                T1/T2
     λ           T2 − T1 + T1 eT2 /λ − T2 eT1 /λ                    0.5

                                                                    0.4

                                                                    0.3
Since 2(λ + τm )(eT2 /λ − 1) − 2T2 > 0 and
                                                                    0.2
T2 − T1 + T1 eT2 /λ − T2 eT1 /λ > 0 for T2 >                        0.1
                                                1
T1 > 0 and λ > 0, J is always larger than λ .                           0
                                                                            0        1   2    3         4      5   6    7    8    9   10
Differentiate J with respect to T1 and let it be 0,                                                         T2/λ

then                                                           When T2 /λ → 0, T1 → 0.5T2 ; when
            −1 + eT2 /λ − T2 eT1 /λ = 0
                              λ                                T2 /λ → ∞, T1 → T2 . Thus, T1 is always
Solve it, we have                                              less than T2 , as expected.
            T1              T2 /λ
            T2
                 =   λ
                     T2
                        ln e T /λ −1
                              2
                                             Q.-C. Z HONG : A N OVERVIEW        OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 67/77
Robustness indicator (cont.)
Denote
                                                    λ         T2
                                           α=         and β =
                                                   τm         τm
then the minimal cost is
                                                                                                          
                                                            1
                            1       2(1 +                    )(eβ/α
                                                    − 1) − 2β/α
                                                            α
                  Jo =          1+                               
                                                        β/α −1
                           ατm     β/α + (eβ/α − 1) ln e β/α − 1


                            150



                            100

                      Τm Jo

                              50



                               0
                                       1                                                 1
                                           2                                        2
                                               3                              3
                                           T2 Τm       4             4
                                                              5              Λ Τm

                                               Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 68/77
Simulation example
Consider a process with
                                                  Control parameters:
                   1                              T2 = 2τm = 10sec
        Gm (s) =     , τm = 5 sec,
                   s                              λ = 0.5τm = 2.5sec
                                                  T1 = 6.5sec
assume that the worst multiplicative uncer-
                    1
                                                  q0 = 2.36, q1 = −1.75, q2 = 0.39
tainty is ∆(s) = 0.1s+1 e−0.5s − 1.




                   (a) Nominal case                           (b) The worst case



                                      Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 69/77
Practical experiences
   Software design
      Intel 8086 assembly language:
      > 100kB binary code
      C language: > 10,000 lines
      Database/Javascript
   Hardware design
      Micro-computers:
      Intel 8051, Zilog Z80, Motorola ...
      DC, AC drives etc
      Lift control systems
      System design experience
                     Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 70/77
New-ACE: www.newace.org.uk
Leading a nation-wide collaborative network: New-ACE, which
is funded by a £88k EPSRC grant.

    Partners: Imperial, Sheffield, Loughborough and Queen’s
    Belfast.
    Advisory members: D.J.N. Limebeer (Imperial),
    D.H. Owens (Sheffield), R.M. Goodall (Loughborough),
    G. Irwin (Queen’s Belfast), Q.H. Wu (Liverpool).
    Main activities and outcomes:
        to organise six workshops in subject areas including
        renewable energy and control in power electronics
        to submit 6~12 joint proposals in the coming three
        years.
                        Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 71/77
Objectives of the New-ACE
   to provide a platform for the members to
   exchange ideas, experience and practise
   to develop and strengthen long-term collaboration
   activities, including joint applications and
   collaborations with industry
   to support potential future leaders in control
   engineering and related areas
   to develop and sustain a strong future for control
   engineering in the UK




                     Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 72/77
Teaching
Philosophy:
    Teaching and research help each other.
    Quality teaching provides a constant flow of ex-
    cellent students for research. The best student of 2007, whose FYP
    was directed by me, has been attracted to study for a PhD degree under my supervision.
    He won both the principal Faculty undergraduate award and the IET Prize.


Modules taught this year:
    Power electronics and electromechanics
    Energy conversion and power systems
    Digital control
    Discrete-time signals and systems
                                  Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 73/77
Funding
Current projects:
    Royal Academy of Engineering, £41k
    EPSRC: EP/H004351/1, £112k
    EPSRC: EP/H004424/1, £68k
    EPSRC: EP/E055877/1, £88k
    EPSRC: one DTA studentship
    EPSRC and Add2: DHPA Award, £90k
    ESPRC and Nheolis: DHPA Award, £90k
Completed projects:
    EPSRC: EP/C005953/1, £126k
                      Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 74/77
Research team
   One part-time secretary
   Currently 5 PhD students, one postdoctoral research fellow
   and two Honorary Researchers
   Another postdoc researcher and one PhD student to join
   soon (funding already secured)
   A former postdoctoral research fellow is still in active
   collaboration.
   Also closely working/worked with researchers from Brazil,
   China, France, Italy, Israel, Netherlands, Singapore and
   USA, in addition to those from the home department, the
   Dept of Engineering and other UK universities and industry.

                        Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 75/77
Future research topics

                                          Renewable Energy:
                                            • Wind power
                                            • Solar power
                                            • Other energy sources
         Control Theory                   Power Electronics:
         & Engineering                      • Grid-connected inverters
                                            • Inverter-dominated power systems
                                            • DC drives and AC drives
                                            • Applications in power systems etc
                                          Enabling Control Theory:
                                            • Robust H∝ control
                                            • Time-delay systems
                                            • Grid monitoring, control and stability




   Industrial collaboration to consolidate research
   Theoretical research to deepen the depth of research
                          Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 76/77
Vision
Closely working with colleagues, to develop the team
into an international key player in research and teach-
ing in control, power electronics and renewable en-
ergy, with long-term collaborations with industrial
partners and world-leading research groups.
    Breadth of research: focusing on control theory,
    power electronics and renewable energy;
    developing activities in automotive electronics
    and process control.
    Depth of research: Looking for fundamental prob-
    lems; providing significant/simple solutions.
                      Q.-C. Z HONG : A N OVERVIEW   OF   ACTIVITIES   IN   C ONTROL T HEORY & E NGINEERING – p. 77/77

Contenu connexe

Tendances

Renyis entropy
Renyis entropyRenyis entropy
Renyis entropywtyru1989
 
Asymptotics for discrete random measures
Asymptotics for discrete random measuresAsymptotics for discrete random measures
Asymptotics for discrete random measuresJulyan Arbel
 
IJCER (www.ijceronline.com) International Journal of computational Engineerin...
IJCER (www.ijceronline.com) International Journal of computational Engineerin...IJCER (www.ijceronline.com) International Journal of computational Engineerin...
IJCER (www.ijceronline.com) International Journal of computational Engineerin...ijceronline
 
Sampling and low-rank tensor approximations
Sampling and low-rank tensor approximationsSampling and low-rank tensor approximations
Sampling and low-rank tensor approximationsAlexander Litvinenko
 
Bouguet's MatLab Camera Calibration Toolbox for Stereo Camera
Bouguet's MatLab Camera Calibration Toolbox for Stereo CameraBouguet's MatLab Camera Calibration Toolbox for Stereo Camera
Bouguet's MatLab Camera Calibration Toolbox for Stereo CameraYuji Oyamada
 
Spectral Learning Methods for Finite State Machines with Applications to Na...
  Spectral Learning Methods for Finite State Machines with Applications to Na...  Spectral Learning Methods for Finite State Machines with Applications to Na...
Spectral Learning Methods for Finite State Machines with Applications to Na...LARCA UPC
 
Approximate Bayesian Computation with Quasi-Likelihoods
Approximate Bayesian Computation with Quasi-LikelihoodsApproximate Bayesian Computation with Quasi-Likelihoods
Approximate Bayesian Computation with Quasi-LikelihoodsStefano Cabras
 
Further discriminatory signature of inflation
Further discriminatory signature of inflationFurther discriminatory signature of inflation
Further discriminatory signature of inflationLaila A
 
Two dimensional Pool Boiling
Two dimensional Pool BoilingTwo dimensional Pool Boiling
Two dimensional Pool BoilingRobvanGils
 
A brief introduction to Hartree-Fock and TDDFT
A brief introduction to Hartree-Fock and TDDFTA brief introduction to Hartree-Fock and TDDFT
A brief introduction to Hartree-Fock and TDDFTJiahao Chen
 
Benchmark Calculations of Atomic Data for Modelling Applications
 Benchmark Calculations of Atomic Data for Modelling Applications Benchmark Calculations of Atomic Data for Modelling Applications
Benchmark Calculations of Atomic Data for Modelling ApplicationsAstroAtom
 
