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International Journal of Modern Engineering Research (IJMER)
              www.ijmer.com         Vol.2, Issue.6, Nov-Dec. 2012 pp-4144-4148       ISSN: 2249-6645

        DC Motor Fed with Double Input Z-Source DC-DC Converter
                                 Santhosh Yamsani1, Sampath Kumar Boini2
               1, 2
                      (Department of EEE, Teegala Krishna Reddy Engineering college, JNTU- Hyd, AP, INDIA)

ABSTRACT: This paper proposes a dc motor fed with a              Output; minimum switching devices are used in this circuit.
double input dc-dc converter based on Z-source converters.       The proposed double input dc-dc converter is proper for
In the proposed converter, the input dc voltage can be
boosted and also input dc sources can deliver power to the       Renewable-energy applications and combination of two
load individually or simultaneously, so combination of a         different sources (such as battery and photovoltaic or fuel
battery with one of the new energy sources such as solar         cell)
array, wind turbine or fuel cell can be used as input
sources. Different states of double input Z-source dc-dc              II.   CIRCUIT CONFIGURATION AND
converter are analyzed, steady state operation of converter                   PRINCIPLE OF OPERATION
is explained and modeling of separately excited dc motor is         A. Z-Source Converters
explained in detail. Finally, the simulation results are                  Z-source converters are modern group of power
presented to confirm the theoretical analysis.                   electronic converters which can overcome problems with
                                                                 traditional converters. The Z-source inverter is a novel
Keywords: Z-Source converter; double input; dc-dc                topology [6] that overcomes the conceptual and theoretical
converter; dc motor.                                             barriers and limitations of the traditional voltage-source
                                                                 converter and current-source converter. The concept of Z-
                I.    INTRODUCTION                               source was used in direct ac-ac power conversion [7].
          The renewable energy such as photovoltaic (PV)         Similarly, the concept of Z-source also was extended to dc-
and wind has created various electric energy sources with        dc power conversion [8].
different electrical characteristics for the modern power
system. In order to combine more than one energy source,         B.        Circuit Configuration of Proposed Converter
such as the solar array, wind turbine, fuel cell (FC) and                  The schematic circuit diagram of the proposed dc
commercial ac line to get the regulated output voltage, the      drive fed with double-input Z-source dc-dc converter with
different topologies of multi input converters (MICs) have       two different voltage sources is shown in Fig. 1. It consists
been proposed in recent years [1]-[4].                           of two different input sources, Vdc1 and Vdc2, and four
          Traditionally, two dc voltage sources are              diodes, D1-D4, applied to provide current path in different
connected to two independent dc-dc power converters to           states. In this paper, permanent connection of input dc
obtain two stable and equivalent output voltages, which are      sources is considered, so D1 and D2 can be replaced with
then connected to the dc bus, to provide the electric energy     active switches if it’s required to connect and disconnect
demanded by the load.                                            each of sources to input side of converter frequently.
          Another approach for the double-input dc-dc            Energy receiver, converter and transmitter sections are
converter is to put two dc sources in series to form a single    situated in the middle side of the converter. This section is a
voltage source where traditional dc-dc power converters          two-port network that consists of a split-inductor L1 and L2
can be used to transfer power to the load. In order to           and capacitors C1 and C2 connected in x-shape which is
transfer power individually, each dc voltage source needs a      named “Z-network”. An active switch, S, is situated in
controllable switch to provide a bypass short circuit for        output port of Z-network to control input and output power
the input current of the other dc voltage source to deliver      of converter. The final section of converter is a LC filter
electric energy continuously [3], [4].                           beside the load in order to reject output signal ripple.
          Another approach is to put PWM converters in
parallel with or without electrical isolation using the          C.       principle Operation of Double Input DC-DC
coupled transformer [5]. Control schemes for these MICs          Converter
with paralleled dc sources are based on         time sharing              There are four different operation states with
concept because of the                                           respect to active or inactive states of dc sources. As
Clamped Voltage. Because of the voltage amplitude                previously mentioned, both of the input sources can deliver
differences between two dc sources, only one of them can         power to the load either individually or simultaneously
Be connected to the input terminal of the dc-dc converter        through the MIC. When only one of the input sources feeds
and transfer power to the load at a time [3].                    the MIC, it transfers power to the load individually and the
The objective of this paper is to propose a dc motor fed         MIC will operate as does a PWM converter. Table I
with double input dc-dc converter which has the following        summarizes the operation states of the proposed double
advantages:                                                      input dc-dc converter
          The dc sources can deliver power to the dc motor
individually or simultaneously; the multi winding
transformer is not needed; the magnitude of the input dc
Voltage can be higher or lower than the one with a
regulated


                                                      www.ijmer.com                                                4144 | Page
International Journal of Modern Engineering Research (IJMER)
               www.ijmer.com         Vol.2, Issue.6, Nov-Dec. 2012 pp-4144-4148       ISSN: 2249-6645
                                                                  conduct current to source 1. In this state, converter input dc
                                                                  voltage is only provided by source 1, as (2) shows.

                                                                                    𝑉𝑖𝑛 = 𝑉 𝑑𝑐 1                (2)




  Fig1.DC Motor fed with double input Z-source DC-DC
                       converter


                                                                    Fig3. Double input DC-DC converter state2 equivalent
                                                                                          circuit

                                                                  3) State 3, source 1 is inactive and source 2 is active
                                                                           If source 1 is eliminated for each reason and
                                                                  source 2 is active, the converter can operate normally
                                                                  without effect of source 1 elimination. Fig. 5 shows the
                                                                  equivalent circuit for this state. In state 3, it’s only source 2
                                                                  that supplies converter and load. Source2 activation causes
                                                                  forward bias of D2 and reverse bias of D4. Because of
  Fig2. Double input DC-DC converter state1 equivalent            source 1 disconnection, current passes through D3 and
                        circuit                                   indeed, current turns it on forcedly to complete current
                                                                  path. In this state, converter input dc voltage is only
1) State 1, both source 1 and source 2 are active                 provided by source 2, as (3) shows.
Fig. 2 shows equivalent circuit of this state. When both                            𝑉𝑖𝑛 = 𝑉 𝑑𝑐 2                  (3)
source1 and source 2 are active, the converter input dc
voltage is sum of voltage of two series dc sources, as Fig. 3     4) State 4, both source 1 and source 2 are inactive
and (1) illustrate.                                                         Basically, this state is only following of one of the
                    𝑉𝑖𝑛 = 𝑉 𝑑𝑐 1 + 𝑉 𝑑𝑐 2    (1)                  previously mentioned three states. Because in this state both
In this state, because both two sources are active, D1 and        dc sources are inactive and disconnected from converter,
D2 are forward biased and D3 and D4 are reverse biased.           D1
Thus, the sources current enters in Z-network through D1          And D2 are forcedly turned off and consequently, the only
and D2 and after passing load impedance, comes back into          existing path for remain current, from previous state, is
sources through negative polarity.                                provided by D3 and D4. Thereupon, in state4 D3 and D4
                                                                  are turned on. Fig. 6 shows equivalent circuit of this state.
2) State 2, source 1 is active and source 2 is inactive           Input voltage is zero in this state as shown in (4).
          The equivalent circuit of this state is shown in Fig.                      𝑉𝑖𝑛 = 0                    (4)
3. In this state, source 1 is active, so only this source          Obviously, because both dc sources disconnect from
provides converter (consequently load) energy. Because of         converter, duration of this state is very short and when
source 1 is active then D1 is forward biased and D3 is            current descends to zero, whole of converter will be
reverse biased, so current follows from D1 to Z-network to        inactive.
load.