Camera calibration
Camera calibrationCamera calibration
Camera calibrationYuji Oyamada
 
Spacetime Meshing for Discontinuous Galerkin Methods
Spacetime Meshing for Discontinuous Galerkin MethodsSpacetime Meshing for Discontinuous Galerkin Methods
Spacetime Meshing for Discontinuous Galerkin Methodsshripadthite
 
Elementary Landscape Decomposition of the Quadratic Assignment Problem
Elementary Landscape Decomposition of the Quadratic Assignment ProblemElementary Landscape Decomposition of the Quadratic Assignment Problem
Elementary Landscape Decomposition of the Quadratic Assignment Problemjfrchicanog
 
IJCER (www.ijceronline.com) International Journal of computational Engineerin...
IJCER (www.ijceronline.com) International Journal of computational Engineerin...IJCER (www.ijceronline.com) International Journal of computational Engineerin...
IJCER (www.ijceronline.com) International Journal of computational Engineerin...ijceronline
 
Tro07 sparse-solutions-talk
Tro07 sparse-solutions-talkTro07 sparse-solutions-talk
Tro07 sparse-solutions-talkmpbchina
 
Linear-Size Approximations to the Vietoris-Rips Filtration - Presented at Uni...
Linear-Size Approximations to the Vietoris-Rips Filtration - Presented at Uni...Linear-Size Approximations to the Vietoris-Rips Filtration - Presented at Uni...
Linear-Size Approximations to the Vietoris-Rips Filtration - Presented at Uni...Don Sheehy
 

Tendances (20)

Renyis entropy
Renyis entropyRenyis entropy
Renyis entropy
 
Asymptotics for discrete random measures
Asymptotics for discrete random measuresAsymptotics for discrete random measures
Asymptotics for discrete random measures
 
IJCER (www.ijceronline.com) International Journal of computational Engineerin...
IJCER (www.ijceronline.com) International Journal of computational Engineerin...IJCER (www.ijceronline.com) International Journal of computational Engineerin...
IJCER (www.ijceronline.com) International Journal of computational Engineerin...
 
Sampling and low-rank tensor approximations
Sampling and low-rank tensor approximationsSampling and low-rank tensor approximations
Sampling and low-rank tensor approximations
 
Bouguet's MatLab Camera Calibration Toolbox for Stereo Camera
Bouguet's MatLab Camera Calibration Toolbox for Stereo CameraBouguet's MatLab Camera Calibration Toolbox for Stereo Camera
Bouguet's MatLab Camera Calibration Toolbox for Stereo Camera
 
Ben Gal
Ben Gal Ben Gal
Ben Gal
 
Spectral Learning Methods for Finite State Machines with Applications to Na...
  Spectral Learning Methods for Finite State Machines with Applications to Na...  Spectral Learning Methods for Finite State Machines with Applications to Na...
Spectral Learning Methods for Finite State Machines with Applications to Na...
 
Approximate Bayesian Computation with Quasi-Likelihoods
Approximate Bayesian Computation with Quasi-LikelihoodsApproximate Bayesian Computation with Quasi-Likelihoods
Approximate Bayesian Computation with Quasi-Likelihoods
 
Further discriminatory signature of inflation
Further discriminatory signature of inflationFurther discriminatory signature of inflation
Further discriminatory signature of inflation
 
1
11
1
 
Two dimensional Pool Boiling
Two dimensional Pool BoilingTwo dimensional Pool Boiling
Two dimensional Pool Boiling
 
Nu2422512255
Nu2422512255Nu2422512255
Nu2422512255
 
A brief introduction to Hartree-Fock and TDDFT
A brief introduction to Hartree-Fock and TDDFTA brief introduction to Hartree-Fock and TDDFT
A brief introduction to Hartree-Fock and TDDFT
 
Benchmark Calculations of Atomic Data for Modelling Applications
 Benchmark Calculations of Atomic Data for Modelling Applications Benchmark Calculations of Atomic Data for Modelling Applications
Benchmark Calculations of Atomic Data for Modelling Applications
 
Camera calibration
Camera calibrationCamera calibration
Camera calibration
 
Spacetime Meshing for Discontinuous Galerkin Methods
Spacetime Meshing for Discontinuous Galerkin MethodsSpacetime Meshing for Discontinuous Galerkin Methods
Spacetime Meshing for Discontinuous Galerkin Methods
 
Elementary Landscape Decomposition of the Quadratic Assignment Problem
Elementary Landscape Decomposition of the Quadratic Assignment ProblemElementary Landscape Decomposition of the Quadratic Assignment Problem
Elementary Landscape Decomposition of the Quadratic Assignment Problem
 
IJCER (www.ijceronline.com) International Journal of computational Engineerin...
IJCER (www.ijceronline.com) International Journal of computational Engineerin...IJCER (www.ijceronline.com) International Journal of computational Engineerin...
IJCER (www.ijceronline.com) International Journal of computational Engineerin...
 
Tro07 sparse-solutions-talk
Tro07 sparse-solutions-talkTro07 sparse-solutions-talk
Tro07 sparse-solutions-talk
 
Linear-Size Approximations to the Vietoris-Rips Filtration - Presented at Uni...
Linear-Size Approximations to the Vietoris-Rips Filtration - Presented at Uni...Linear-Size Approximations to the Vietoris-Rips Filtration - Presented at Uni...
Linear-Size Approximations to the Vietoris-Rips Filtration - Presented at Uni...
 

En vedette

Design of Synchronverter based Microgrid
Design of Synchronverter based MicrogridDesign of Synchronverter based Microgrid
Design of Synchronverter based MicrogridSomsubhra Ghosh
 
Energy Storage Systems – Grid Connection Using Synchronverters
Energy Storage Systems – Grid Connection Using SynchronvertersEnergy Storage Systems – Grid Connection Using Synchronverters
Energy Storage Systems – Grid Connection Using SynchronvertersGal Barzilai
 
The science behind how planes fly
The science behind how planes flyThe science behind how planes fly
The science behind how planes flyChenoy Ceil
 
A Simple Control Strategy for Boost Converter Based Wind and Solar Hybrid Ene...
A Simple Control Strategy for Boost Converter Based Wind and Solar Hybrid Ene...A Simple Control Strategy for Boost Converter Based Wind and Solar Hybrid Ene...
A Simple Control Strategy for Boost Converter Based Wind and Solar Hybrid Ene...IJRES Journal
 
Inverter 12 VDC to 220 VAC
Inverter 12 VDC to 220 VACInverter 12 VDC to 220 VAC
Inverter 12 VDC to 220 VACARY SETIADI
 
An Experimental Prototype for Low Head Small Hydro Power Generation Using Hyd...
An Experimental Prototype for Low Head Small Hydro Power Generation Using Hyd...An Experimental Prototype for Low Head Small Hydro Power Generation Using Hyd...
An Experimental Prototype for Low Head Small Hydro Power Generation Using Hyd...Fatin62c
 
2017-0101_GlobalSolarCouncil-Pages-WebVer
2017-0101_GlobalSolarCouncil-Pages-WebVer2017-0101_GlobalSolarCouncil-Pages-WebVer
2017-0101_GlobalSolarCouncil-Pages-WebVerJosh Harmon
 
Optimal Control Tracking Problem of a Hybrid Wind-Solar-Battery Energy System
Optimal Control Tracking Problem of a Hybrid Wind-Solar-Battery Energy SystemOptimal Control Tracking Problem of a Hybrid Wind-Solar-Battery Energy System
Optimal Control Tracking Problem of a Hybrid Wind-Solar-Battery Energy SystemJulio Bravo
 
Good and bad_of_mini_hydro_power_vol.1
Good and bad_of_mini_hydro_power_vol.1Good and bad_of_mini_hydro_power_vol.1
Good and bad_of_mini_hydro_power_vol.1hprabowo
 
New Developments in Hydraulic Ram Pumping
New Developments in Hydraulic Ram PumpingNew Developments in Hydraulic Ram Pumping
New Developments in Hydraulic Ram PumpingFatin62c
 
Hybrid power generation by solar –wind
Hybrid power generation by solar –windHybrid power generation by solar –wind
Hybrid power generation by solar –windUday Wankar
 
Water level indicator by bhushan kumbhalkar
Water level indicator by  bhushan kumbhalkarWater level indicator by  bhushan kumbhalkar
Water level indicator by bhushan kumbhalkarBhushan Kumbhalkar
 