    TABLE I. STATES OF DOUBLE INPUT DC-DC
                  CONVERTER




                                                                       Fig4. Double input DC-DC converter state3 equivalent
                                                                                           circuit
In reverse path from load to the source, current can’t pass   .
through source 2 and D2, so D4 is forcedly turned on and
                                                    www.ijmer.com                                                     4145 | Page
International Journal of Modern Engineering Research (IJMER)
                  www.ijmer.com         Vol.2, Issue.6, Nov-Dec. 2012 pp-4144-4148       ISSN: 2249-6645
                                                                   𝑉𝑐   1− 𝐷
                                                                      =                                                (11)
                                                                  𝑉𝑖𝑛 1 − 2𝐷

                                                                 Similarly, the peak output voltage of converter in a
                                                                 Switching cycle can be expressed as follows:

                                                                                        V in
                                                                  𝑉 𝐿 = 2𝑉𝑐 − 𝑉𝑖𝑛 =                                     (12)
                                                                                       1−2D

                                                                 The average output voltage can be expressed as:
                                                                             1−D
                                                                  𝑉𝑜 = 𝑉𝑐 = 1−2D Vin                                   (13)
  Fig5. Double input DC-DC converter state4 equivalent
                        circuit                                          1−D
                                                                  𝑉𝑜 =          V + Vdc 2                               14
                                                                         1 − 2D dc 1
  III.    STEADY STATE ANALYSIS OF DC
         MOTOR FED WITH DOUBLE INPUT Z-                          This output voltage is given as the input to the DC motor.
            SOURCE DC-DC CONVERTER
          All four states of double input Z-source dc-dc         Modeling of separately excited dc motor
converter can be analyzed in similar way, but in this section
only first state is analyzed which can be applied to the other                                 𝑑 𝑖 𝑎 (𝑡)
                                                                  𝑉𝑎 𝑡 = 𝑅 𝑎 𝑖 𝑎 𝑡 + 𝐿 𝑎                   + 𝑒 𝑏 (𝑡)   (15)
                                                                                                  𝑑𝑡
states. Fig. 3 is considered as converter circuit for steady
state analysis.
                                                                  𝑒 𝑏 𝑡 = 𝐾 𝑏 . 𝑤(𝑡)                                   (16)
          Similar to the other Z-source inverter/converter
topologies, Z-network of the Z-source dc-dc converter is
                                                                  𝑇𝑚 𝑡 = 𝐾𝑇 𝑖𝑎 𝑡                                 (17)
also symmetrical, that is, the inductors L1 and L2 and
                                                                                𝑑𝑤(𝑡)
capacitors C1 and C2 have the same inductance (L) and             𝑇𝑚 𝑡 = 𝐽 𝑚.           + 𝐵 𝑚. 𝑤 𝑡               (18)
capacitance (C), respectively. From the symmetry and the                           𝑑𝑡
                                                                 Where 𝑉𝑎 = armature voltage, 𝑅 𝑎 =armature resistance,
equivalent circuits, the inductor and capacitor voltages have
following relations [8]:                                          𝐿 𝑎 =armature inductance, 𝑖 𝑎 = armature current, 𝑒 𝑏 =back
VC1=VC2=VC, VL1=V V                                 (5)       emf, w (t) =angular speed, 𝑇 𝑚 =motor torque, 𝐽 𝑚 =rotor
                           L2      L
There are two modes in steady state operation of converter       inertia. 𝐵 𝑚 =viscous friction coefficient, 𝐾 𝑇 =torque constant
circuit. In mode 1 diodes D1 and D2 are turned on and the        and 𝐾 𝑏 =back emf constant.
switch S is turned off. The dc sources charge Z-network          Eventually, the transfer function between angular speed and
capacitors, while Z-network inductors discharge and              armature voltage at no load is
                                                                  𝑤 𝑠                              𝐾𝑏
transfer energy to the load. Converter operating interval in             = 2                                                19
this mode is (1-D) T, where D is duty ratio of switch S, and      𝑉 𝑠      𝑠 𝐽 𝑚 𝐿 𝑎 + 𝑠 𝐵 𝑚 𝐿 𝑎 + 𝑅 𝑎 𝐽 𝑚 + 𝐵 𝑚 𝑅 𝑎 + 𝐾𝑏2
T is switching cycle. Fig. 7 shows equivalent circuit of
mode 1. Thus in this interval the following equations are
received [8]:

𝑉𝑖𝑛 = 𝑉 𝑑𝑐 1 + 𝑉 𝑑𝑐 2                             (6)

𝑉 𝐶 = 𝑉𝑖𝑛 − 𝑉 𝐿                                  (7)

𝑉𝑜 = 𝑉𝑖𝑛 − 2𝑉 𝐿                                   (8)
                                                                                   Fig.6 Block diagram of the DC motor
In mode 2, switch S is turned on and D1 and D2 are turned
off. Z-network capacitors discharge, while inductors charge               IV.    SIMULATION RESULTS
and store energy to release and transfer to the load in the               Simulation of double input Z-source dc-dc
next interval. Converter operating interval in this state is     converter fed dc motor was performed using MATLAB
DT. Fig. 8 shows mode 2 equivalent circuit. Following            SIMULINK to confirm above analysis. Simulation consists
equation expresses this interval equivalent circuit [8]:         of four sections that each section describes each state of
 𝑉 𝐶 = 𝑉 𝐿 , 𝑉𝑜 = 0                           (9)                converter. Converter parameters in the simulation were as
                                                                 in Table II.
The average voltage of the inductors over one switching
period (T) in steady state should be zero, so (6)-(9) result:

𝑉 𝐿 =⎰ VC . DT + (Vin − VC )(1 − D)T]𝑑𝑡        (10)

Considering (10) equal to zero, results following equation:

                                                        www.ijmer.com                                                         4146 | Page
International Journal of Modern Engineering Research (IJMER)
                               www.ijmer.com         Vol.2, Issue.6, Nov-Dec. 2012 pp-4144-4148       ISSN: 2249-6645
                       TABLE II.SIMULATION PARAMETERS                                                  300


parameter                                    value                                                     250

Vdc1                                         100




                                                                                angular speed(rad/s)
                                                                                                       200
Vdc2                                         40
C1=C2                                        1000μF                                                    150

C                                            500μF                                                     100
L1=L2=L                                      0.5mH
                                                                                                        50
switching frequency                          10KHZ
duty ratio                                   30%                                                            0
                                                                                                                0
Ra                                           0.5 Ω                                                                 Fig9. Angular speed of the dc 1.5
                                                                                                                            0.5         1
                                                                                                                                     time(s)
                                                                                                                                                   motor        2


La                                           0.01 mH
 𝐽𝑚                                          0.05kg.m2                                   State 2, source 1 became inactive
 𝐵𝑚                                          0.02N.m.s                               For state 2, that source1 became inactive and
                                                                            disconnected from converter.fig.10 shows output voltage of
TL                                           10N.m
                                                                            the converter for state 2. As this figure shows output
                                                                            voltage decreased to 69V which is only source 2 stepped up
                                                                            dc voltage. Thus only source 2 supplied to converter
         Double input Z-source dc-dc converter fed dc                       independent of source 1. Simulation time, converter
motor is controlled by PWM duty cycle control. So by                        produced 69V by 30% duty cycle in boosting mode. Fig. 10
adjusting duty cycle, converter output voltage and speed of                 shows converter output voltage. Fig. 11 shows the
the dc motor are regulated. As previously mentioned, dc                     electromagnetic torque and Fig. 12 shows the angular speed
sources    can    supply converter        individually or                   of the motor. Input current passed through D2 and D3
simultaneously. In this simulation independence of dc                       because these switches were forward biased and turned on.
sources from each other is shown in four different states.                  D1 and D4 were reverse biased, thus their currents were
                                                                            zero.
  State 1, both source 1 and source 2 are active For state
                                                                                                       100
          1, that both dc sources were active during
simulation time, converter produced 244V by 30% duty                                                   80
cycle in boosting mode. Fig. 7 shows converter output
                                                                             voltage(v)




                                                                                                       60
voltage. Fig. 8 shows the electromagnetic torque and Fig. 9
shows the angular speed of the motor. Input current passed                                             40
through D1 and D2 because these switches were forward
                                                                                                       20
biased and turned on. D3 and D4 were reverse biased, thus
their currents were zero.                                                                               0
                                                                                                             0              0.5          1          1.5             2
                                                                                                                                      time(s)
                                                                                                                 Fig10.converter output voltage in state 2
                  400
                                                                                                       20
                  300
  voltage(v)




                                                                                                       15
                  200
                                                                               torque(N.m)




                  100                                                                                  10


                       0
                           0       0.5        1          1.5        2                                   5
                                           time(s)


                                                                                                        0
                                                                                                            0              0.5          1         1.5           2
Fig7. Double input DC-DC converter output voltage in state                                                                           time(s)
                          1                                                                                         Fig11.electromagnetic torque in state 2
                                                                                                       50

                      70
                                                                                                       40
                                                                               angular speed(rad/s)




                      60

                      50                                                                               30
         torque(Nm)




                      40
                                                                                                       20
                      30

                      20                                                                               10

                      10
                                                                                                        0
                      0                                                                                     0              0.5          1         1.5           2
                           0      0.5        1        1.5       2                                                                    time(s)
                                          time(s)
                                                                                                            Fig12.angular speed of the dc motor in state

     Fig8.electromagnetic torque of the dc motor in state 1
                                                       www.ijmer.com                                                                                       4147 | Page
International Journal of Modern Engineering Research (IJMER)
                                        www.ijmer.com         Vol.2, Issue.6, Nov-Dec. 2012 pp-4144-4148       ISSN: 2249-6645
    A. State 3, source 2 became inactive                                                                 V.     CONCLUSION
           Similar to the state2 , in state 3 Source 2 became                                     This paper has proposed a double input Z-source
    inactive and disconnected from converter.fig.13 shows                                converter fed dc motor.This drive has the advantages of
    output voltage of the converter for state 3. As this figure                          both dc motor and Z-source converter. The system
    shows output voltage decreased to 175V which is only                                 configuration and operation principle have been analyzed in
    source 1 stepped up dc voltage. Thus only source 1                                   detail. Based on the equivalent circuits,the mathematical
    supplied converter independent of source 2. Simulation                               model has been established. simulation results have
    time, converter produced 175V by 30% duty cycle in                                   validated the preferred features as well as the possibility of
    boosting mode. Fig. 13 shows converter output voltage.                               the proposed drive system.
    Fig. 14 shows the electromagnetic torque and Fig. 15
    shows the angular speed of the motor. Input current
    passed through D1 and D4 because these switches were                                                      REFERENCES
    forward biased and turned on. D2 and D3 were reverse
                                                                                          [1] E.Muljadi and H.E.Mckenna, “ power quality issues
    biased, thus their currents were zero.
                                                                                              in   a     hybrid    power    system,”        IEEE
                                                                                              Trans.Ind.Appl.vol.38,pp.803-809,May/ Jun 2002
                           300
                                                                                         [2]    F. Giraud and Z. M. Salameh, “Steady-state
                           250                                                                  performance of a grid connected rooftop hybrid wind-
                                                                                                photovoltaic power system with battery storage,”
                           200
                                                                                                IEEE Trans. Energy Convers., vol. 16, no. 1, pp. 1-
 voltage(v)




                           150                                                                  7,Mar 2001.