Feasibility Report of Small Hydroelectric Power Plant
Feasibility Report of Small Hydroelectric Power PlantFeasibility Report of Small Hydroelectric Power Plant
Feasibility Report of Small Hydroelectric Power PlantSulaman Muhammad
 
Paddling washing machine
Paddling washing machinePaddling washing machine
Paddling washing machineAmitav Roy
 
COST ESTIMATION OF SMALL HYDRO POWER GENERATION
COST ESTIMATION OF SMALL HYDRO POWER GENERATIONCOST ESTIMATION OF SMALL HYDRO POWER GENERATION
COST ESTIMATION OF SMALL HYDRO POWER GENERATIONRajeev Kumar
 
Rural electrification by Lakshmi.Nidoni-Seminar report final
Rural electrification by Lakshmi.Nidoni-Seminar report finalRural electrification by Lakshmi.Nidoni-Seminar report final
Rural electrification by Lakshmi.Nidoni-Seminar report finallakshmi nidoni
 
Portable Refrigerator Engineering design project
Portable Refrigerator Engineering design projectPortable Refrigerator Engineering design project
Portable Refrigerator Engineering design projecttharaka kaushalya
 

En vedette (20)

Design of Synchronverter based Microgrid
Design of Synchronverter based MicrogridDesign of Synchronverter based Microgrid
Design of Synchronverter based Microgrid
 
Energy Storage Systems – Grid Connection Using Synchronverters
Energy Storage Systems – Grid Connection Using SynchronvertersEnergy Storage Systems – Grid Connection Using Synchronverters
Energy Storage Systems – Grid Connection Using Synchronverters
 
WATER LEVEL INDICATOR
WATER LEVEL INDICATORWATER LEVEL INDICATOR
WATER LEVEL INDICATOR
 
The science behind how planes fly
The science behind how planes flyThe science behind how planes fly
The science behind how planes fly
 
A Simple Control Strategy for Boost Converter Based Wind and Solar Hybrid Ene...
A Simple Control Strategy for Boost Converter Based Wind and Solar Hybrid Ene...A Simple Control Strategy for Boost Converter Based Wind and Solar Hybrid Ene...
A Simple Control Strategy for Boost Converter Based Wind and Solar Hybrid Ene...
 
Inverter 12 VDC to 220 VAC
Inverter 12 VDC to 220 VACInverter 12 VDC to 220 VAC
Inverter 12 VDC to 220 VAC
 
An Experimental Prototype for Low Head Small Hydro Power Generation Using Hyd...
An Experimental Prototype for Low Head Small Hydro Power Generation Using Hyd...An Experimental Prototype for Low Head Small Hydro Power Generation Using Hyd...
An Experimental Prototype for Low Head Small Hydro Power Generation Using Hyd...
 
2017-0101_GlobalSolarCouncil-Pages-WebVer
2017-0101_GlobalSolarCouncil-Pages-WebVer2017-0101_GlobalSolarCouncil-Pages-WebVer
2017-0101_GlobalSolarCouncil-Pages-WebVer
 
Optimal Control Tracking Problem of a Hybrid Wind-Solar-Battery Energy System
Optimal Control Tracking Problem of a Hybrid Wind-Solar-Battery Energy SystemOptimal Control Tracking Problem of a Hybrid Wind-Solar-Battery Energy System
Optimal Control Tracking Problem of a Hybrid Wind-Solar-Battery Energy System
 
H00140717_Energy_Dissertation.
H00140717_Energy_Dissertation.H00140717_Energy_Dissertation.
H00140717_Energy_Dissertation.
 
Good and bad_of_mini_hydro_power_vol.1
Good and bad_of_mini_hydro_power_vol.1Good and bad_of_mini_hydro_power_vol.1
Good and bad_of_mini_hydro_power_vol.1
 
New Developments in Hydraulic Ram Pumping
New Developments in Hydraulic Ram PumpingNew Developments in Hydraulic Ram Pumping
New Developments in Hydraulic Ram Pumping
 
Hybrid power generation by solar –wind
Hybrid power generation by solar –windHybrid power generation by solar –wind
Hybrid power generation by solar –wind
 
VAWT Project
VAWT ProjectVAWT Project
VAWT Project
 
Water level indicator by bhushan kumbhalkar
Water level indicator by  bhushan kumbhalkarWater level indicator by  bhushan kumbhalkar
Water level indicator by bhushan kumbhalkar
 
Feasibility Report of Small Hydroelectric Power Plant
Feasibility Report of Small Hydroelectric Power PlantFeasibility Report of Small Hydroelectric Power Plant
Feasibility Report of Small Hydroelectric Power Plant
 
Paddling washing machine
Paddling washing machinePaddling washing machine
Paddling washing machine
 
COST ESTIMATION OF SMALL HYDRO POWER GENERATION
COST ESTIMATION OF SMALL HYDRO POWER GENERATIONCOST ESTIMATION OF SMALL HYDRO POWER GENERATION
COST ESTIMATION OF SMALL HYDRO POWER GENERATION
 
Rural electrification by Lakshmi.Nidoni-Seminar report final
Rural electrification by Lakshmi.Nidoni-Seminar report finalRural electrification by Lakshmi.Nidoni-Seminar report final
Rural electrification by Lakshmi.Nidoni-Seminar report final
 
Portable Refrigerator Engineering design project
Portable Refrigerator Engineering design projectPortable Refrigerator Engineering design project
Portable Refrigerator Engineering design project
 

Similaire à Recent developments in control, power electronics and renewable energy by Dr Zhong

Ian.petrow【transcendental number theory】.
Ian.petrow【transcendental number theory】.Ian.petrow【transcendental number theory】.
Ian.petrow【transcendental number theory】.Tong Leung
 
Solar Cells Lecture 3: Modeling and Simulation of Photovoltaic Devices and Sy...
Solar Cells Lecture 3: Modeling and Simulation of Photovoltaic Devices and Sy...Solar Cells Lecture 3: Modeling and Simulation of Photovoltaic Devices and Sy...
Solar Cells Lecture 3: Modeling and Simulation of Photovoltaic Devices and Sy...Tuong Do
 
Polarons in bulk and near surfaces
Polarons in bulk and near surfacesPolarons in bulk and near surfaces
Polarons in bulk and near surfacesnirupam12
 
Exact Sum Rules for Vector Channel at Finite Temperature and its Applications...
Exact Sum Rules for Vector Channel at Finite Temperature and its Applications...Exact Sum Rules for Vector Channel at Finite Temperature and its Applications...
Exact Sum Rules for Vector Channel at Finite Temperature and its Applications...Daisuke Satow
 
Merged Talk: A Verified Optimizer for Quantum Circuits & Verified Translation...
Merged Talk: A Verified Optimizer for Quantum Circuits & Verified Translation...Merged Talk: A Verified Optimizer for Quantum Circuits & Verified Translation...
Merged Talk: A Verified Optimizer for Quantum Circuits & Verified Translation...Robert Rand
 
Dsp U Lec08 Fir Filter Design
Dsp U   Lec08 Fir Filter DesignDsp U   Lec08 Fir Filter Design
Dsp U Lec08 Fir Filter Designtaha25
 
Reading Seminar (140515) Spectral Learning of L-PCFGs
Reading Seminar (140515) Spectral Learning of L-PCFGsReading Seminar (140515) Spectral Learning of L-PCFGs
Reading Seminar (140515) Spectral Learning of L-PCFGsKeisuke OTAKI
 
Adiabatic Theorem for Discrete Time Evolution
Adiabatic Theorem for Discrete Time EvolutionAdiabatic Theorem for Discrete Time Evolution
Adiabatic Theorem for Discrete Time Evolutiontanaka-atushi
 
Cunningham slides-ch2
Cunningham slides-ch2Cunningham slides-ch2
Cunningham slides-ch2cunningjames
 
Talk at CIRM on Poisson equation and debiasing techniques
Talk at CIRM on Poisson equation and debiasing techniquesTalk at CIRM on Poisson equation and debiasing techniques
Talk at CIRM on Poisson equation and debiasing techniquesPierre Jacob
 
Dsp U Lec06 The Z Transform And Its Application
Dsp U   Lec06 The Z Transform And Its ApplicationDsp U   Lec06 The Z Transform And Its Application
Dsp U Lec06 The Z Transform And Its Applicationtaha25
 
R. Jimenez - Fundamental Physics from Astronomical Observations
R. Jimenez - Fundamental Physics from Astronomical ObservationsR. Jimenez - Fundamental Physics from Astronomical Observations
R. Jimenez - Fundamental Physics from Astronomical ObservationsSEENET-MTP
 
Exponentials integrals
Exponentials integralsExponentials integrals
Exponentials integralsTarun Gehlot
 
Conference Poster: Discrete Symmetries of Symmetric Hypergraph States
Conference Poster: Discrete Symmetries of Symmetric Hypergraph StatesConference Poster: Discrete Symmetries of Symmetric Hypergraph States
Conference Poster: Discrete Symmetries of Symmetric Hypergraph StatesChase Yetter
 
Relaxed Utility Maximization in Complete Markets
Relaxed Utility Maximization in Complete MarketsRelaxed Utility Maximization in Complete Markets
Relaxed Utility Maximization in Complete Marketsguasoni
 
Doclad Ulm 2008
Doclad Ulm 2008Doclad Ulm 2008
Doclad Ulm 2008shmill
 

Similaire à Recent developments in control, power electronics and renewable energy by Dr Zhong (20)

Ian.petrow【transcendental number theory】.
Ian.petrow【transcendental number theory】.Ian.petrow【transcendental number theory】.
Ian.petrow【transcendental number theory】.
 
Solar Cells Lecture 3: Modeling and Simulation of Photovoltaic Devices and Sy...
Solar Cells Lecture 3: Modeling and Simulation of Photovoltaic Devices and Sy...Solar Cells Lecture 3: Modeling and Simulation of Photovoltaic Devices and Sy...
Solar Cells Lecture 3: Modeling and Simulation of Photovoltaic Devices and Sy...
 
Polarons in bulk and near surfaces
Polarons in bulk and near surfacesPolarons in bulk and near surfaces
Polarons in bulk and near surfaces
 
Exact Sum Rules for Vector Channel at Finite Temperature and its Applications...
Exact Sum Rules for Vector Channel at Finite Temperature and its Applications...Exact Sum Rules for Vector Channel at Finite Temperature and its Applications...
Exact Sum Rules for Vector Channel at Finite Temperature and its Applications...
 
Merged Talk: A Verified Optimizer for Quantum Circuits & Verified Translation...
Merged Talk: A Verified Optimizer for Quantum Circuits & Verified Translation...Merged Talk: A Verified Optimizer for Quantum Circuits & Verified Translation...
Merged Talk: A Verified Optimizer for Quantum Circuits & Verified Translation...
 
Dsp U Lec08 Fir Filter Design
Dsp U   Lec08 Fir Filter DesignDsp U   Lec08 Fir Filter Design
Dsp U Lec08 Fir Filter Design
 
Reading Seminar (140515) Spectral Learning of L-PCFGs
Reading Seminar (140515) Spectral Learning of L-PCFGsReading Seminar (140515) Spectral Learning of L-PCFGs
Reading Seminar (140515) Spectral Learning of L-PCFGs
 
Sm08a10
Sm08a10Sm08a10
Sm08a10
 
Adiabatic Theorem for Discrete Time Evolution
Adiabatic Theorem for Discrete Time EvolutionAdiabatic Theorem for Discrete Time Evolution
Adiabatic Theorem for Discrete Time Evolution
 
Igv2008
Igv2008Igv2008
Igv2008
 
Cunningham slides-ch2
Cunningham slides-ch2Cunningham slides-ch2
Cunningham slides-ch2
 
Talk at CIRM on Poisson equation and debiasing techniques
Talk at CIRM on Poisson equation and debiasing techniquesTalk at CIRM on Poisson equation and debiasing techniques
Talk at CIRM on Poisson equation and debiasing techniques
 
Hydrogen atom
Hydrogen atomHydrogen atom
Hydrogen atom
 
Dsp U Lec06 The Z Transform And Its Application
Dsp U   Lec06 The Z Transform And Its ApplicationDsp U   Lec06 The Z Transform And Its Application
Dsp U Lec06 The Z Transform And Its Application
 
R. Jimenez - Fundamental Physics from Astronomical Observations
R. Jimenez - Fundamental Physics from Astronomical ObservationsR. Jimenez - Fundamental Physics from Astronomical Observations
R. Jimenez - Fundamental Physics from Astronomical Observations
 
Sm421 rg
Sm421 rgSm421 rg
Sm421 rg
 
Exponentials integrals
Exponentials integralsExponentials integrals
Exponentials integrals
 
Conference Poster: Discrete Symmetries of Symmetric Hypergraph States
Conference Poster: Discrete Symmetries of Symmetric Hypergraph StatesConference Poster: Discrete Symmetries of Symmetric Hypergraph States
Conference Poster: Discrete Symmetries of Symmetric Hypergraph States
 
Relaxed Utility Maximization in Complete Markets
Relaxed Utility Maximization in Complete MarketsRelaxed Utility Maximization in Complete Markets
Relaxed Utility Maximization in Complete Markets
 
Doclad Ulm 2008
Doclad Ulm 2008Doclad Ulm 2008
Doclad Ulm 2008
 

Dernier

Keynote by Prof. Wurzer at Nordex about IP-design
Keynote by Prof. Wurzer at Nordex about IP-designKeynote by Prof. Wurzer at Nordex about IP-design
Keynote by Prof. Wurzer at Nordex about IP-designMIPLM
 
Activity 2-unit 2-update 2024. English translation
Activity 2-unit 2-update 2024. English translationActivity 2-unit 2-update 2024. English translation
Activity 2-unit 2-update 2024. English translationRosabel UA
 
4.16.24 21st Century Movements for Black Lives.pptx
4.16.24 21st Century Movements for Black Lives.pptx4.16.24 21st Century Movements for Black Lives.pptx
4.16.24 21st Century Movements for Black Lives.pptxmary850239
 
Karra SKD Conference Presentation Revised.pptx
Karra SKD Conference Presentation Revised.pptxKarra SKD Conference Presentation Revised.pptx
Karra SKD Conference Presentation Revised.pptxAshokKarra1
 
How to do quick user assign in kanban in Odoo 17 ERP
How to do quick user assign in kanban in Odoo 17 ERPHow to do quick user assign in kanban in Odoo 17 ERP
How to do quick user assign in kanban in Odoo 17 ERPCeline George
 
Barangay Council for the Protection of Children (BCPC) Orientation.pptx
Barangay Council for the Protection of Children (BCPC) Orientation.pptxBarangay Council for the Protection of Children (BCPC) Orientation.pptx
Barangay Council for the Protection of Children (BCPC) Orientation.pptxCarlos105
 
Inclusivity Essentials_ Creating Accessible Websites for Nonprofits .pdf
Inclusivity Essentials_ Creating Accessible Websites for Nonprofits .pdfInclusivity Essentials_ Creating Accessible Websites for Nonprofits .pdf
Inclusivity Essentials_ Creating Accessible Websites for Nonprofits .pdfTechSoup
 
4.18.24 Movement Legacies, Reflection, and Review.pptx
4.18.24 Movement Legacies, Reflection, and Review.pptx4.18.24 Movement Legacies, Reflection, and Review.pptx
4.18.24 Movement Legacies, Reflection, and Review.pptxmary850239
 
ANG SEKTOR NG agrikultura.pptx QUARTER 4
ANG SEKTOR NG agrikultura.pptx QUARTER 4ANG SEKTOR NG agrikultura.pptx QUARTER 4
ANG SEKTOR NG agrikultura.pptx QUARTER 4MiaBumagat1
 
Difference Between Search & Browse Methods in Odoo 17
Difference Between Search & Browse Methods in Odoo 17Difference Between Search & Browse Methods in Odoo 17
Difference Between Search & Browse Methods in Odoo 17Celine George
 
Influencing policy (training slides from Fast Track Impact)
Influencing policy (training slides from Fast Track Impact)Influencing policy (training slides from Fast Track Impact)
Influencing policy (training slides from Fast Track Impact)Mark Reed
 
Grade 9 Quarter 4 Dll Grade 9 Quarter 4 DLL.pdf
Grade 9 Quarter 4 Dll Grade 9 Quarter 4 DLL.pdfGrade 9 Quarter 4 Dll Grade 9 Quarter 4 DLL.pdf
Grade 9 Quarter 4 Dll Grade 9 Quarter 4 DLL.pdfJemuel Francisco
 
What is Model Inheritance in Odoo 17 ERP
What is Model Inheritance in Odoo 17 ERPWhat is Model Inheritance in Odoo 17 ERP
What is Model Inheritance in Odoo 17 ERPCeline George
 