                           100
                                                                                         [3]    Yaow -Ming Chen, Yuan-Chuan Liu, and Sheng- sien
                                                                                                Lin,“ Double- Input PWM DC-DC Converter for
                            50                                                                  High-/Low-Voltage Sources,” IEEE Trans. Ind.
                                                                                                Electron., vol. 53, no. 5, October 2006.
                                0
                                    0        0.5          1          1.5             2    [4] Yuan-Chuan Liu and Yaow -Ming Chen, “A
                                                       time(s)
                                                                                              systematic approach to        synthesizing multi-input
                                    Fig13.converter output voltage in state 3                 dc–dc converters” IEEE Trans. Power         Electron.,
                           50                                                                 vol. 24, no. 1, January 2009.
                                                                                          [5] H. Matsuo, W. Lin, F. Kurokawa, T. Shigemizu, and
                           40                                                                 N.Watanabe “Characteristics ofthe multiple-input dc-
                                                                                              dc converter,” IEEE Trans. Ind.Electron., vol. 51,
torque(N.m)




                           30                                                                 no. 3, pp. 625-631, Jun 2004.
                                                                                         [6]     F. Z. Peng, “Z-Source inverter,” IEEE Trans. Ind.
                           20
                                                                                                Appl., vol. 39, no.2, pp. 504-510, March/April 2003.
                           10                                                            [7]     Xu Peng Fang, Zhao Ming Qian, and Fang Zheng
                                                                                                Peng, “ Single- phase Z-Source PWM AC-AC
                           0                                                                    Converters,” IEEE Power Electron. Lett., vol. 3, no.
                                0           0.5          1          1.5          2              4, December 2005.
                                                      time(s)
                                                                                         [8]    Xupeng Fang and Xingquan Ji, “Bidirectional Power
      Fig14.electromagnetic torque of the dc motor in state 3                                   Flow Z-Source DC-DC Converter,” IEEE Vehicle
                                                                                                Power and Propulsion Conference (VPPC), 2008,
                           200                                                                  Harbin, China
    angular speed(rad/s)




                           150
                                                                                         Biographies:
                           100
                                                                                                       Santhosh Yamsani received the B.Tech
                                                                                                       Degree in EEE from J.N.T.U- Hyderabad,
                            50
                                                                                                       in 2010.He is currently pursuing M.Tech
                                                                                                       in TKR Engineering College.
                                0
                                    0         0.5         1          1.5             2                 Sampath Kumar Boini received the
                                                       time(s)                                         B.Tech Degree in E.E.E from JNTU-
                                Fig15.angular speed of the dc motor state 3                            Hyderabad in 2005 and the M.Tech
                                                                                                       Degree from JNTU- Hyderabad in 2007.
 D. state 4: Both source 1 and source 2 became inactive                                                He is currently working as an associate-
         This state is not considered as an active operation                                           Professor in the department of EEE in
state, because both dc sources become inactive and indeed,                                             TKR Engineering College, Hyderabad.
there is not any source to supply converter and load. In
this state D1 and D2 were turned off, thereupon converter
input current path switched to D3 and D4.

                                                                                www.ijmer.com                                              4148 | Page

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DC Motor Fed with Double Input Z-Source DC-DC Converter