Student Profile Sample - We help schools to connect the data they have, with ...
Student Profile Sample - We help schools to connect the data they have, with ...Student Profile Sample - We help schools to connect the data they have, with ...
Student Profile Sample - We help schools to connect the data they have, with ...Seán Kennedy
 
Full Stack Web Development Course for Beginners
Full Stack Web Development Course  for BeginnersFull Stack Web Development Course  for Beginners
Full Stack Web Development Course for BeginnersSabitha Banu
 
Transaction Management in Database Management System
Transaction Management in Database Management SystemTransaction Management in Database Management System
Transaction Management in Database Management SystemChristalin Nelson
 
Global Lehigh Strategic Initiatives (without descriptions)
Global Lehigh Strategic Initiatives (without descriptions)Global Lehigh Strategic Initiatives (without descriptions)
Global Lehigh Strategic Initiatives (without descriptions)cama23
 
Field Attribute Index Feature in Odoo 17
Field Attribute Index Feature in Odoo 17Field Attribute Index Feature in Odoo 17
Field Attribute Index Feature in Odoo 17Celine George
 

Dernier (20)

Keynote by Prof. Wurzer at Nordex about IP-design
Keynote by Prof. Wurzer at Nordex about IP-designKeynote by Prof. Wurzer at Nordex about IP-design
Keynote by Prof. Wurzer at Nordex about IP-design
 
Activity 2-unit 2-update 2024. English translation
Activity 2-unit 2-update 2024. English translationActivity 2-unit 2-update 2024. English translation
Activity 2-unit 2-update 2024. English translation
 
4.16.24 21st Century Movements for Black Lives.pptx
4.16.24 21st Century Movements for Black Lives.pptx4.16.24 21st Century Movements for Black Lives.pptx
4.16.24 21st Century Movements for Black Lives.pptx
 
YOUVE GOT EMAIL_FINALS_EL_DORADO_2024.pptx
YOUVE GOT EMAIL_FINALS_EL_DORADO_2024.pptxYOUVE GOT EMAIL_FINALS_EL_DORADO_2024.pptx
YOUVE GOT EMAIL_FINALS_EL_DORADO_2024.pptx
 
Karra SKD Conference Presentation Revised.pptx
Karra SKD Conference Presentation Revised.pptxKarra SKD Conference Presentation Revised.pptx
Karra SKD Conference Presentation Revised.pptx
 
How to do quick user assign in kanban in Odoo 17 ERP
How to do quick user assign in kanban in Odoo 17 ERPHow to do quick user assign in kanban in Odoo 17 ERP
How to do quick user assign in kanban in Odoo 17 ERP
 
Barangay Council for the Protection of Children (BCPC) Orientation.pptx
Barangay Council for the Protection of Children (BCPC) Orientation.pptxBarangay Council for the Protection of Children (BCPC) Orientation.pptx
Barangay Council for the Protection of Children (BCPC) Orientation.pptx
 
Raw materials used in Herbal Cosmetics.pptx
Raw materials used in Herbal Cosmetics.pptxRaw materials used in Herbal Cosmetics.pptx
Raw materials used in Herbal Cosmetics.pptx
 
Inclusivity Essentials_ Creating Accessible Websites for Nonprofits .pdf
Inclusivity Essentials_ Creating Accessible Websites for Nonprofits .pdfInclusivity Essentials_ Creating Accessible Websites for Nonprofits .pdf
Inclusivity Essentials_ Creating Accessible Websites for Nonprofits .pdf
 
4.18.24 Movement Legacies, Reflection, and Review.pptx
4.18.24 Movement Legacies, Reflection, and Review.pptx4.18.24 Movement Legacies, Reflection, and Review.pptx
4.18.24 Movement Legacies, Reflection, and Review.pptx
 
ANG SEKTOR NG agrikultura.pptx QUARTER 4
ANG SEKTOR NG agrikultura.pptx QUARTER 4ANG SEKTOR NG agrikultura.pptx QUARTER 4
ANG SEKTOR NG agrikultura.pptx QUARTER 4
 
Difference Between Search & Browse Methods in Odoo 17
Difference Between Search & Browse Methods in Odoo 17Difference Between Search & Browse Methods in Odoo 17
Difference Between Search & Browse Methods in Odoo 17
 
Influencing policy (training slides from Fast Track Impact)
Influencing policy (training slides from Fast Track Impact)Influencing policy (training slides from Fast Track Impact)
Influencing policy (training slides from Fast Track Impact)
 
Grade 9 Quarter 4 Dll Grade 9 Quarter 4 DLL.pdf
Grade 9 Quarter 4 Dll Grade 9 Quarter 4 DLL.pdfGrade 9 Quarter 4 Dll Grade 9 Quarter 4 DLL.pdf
Grade 9 Quarter 4 Dll Grade 9 Quarter 4 DLL.pdf
 
What is Model Inheritance in Odoo 17 ERP
What is Model Inheritance in Odoo 17 ERPWhat is Model Inheritance in Odoo 17 ERP
What is Model Inheritance in Odoo 17 ERP
 
Student Profile Sample - We help schools to connect the data they have, with ...
Student Profile Sample - We help schools to connect the data they have, with ...Student Profile Sample - We help schools to connect the data they have, with ...
Student Profile Sample - We help schools to connect the data they have, with ...
 
Full Stack Web Development Course for Beginners
Full Stack Web Development Course  for BeginnersFull Stack Web Development Course  for Beginners
Full Stack Web Development Course for Beginners
 
Transaction Management in Database Management System
Transaction Management in Database Management SystemTransaction Management in Database Management System
Transaction Management in Database Management System
 
Global Lehigh Strategic Initiatives (without descriptions)
Global Lehigh Strategic Initiatives (without descriptions)Global Lehigh Strategic Initiatives (without descriptions)
Global Lehigh Strategic Initiatives (without descriptions)
 
Field Attribute Index Feature in Odoo 17
Field Attribute Index Feature in Odoo 17Field Attribute Index Feature in Odoo 17
Field Attribute Index Feature in Odoo 17
 

Recent developments in control, power electronics and renewable energy by Dr Zhong

  • 1. An Overview of Activities in C ONTROL AND P OWER Qing-Chang Zhong zhongqc@ieee.org Electrical Drives, Power and Control Group Dept. of Electrical Eng. & Electronics The University of Liverpool Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 1/77
  • 2. Outline Research activities in control Research activities in power Other research activities Practical experiences New-ACE Teaching Funding Future research plan Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 2/77
  • 3. Research activities in control On the theoretical side, my research has been focus- ing on robust control, time-delay systems, process control, and recently applying the theory of infinite- dimensional systems to time-delay systems. A series of problems have been solved: Projections J-spectral factorisation Delay-type Nehari problem Standard H ∞ problem of single-delay systems Realisation of distributed delays in controllers Feedback stabilizability of linear systems with state and input delays in Banach spaces Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 3/77
  • 4. Major publications IEEE Trans. Automatic Control: 7 Automatica: 4 Other IEEE Transactions: 3 IET Control Theory & Applications: 4 One research monograph Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 4/77
  • 5. Projections For a given nonsingular matrix partitioned as M N , denote the projection onto the subspace Im M along the subspace Im N by P . Then, the projection matrix P is −1 P = M 0 M N . Similarly, the projection Q onto the subspace Im N along the sub- space Im M is −1 −1 Q= 0 N M N = N 0 N M . If M T N = 0, then the projection matrices reduce to P = M (M T M )−1 M T and Q = N (N T N )−1 N T . Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 5/77
  • 6. J-spectral factorisation J-spectral factorisation is defined as Λ(s) = W ∼ (s)JW (s), where the J-spectral factor W (s) is bistable and Λ(s) ∼ . T is a para-Hermitian matrix: Λ(s) = Λ (s) = Λ (−s). Assume that Λ, having no poles or zeros on the jω-axis including ∞, is realised as Hp BΛ Λ= = D + CΛ (sI − Hp )−1 BΛ (1) CΛ D and denote the A-matrix of Λ−1 as Hz , i.e., Hz = Hp − BΛ D−1 CΛ . Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 6/77
  • 7. Triangular forms of Hp and Hz Assume that a para-Hermitian matrix Λ as given in (1) is minimal and has no poles or zeros on the jω-axis including ∞. There always exist nonsingular matrices ∆p and ∆z (e.g. via Schur decomposition) such that −1 ? 0 ∆p Hp ∆p = ? A+ and A− ? ∆−1 Hz ∆z z = , 0 ? where A+ is antistable and A− is stable (A+ and A− have the same dimension). Note: No structural information of Hp and Hz is needed. Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 7/77
  • 8. Factorisation with two matrices Lemma Λ admits a Jp,q -spectral factorisation for some unique Jp,q (where p is the number of the positive eigenvalues of D and q is the number of the negative eigenvalues of D) iff I 0 ∆= ∆z ∆p 0 I is nonsingular. If this condition is satisfied, then a J−spectral factor is formulated as     I  I 0 ∆−1 Hp ∆   I 0 ∆−1 BΛ     0  W =    ,  (2)  −∗ I   Jp,q DW CΛ ∆   DW  0 ∗ where DW is a nonsingular solution of DW Jp,q DW = D. Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 8/77
  • 9. Factorisation with one common matrix In general, ∆z = ∆p . However, these two can be the same. Theorem Λ admits a J-spectral factorisation if and only if there exists a nonsingular matrix ∆ such that Ap 0 z A− ? ∆−1 Hp ∆ = − p , ∆−1 Hz ∆ = ? A+ 0 Az + where Az and Ap are stable, and Az and A+ are an- − − + p tistable. When this condition is satisfied, a J-spectral factor W is given in (2). Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 9/77
  • 10. The Delay-type Nehari problem Given a minimal state-space realisation Gβ = −C B , A 0 which is not necessarily stable, and h ≥ 0, characterise the optimal value γopt = inf{ Gβ (s) + e−sh K(s) L∞ : K(s) ∈ H ∞ } and for a given γ > γopt , parametrise the suboptimal set of proper K ∈ H ∞ such that Gβ (s) + e−sh K(s) L∞ < γ. Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 10/77
  • 11. The optimal value The optimal value γopt is   Lo γopt ˆ = max{γ : det Σ22 = 0}, ˆ Σ22 = −Lc I Σ , I where Lo and Lc are stabilising solutions, respectively, to    A γ −2 BB ∗ I −Lc I    = 0, 0 −A∗ Lc    A 0 Lo I −Lo    = 0. −C ∗ C −A∗ I     Σ11 Σ12 . A γ −2 BB ∗ Σ=  = Σ(h) = exp(  h) Σ21 Σ22 −C ∗ C −A∗ Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 11/77
  • 12. The structure of K z' j' u −sh ' @ ' @ K e I T c Gβ Z W −1 Q T T - c E j E w y Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 12/77
  • 13. 1 Example: Gβ (s) = − s−a (a > 0) 1 0.9 aγopt 0.8 0.7 0.6 aγ 0.5 0.4 ˆ Σ22 0.3 0.2 ah 0.1 0 0 1 2 3 4 5 6 7 8 9 10 aγ ah ˆ ˆ 22 with re- The contour Σ22 = 0 on the The surface Σ spect to ah and aγ ah-aγ plane 1 Since I −Lc Lo = 1−4a2 γ 2 , there is ΓGβ = 2a . As a result, the optimal value γopt satisfies 0.5 ≤ aγopt ≤ 1. Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 13/77
  • 14. ∞ The standard H problem of single-delay systems Given a γ > 0, find a proper controller K such that the closed-loop system is internally stable and Fl (P, Ke−sh) ∞ < γ. ' z ' w P u '1 y e−sh I ' u E K Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 14/77
  • 15. Simplifying the problem z' u @' 1 @ ' u −sh e I Cr (P ) K T E w y z' @' 1 @ u @ 'z1 @ u @' 1 @ ' u −sh e I Cr (P ) Gα Cr (Gβ ) K T E E wE 1 w y y Delay-free problem 1-block delay problem Gα is the controller generator of the delay-free prob- . −1 lem. Gβ is defined such that Cr (Gβ ) = Gα . Gα and Cr (Gβ ) are all bistable. Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 15/77
  • 16. Solution to the problem Solvability ⇐⇒ : H0 ∈ dom(Ric) and X = Ric(H0 ) ≥ 0; J0 ∈ dom(Ric) and Y = Ric(J0 ) ≥ 0; ρ(XY ) < γ 2 ; γ > γh , where γh = max{γ : det Σ22 = 0}. u ' @' @   c A + B2 C1 B2 − Σ12 Σ−1 C1 Σ−∗ B1 22 ∗ 22 −1 Q V −1 = C1 I 0  Z V −γ −2 B1 Σ∗ − C2 Σ∗ ∗ 21 22 0 I T - E c h E y Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 16/77
  • 17. Implementation of the controller As seen above, the control laws associated with delay systems normally include a distributed delay like ¢ h v(t) = eAζ Bu(t − ζ)dζ, 0 or in the s-domain, Z(s) = (I − e−(sI−A)h ) · (sI − A)−1 . The implementation of Z is not trivial because A 1 may be unstable. This problem had confused the 10 delay community for several years and was pro- 0 10 Approximation error posed as an open problem in Automatica in 2003. −1 N=1 It was reported that the quadrature implementation 10 might cause instability however accurate the imple- −2 N=5 10 mentation is. −3 10 N=20 My investigation shows that: −4 10 The quadrature approximation error converges to 0 −2 10 10 −1 10 0 10 1 10 2 10 3 in the sense of H ∞ -norm. Frequency (rad/sec) Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 17/77
  • 18. A trivial but significant result y(τ) y(t) p(t) = ∗ 1 t−h/N t τ 0 t 0 h/N t ¢ h ¢ t N y(t − τ )dτ = y(τ )dτ = y(t) ∗ p(t). 0 h t− N N −1 ¢ (i+1) h ¡h N 0 eAζ Bu(t − ζ)dζ = eAζ Bu(t − ζ)dζ h iN i=0 N −1 ¢ h (i+1) N h ≈ eiA N B u(t − ζ)dζ h iN i=0 N −1 h h = eiA N Bu(t − i ) ∗ p(t) i=0 N Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 18/77
  • 19. Rational implementation xN x N −1 x2 x1 ub Π … Π Π Φ −1 B u vr … Π = ( sI − A + Φ ) −1 Φ Π = (sI − A + Φ)−1 Φ, ¡ h Φ=( N 0 e−Aζ dζ)−1 . Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 19/77
  • 20. Unified Smith predictor (USP) A numerical problem with the modified Smith predictor (MSP) is identified. See the simple but a little bit extreme example 1 1 P (s) = + . s + 1000 s − 1 The MSP is e1000h − e−sh e−h − e−sh ZMSP (s) = + . s + 1000 s−1 According to the IEEE Standard 754, e1000h is regarded to be +∞ (INF) for h ≥ 0.71sec. This is not acceptable in practice. A unified Smith predictor is proposed to fix this problem. An equivalent structure of systems incorporating USP is derived and then applied to solve various problems. Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 20/77
  • 21. Feedback stabilisation of delay systems The feedback stabilizability of the state–input delay system x(t) = A0 x(t) + A1 x(t − r) + P u(t) + P1 u(t − r) ˙ is equivalent to the condition Rank (P + e−rλi P1 )∗ · ϕi = di , i = 1, 2, · · · , l. where λi ∈ {λ1 , λ2 , · · · , λl } = {λ ∈ C : det ∆(λ) = 0 and Reλ ≥ 0} with ∆(λ) := λI − A0 − A1 e−rλ . The dimension of Ker∆(λi )∗ is di and the basis of Ker∆(λi )∗ is ϕi , ϕi , · · · , ϕi i for i = 1, 2, · · · , l . 1 2 d Appeared in IEEE Trans. Automatic Control as a reg- ular paper. Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 21/77
  • 22. Research activities in power Focusing on power electronics & renewable energy Voltage control of DC-AC converters Neutral point generation Grid-friendly inverters: Synchronverters Regulation of induction generators for wind power Control of wind turbines Energy recovery from landing aircraft Damping control of inter-area oscillations in power systems DC and AC drives AC Ward Leonard drive systems Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 22/77