  • 1. International Journal of Modern Engineering Research (IJMER) www.ijmer.com Vol.2, Issue.6, Nov-Dec. 2012 pp-4144-4148 ISSN: 2249-6645 DC Motor Fed with Double Input Z-Source DC-DC Converter Santhosh Yamsani1, Sampath Kumar Boini2 1, 2 (Department of EEE, Teegala Krishna Reddy Engineering college, JNTU- Hyd, AP, INDIA) ABSTRACT: This paper proposes a dc motor fed with a Output; minimum switching devices are used in this circuit. double input dc-dc converter based on Z-source converters. The proposed double input dc-dc converter is proper for In the proposed converter, the input dc voltage can be boosted and also input dc sources can deliver power to the Renewable-energy applications and combination of two load individually or simultaneously, so combination of a different sources (such as battery and photovoltaic or fuel battery with one of the new energy sources such as solar cell) array, wind turbine or fuel cell can be used as input sources. Different states of double input Z-source dc-dc II. CIRCUIT CONFIGURATION AND converter are analyzed, steady state operation of converter PRINCIPLE OF OPERATION is explained and modeling of separately excited dc motor is A. Z-Source Converters explained in detail. Finally, the simulation results are Z-source converters are modern group of power presented to confirm the theoretical analysis. electronic converters which can overcome problems with traditional converters. The Z-source inverter is a novel Keywords: Z-Source converter; double input; dc-dc topology [6] that overcomes the conceptual and theoretical converter; dc motor. barriers and limitations of the traditional voltage-source converter and current-source converter. The concept of Z- I. INTRODUCTION source was used in direct ac-ac power conversion [7]. The renewable energy such as photovoltaic (PV) Similarly, the concept of Z-source also was extended to dc- and wind has created various electric energy sources with dc power conversion [8]. different electrical characteristics for the modern power system. In order to combine more than one energy source, B. Circuit Configuration of Proposed Converter such as the solar array, wind turbine, fuel cell (FC) and The schematic circuit diagram of the proposed dc commercial ac line to get the regulated output voltage, the drive fed with double-input Z-source dc-dc converter with different topologies of multi input converters (MICs) have two different voltage sources is shown in Fig. 1. It consists been proposed in recent years [1]-[4]. of two different input sources, Vdc1 and Vdc2, and four Traditionally, two dc voltage sources are diodes, D1-D4, applied to provide current path in different connected to two independent dc-dc power converters to states. In this paper, permanent connection of input dc obtain two stable and equivalent output voltages, which are sources is considered, so D1 and D2 can be replaced with then connected to the dc bus, to provide the electric energy active switches if it’s required to connect and disconnect demanded by the load. each of sources to input side of converter frequently. Another approach for the double-input dc-dc Energy receiver, converter and transmitter sections are converter is to put two dc sources in series to form a single situated in the middle side of the converter. This section is a voltage source where traditional dc-dc power converters two-port network that consists of a split-inductor L1 and L2 can be used to transfer power to the load. In order to and capacitors C1 and C2 connected in x-shape which is transfer power individually, each dc voltage source needs a named “Z-network”. An active switch, S, is situated in controllable switch to provide a bypass short circuit for output port of Z-network to control input and output power the input current of the other dc voltage source to deliver of converter. The final section of converter is a LC filter electric energy continuously [3], [4]. beside the load in order to reject output signal ripple. Another approach is to put PWM converters in parallel with or without electrical isolation using the C. principle Operation of Double Input DC-DC coupled transformer [5]. Control schemes for these MICs Converter with paralleled dc sources are based on time sharing There are four different operation states with concept because of the respect to active or inactive states of dc sources. As Clamped Voltage. Because of the voltage amplitude previously mentioned, both of the input sources can deliver differences between two dc sources, only one of them can power to the load either individually or simultaneously Be connected to the input terminal of the dc-dc converter through the MIC. When only one of the input sources feeds and transfer power to the load at a time [3]. the MIC, it transfers power to the load individually and the The objective of this paper is to propose a dc motor fed MIC will operate as does a PWM converter. Table I with double input dc-dc converter which has the following summarizes the operation states of the proposed double advantages: input dc-dc converter The dc sources can deliver power to the dc motor individually or simultaneously; the multi winding transformer is not needed; the magnitude of the input dc Voltage can be higher or lower than the one with a regulated www.ijmer.com 4144 | Page