  • 23. DC-AC converters in the context of distributed generation DC Local Diode link DC-AC grid generator Rectifier Converter Micro- grid Fuel cells Photo-voltaic etc. Gas turbines Wind-mills etc. Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 23/77
  • 24. Control problems involved voltage control: e = Vref − Vc as small as possible neutral point control: to provide a non-drifting neutral point power control: to regulate the active/reactive power phase-locked loop (PLL): to synchronise the con- verter with the grid Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 24/77
  • 25. Voltage control of DC-AC converters The single-phase circuit: The objective is to make sure that the output voltage Vout or Vc is a clean sinusoidal signal even when the load is nonlinear and/or the public grid is polluted with harmonics. Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 25/77
  • 26. Structure of voltage controller Techniques used: H ∞ control Repetitive control, where a delay is introduced into the controller Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 26/77
  • 27. Formulation of the H ∞ control problem Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 27/77
  • 28. Nyquist plot of the system −L(jω) 8 6 4 2 Im 0 −2 −4 −6 −8 −2 −1 0 1 2 3 4 5 6 Re Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 28/77
  • 29. Simulation results 400 400 V (external) grid c e 300 300 200 200 micro−grid Voltage (V) 100 Voltage (v) 100 0 0 −100 −100 −200 −200 −300 −300 −400 −400 0 0.05 0.1 0.15 0.2 0.36 0.37 0.38 0.39 0.4 Time (sec) Time (sec) (a) Transient response (b) Steady-state response Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 29/77
  • 30. Experimental results 20 10 Voltage [V] 0 #1:1 #1:2 -10 -20 0.00 0.01 0.02 0.03 0.04 0.05 Time [sec] (a) voltage and its reference 4 Voltage error [V] 2 #1:1 0 -2 -4 0.00 0.01 0.02 0.03 0.04 0.05 Time [sec] (b) tracking error Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 30/77
  • 31. Neutral-point control: Existing schemes Split DC link Conventional neutral leg Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 31/77
  • 32. Neutral-point control: Proposed scheme Control objective: to force ic ≈ 0 so that the point N will be the mid-point of DC supply. No need to re-design the converter; The controller is decoupled. Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 32/77
  • 33. ∞ H control design This is a double-integrator system. Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 33/77
  • 34. Experimental results Vave 0.2V/div iN 50A/div iL 50A/div ic 20A/div 0.17 0.18 0.19 0.20 0.21 0.22 0.23 0.24 0.25 0.26 0.27 Time (sec) Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 34/77
  • 35. Grid-friendly inverters Many strategies have been set to explore renewable en- ergy sources, such as wind and solar power, to lead to a low carbon economy. However, the increasing share of the electricity generated from these sources (which is often fed into the grid via inverters) could be a po- tential threat to the overall stability of the future power system when it reaches a certain level. Utility com- panies would expect to minimise the impact of a large number of grid-connected inverters on the power sys- tem. Moreover, how to share load among these invert- ers autonomously is also a problem. Our Solution: Synchronverters: Inverters that mimic synchronous generators Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 35/77
  • 36. Synchronous generators di (θ = 0 ) v = −Rs i − Ls + e, dt Rotor field axis Rs , L ˙sinθ−Mf dif cosθ, e = Mf if θ Rotation dt M M N Te = pMf if i, sinθ , Field voltage Rs , L Rs , L ˙ Q = −θMf if i, cosθ , M ¨ ˙ J θ = Tm − Te − Dp θ. Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 36/77
  • 37. The synchronverter + Circuit Ls , R s va Lg , R g Breaker ia vga ea vb VDC ib vgb eb vc ec ic vgc C - (a) The power part Dp - Tm 1 θ& 1 θ Js s - Te Eqn. (7) Q Eqn. (8) Eqn. (9) e Mf if i (b) The Zelectronic part Q.-C. :A O A HONG N VERVIEW OF CTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 37/77
  • 38. Experimental setup Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 38/77
  • 39. Experimental results: I Frequency (Hz) P (W) and Q (Var) s d d P Q   ©   Time (Second) Time (Second) (a) synchronverter (b) real power P and frequency reactive power Q Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 39/77
  • 40. Experimental results: II y ˆ ˆ Frequency (Hz) P (W) and Q (Var) P Q ©   Time (Second) Time (Second) (a) synchronverter (b) real power P and frequency reactive power Q Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 40/77
  • 41. Regulation of induction generators for wind power Q P Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 41/77
  • 42. Control of wind turbines Patented by Nheolis, France, installed on the department’s rooftop Experiments show that the new wind turbine is very efficient. The maximum mechanical power of a prototype with a 2m (diame- ter) rotor reached 12kW at a wind speed of 20m/s. The nominal power is 4.1kW at 14 m/s. A 1-meter 3-bladed prototype recorded 2.8kW mechanical power at 14 m/s. This is much more efficient than any commercial wind turbines available. Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 42/77
  • 43. Buck Boost Converter Converter Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 43/77
  • 44. Energy recovery from landing aircraft Aircraft Risen slope to fall when energy recovery is activated Coils Runway Magnets with alternative poles (N, S, N, …) Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 44/77
  • 45. Voltage and current (zoomed) 6000 4000 Phase A voltage 2000 0 -2000 -4000 -6000 0 0.1 0.2 0.3 0.4 0.5 5 x 10 1 Phase A current 0.5 0 -0.5 -1 0 0.1 0.2 0.3 0.4 0.5 Time Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 45/77
  • 46. 800 600 d 400 200 0 6000 100 4000 Phase A voltage 2000 v 50 0 0 -2000 0 -4000 a -5 -6000 0 5 10 15 20 25 30 -10 7 x 10 2000 2 p 1 Phase A current 1000 0 7 0 x 10 10 -1000 E 5 -2000 0 5 10 15 20 25 30 0 0 5 10 15 20 25 30 Time Time (a) Phase current and (b) Distance, speed, the generated voltage deceleration, power and (phase) energy Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 46/77
  • 47. Damping control of inter-area oscilla- tions in large-scale power systems TCSC: Thyristor Controlled Switched Capacitors Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 47/77
  • 48. AC-DC converters: DC drives Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 48/77
  • 49. AC-DC-AC converters: AC drives Philips Semiconductors VVVF speed control by: using the PWM circuit HEF4752V shown above using Intel 8051 microcomputer to generate space vector PWM signal Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 49/77
  • 50. Ward Leonard drive systems Prime Load mover Constant Variable speed speed Controllable field Fixed field Conventional (DC) Ward Leonard drive systems Inverter Variable speed Prime Load VDC SG SM/IM mover Variable speed Fixed field AC Ward Leonard drive systems Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 50/77
  • 51. Exp. results: high-speed, no load (a) speed (b) torque (c) current (d) voltage Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 51/77
  • 52. Exp. results: low-speed, no load (a) speed (b) torque (c) current (d) voltage Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 52/77
  • 53. Other research activities Rapid control prototyping dSPACE MICROGen Texas Instruments kits Embedded systems and control Process control Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 53/77
  • 54. Rapid control prototyping (RCP) There are two sets of dSPACE+Matlab/Simulink/SimPower in the lab. Single-board PCI hardware for use in PCs powerful development system for RCP Real-Time Interface provides Simulink® blocks for graphical configuration of A/D, D/A, digital I/O lines, incremental encoder interface and PWM generation Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 54/77
  • 55. MicroGen A universal electronic control unit with MPC555 built-in Software-configurable I/O and signal conditioning Using industry standard SimuLink® Enabling technology for RCP and HiL applica- tions Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 55/77
  • 56. Texas Instruments kits TI has donated about 20 sets of different digital signal controllers (including TMS320F28335) equipped with the full version of latest Code Composer Studio 4.0. Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 56/77
  • 57. Embedded systems & control Different development kits for embedded control: Wind River Workbench + Wind River Probe Freescale MPC5567 Mathworks xPC target EasyPIC4 dsPICPro2 Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 57/77
  • 58. Wind River Support a wide range of processors USB 2.0-compliant host connection High-speed JTAG run control and program download Hot-plug-capable interconnect system RTOS: VxWorks, Linux, and ThreadX Built-in hardware diagnostics Flash memory programming Wind River Probe Source-level debugging Support for Memory Management Units Open API integration Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 58/77
  • 59. Freescale MPC5567 132 MHz PowerPC-based e200z6 core a dual-channel FlexRay controller (10 Mbit/sec) Fast Ethernet controller, 5 FlexCAN modules 40-channel dual analog-to-digital converter (ADC) 24-channel PWM 32-channel direct memory :access (DMA) controller E Q.-C. Z HONG A O N A C VERVIEW OFT & CTIVITIES IN ONTROL HEORY NGINEERING – p. 59/77
  • 60. Mathworks xPC target Provide a high-performance host-target environment Design a control system using Simulink® and Stateflow® Generate code with Real-Time Workshop® and Stateflow Coder™ and download the code to a target PC running the xPC Target real-time kernel Execute the code in real time on low-cost PC-compatible hardware Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 60/77
  • 61. EasyPIC4 3 in 1: Development, USB 2.0 programmer, ICD Supports 8, 14, 18, 20, 28 and 40 pin PIC Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 61/77
  • 62. dsPICPro2 Supports dsPIC in 64 and 80 pins package. USB 2.0 programmer on board + A/D + D/A Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 62/77
  • 63. Chemical process control (1992) 16 reactors, controlled by 3 industrial computers Effective object code > 100 KB (Intel 8086 assembler) Analogue control variables include pressure, temperature, level, flow and weight etc. Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 63/77
  • 64. Integral processes with dead time Integral process with dead-time (IPDT): G(s) = Gp (s)e−τ s = k e−τ s s Consider the disturbance observer-based control scheme (Zhong and Normey-Rico, 2001) d r Ef E Ef c u c Ef E y E d C(s) Gp (s)e−τ s T − T − r u c y ˆ E CGm E h E F (s) E h E Gp (s)e−τ s E d (1+CGm )F (s) Gm (1−Qe−τm s ) T ' c − n Gm (s) ' E e−τm s Ef' G−1 (s) m ' f − ' cn ' ' Q(s) h Q(s) F (s) Disturbance Observer (a) Disturbance observer-based control scheme (b) equivalent structure for implementation where k 1 (2λ + τm )s + 1 1 Gm (s) = , C(s) = , Q(s) = , F (s) = s kT (λs + 1)2 λs + 1 and λ is a free design parameter. 1 Setpoint response: Gyr (s) =T s+1 e−τm s Disturbance response: Gyd (s) = k 1 − Q(s)e−τm s s e−τm s Measurement noise response: Gyn (s) = Q(s)e−τm s Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 64/77
  • 65. Robust stability region 1.5 2 3 0.6 1 3 5 2. 2 6 2.5 0.5 0.4 1.5 5 1.5 4 0.2 2 0.2 1 β 1 0.5 ∆k/k 3 0 2 0.2 2 0.5 1.5 1 −0.2 1.5 0 −0.4 1 −0.7 0.5 −0.5 1 −0.3 2 1 −0.1 1.5 1.5 0.1 1 −0.6 ∆K/K 0.5 2 0.3 0 ∆τ/τ 1.5 0.5 −0.5 0.7 −1 −1 −0.8 −0.6 −0.4 −0.2 0 0.2 0.4 0.6 0.8 1 τ /τ ∆ m Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 65/77
  • 66. Deadbeat response Theorem The considered system rejects a step distur- bance at t = T2 (T2 > T1 > 0) if Q(s) is chosen as q0 + q1 e−T1s + q2 e−T2s Q(s) = λs + 1 with  eT2 /λ (λ+τm +T1 )−eT1 /λ (λ+τm +T2 )  q0 =    T2 −T1 +T1 eT2 /λ −T2 eT1 /λ    λ+τm +T2 −eT2 /λ (λ+τm ) q1 = T2 −T1 +T1 eT2 /λ −T2 eT1 /λ        q = − λ+τm +T1 −eT1 /λ (λ+τm ) 2 T −T +T eT2 /λ −T eT1 /λ 2 1 1 2 where λ > 0 is a free parameter. Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 66/77
  • 67. Robustness indicator 2 i=0 |qi | Point A J = λ can be interpreted as a robustness indicator: The lower the point A, the better the robustness. In order to obtain the largest robust region for given T2 and λ, minimise the robust indicator: 2 |qi | min J = min i=0 T1 T1 λ 1 where J can be re-written as 0.9 0.8 0.7 1 2(λ + τm )(eT2 /λ − 1) − 2T2 0.6 J= 1+ T1/T2 λ T2 − T1 + T1 eT2 /λ − T2 eT1 /λ 0.5 0.4 0.3 Since 2(λ + τm )(eT2 /λ − 1) − 2T2 > 0 and 0.2 T2 − T1 + T1 eT2 /λ − T2 eT1 /λ > 0 for T2 > 0.1 1 T1 > 0 and λ > 0, J is always larger than λ . 0 0 1 2 3 4 5 6 7 8 9 10 Differentiate J with respect to T1 and let it be 0, T2/λ then When T2 /λ → 0, T1 → 0.5T2 ; when −1 + eT2 /λ − T2 eT1 /λ = 0 λ T2 /λ → ∞, T1 → T2 . Thus, T1 is always Solve it, we have less than T2 , as expected. T1 T2 /λ T2 = λ T2 ln e T /λ −1 2 Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 67/77
  • 68. Robustness indicator (cont.) Denote λ T2 α= and β = τm τm then the minimal cost is   1 1  2(1 + )(eβ/α − 1) − 2β/α α Jo = 1+  β/α −1 ατm β/α + (eβ/α − 1) ln e β/α − 1 150 100 Τm Jo 50 0 1 1 2 2 3 3 T2 Τm 4 4 5 Λ Τm Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 68/77
  • 69. Simulation example Consider a process with Control parameters: 1 T2 = 2τm = 10sec Gm (s) = , τm = 5 sec, s λ = 0.5τm = 2.5sec T1 = 6.5sec assume that the worst multiplicative uncer- 1 q0 = 2.36, q1 = −1.75, q2 = 0.39 tainty is ∆(s) = 0.1s+1 e−0.5s − 1. (a) Nominal case (b) The worst case Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 69/77
  • 70. Practical experiences Software design Intel 8086 assembly language: > 100kB binary code C language: > 10,000 lines Database/Javascript Hardware design Micro-computers: Intel 8051, Zilog Z80, Motorola ... DC, AC drives etc Lift control systems System design experience Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 70/77
  • 71. New-ACE: www.newace.org.uk Leading a nation-wide collaborative network: New-ACE, which is funded by a £88k EPSRC grant. Partners: Imperial, Sheffield, Loughborough and Queen’s Belfast. Advisory members: D.J.N. Limebeer (Imperial), D.H. Owens (Sheffield), R.M. Goodall (Loughborough), G. Irwin (Queen’s Belfast), Q.H. Wu (Liverpool). Main activities and outcomes: to organise six workshops in subject areas including renewable energy and control in power electronics to submit 6~12 joint proposals in the coming three years. Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 71/77
  • 72. Objectives of the New-ACE to provide a platform for the members to exchange ideas, experience and practise to develop and strengthen long-term collaboration activities, including joint applications and collaborations with industry to support potential future leaders in control engineering and related areas to develop and sustain a strong future for control engineering in the UK Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 72/77
  • 73. Teaching Philosophy: Teaching and research help each other. Quality teaching provides a constant flow of ex- cellent students for research. The best student of 2007, whose FYP was directed by me, has been attracted to study for a PhD degree under my supervision. He won both the principal Faculty undergraduate award and the IET Prize. Modules taught this year: Power electronics and electromechanics Energy conversion and power systems Digital control Discrete-time signals and systems Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 73/77
  • 74. Funding Current projects: Royal Academy of Engineering, £41k EPSRC: EP/H004351/1, £112k EPSRC: EP/H004424/1, £68k EPSRC: EP/E055877/1, £88k EPSRC: one DTA studentship EPSRC and Add2: DHPA Award, £90k ESPRC and Nheolis: DHPA Award, £90k Completed projects: EPSRC: EP/C005953/1, £126k Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 74/77
  • 75. Research team One part-time secretary Currently 5 PhD students, one postdoctoral research fellow and two Honorary Researchers Another postdoc researcher and one PhD student to join soon (funding already secured) A former postdoctoral research fellow is still in active collaboration. Also closely working/worked with researchers from Brazil, China, France, Italy, Israel, Netherlands, Singapore and USA, in addition to those from the home department, the Dept of Engineering and other UK universities and industry. Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 75/77
  • 76. Future research topics Renewable Energy: • Wind power • Solar power • Other energy sources Control Theory Power Electronics: & Engineering • Grid-connected inverters • Inverter-dominated power systems • DC drives and AC drives • Applications in power systems etc Enabling Control Theory: • Robust H∝ control • Time-delay systems • Grid monitoring, control and stability Industrial collaboration to consolidate research Theoretical research to deepen the depth of research Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 76/77
  • 77. Vision Closely working with colleagues, to develop the team into an international key player in research and teach- ing in control, power electronics and renewable en- ergy, with long-term collaborations with industrial partners and world-leading research groups. Breadth of research: focusing on control theory, power electronics and renewable energy; developing activities in automotive electronics and process control. Depth of research: Looking for fundamental prob- lems; providing significant/simple solutions. Q.-C. Z HONG : A N OVERVIEW OF ACTIVITIES IN C ONTROL T HEORY & E NGINEERING – p. 77/77