  • 2. International Journal of Modern Engineering Research (IJMER) www.ijmer.com Vol.2, Issue.6, Nov-Dec. 2012 pp-4144-4148 ISSN: 2249-6645 conduct current to source 1. In this state, converter input dc voltage is only provided by source 1, as (2) shows. 𝑉𝑖𝑛 = 𝑉 𝑑𝑐 1 (2) Fig1.DC Motor fed with double input Z-source DC-DC converter Fig3. Double input DC-DC converter state2 equivalent circuit 3) State 3, source 1 is inactive and source 2 is active If source 1 is eliminated for each reason and source 2 is active, the converter can operate normally without effect of source 1 elimination. Fig. 5 shows the equivalent circuit for this state. In state 3, it’s only source 2 that supplies converter and load. Source2 activation causes forward bias of D2 and reverse bias of D4. Because of Fig2. Double input DC-DC converter state1 equivalent source 1 disconnection, current passes through D3 and circuit indeed, current turns it on forcedly to complete current path. In this state, converter input dc voltage is only 1) State 1, both source 1 and source 2 are active provided by source 2, as (3) shows. Fig. 2 shows equivalent circuit of this state. When both 𝑉𝑖𝑛 = 𝑉 𝑑𝑐 2 (3) source1 and source 2 are active, the converter input dc voltage is sum of voltage of two series dc sources, as Fig. 3 4) State 4, both source 1 and source 2 are inactive and (1) illustrate. Basically, this state is only following of one of the 𝑉𝑖𝑛 = 𝑉 𝑑𝑐 1 + 𝑉 𝑑𝑐 2 (1) previously mentioned three states. Because in this state both In this state, because both two sources are active, D1 and dc sources are inactive and disconnected from converter, D2 are forward biased and D3 and D4 are reverse biased. D1 Thus, the sources current enters in Z-network through D1 And D2 are forcedly turned off and consequently, the only and D2 and after passing load impedance, comes back into existing path for remain current, from previous state, is sources through negative polarity. provided by D3 and D4. Thereupon, in state4 D3 and D4 are turned on. Fig. 6 shows equivalent circuit of this state. 2) State 2, source 1 is active and source 2 is inactive Input voltage is zero in this state as shown in (4). The equivalent circuit of this state is shown in Fig. 𝑉𝑖𝑛 = 0 (4) 3. In this state, source 1 is active, so only this source Obviously, because both dc sources disconnect from provides converter (consequently load) energy. Because of converter, duration of this state is very short and when source 1 is active then D1 is forward biased and D3 is current descends to zero, whole of converter will be reverse biased, so current follows from D1 to Z-network to inactive. load. TABLE I. STATES OF DOUBLE INPUT DC-DC CONVERTER Fig4. Double input DC-DC converter state3 equivalent circuit In reverse path from load to the source, current can’t pass . through source 2 and D2, so D4 is forcedly turned on and www.ijmer.com 4145 | Page
  • 3. International Journal of Modern Engineering Research (IJMER) www.ijmer.com Vol.2, Issue.6, Nov-Dec. 2012 pp-4144-4148 ISSN: 2249-6645 𝑉𝑐 1− 𝐷 = (11) 𝑉𝑖𝑛 1 − 2𝐷 Similarly, the peak output voltage of converter in a Switching cycle can be expressed as follows: V in 𝑉 𝐿 = 2𝑉𝑐 − 𝑉𝑖𝑛 = (12) 1−2D The average output voltage can be expressed as: 1−D 𝑉𝑜 = 𝑉𝑐 = 1−2D Vin (13) Fig5. Double input DC-DC converter state4 equivalent circuit 1−D 𝑉𝑜 = V + Vdc 2 14 1 − 2D dc 1 III. STEADY STATE ANALYSIS OF DC MOTOR FED WITH DOUBLE INPUT Z- This output voltage is given as the input to the DC motor. SOURCE DC-DC CONVERTER All four states of double input Z-source dc-dc Modeling of separately excited dc motor converter can be analyzed in similar way, but in this section only first state is analyzed which can be applied to the other 𝑑 𝑖 𝑎 (𝑡) 𝑉𝑎 𝑡 = 𝑅 𝑎 𝑖 𝑎 𝑡 + 𝐿 𝑎 + 𝑒 𝑏 (𝑡) (15) 𝑑𝑡 states. Fig. 3 is considered as converter circuit for steady state analysis. 𝑒 𝑏 𝑡 = 𝐾 𝑏 . 𝑤(𝑡) (16) Similar to the other Z-source inverter/converter topologies, Z-network of the Z-source dc-dc converter is 𝑇𝑚 𝑡 = 𝐾𝑇 𝑖𝑎 𝑡 (17) also symmetrical, that is, the inductors L1 and L2 and 𝑑𝑤(𝑡) capacitors C1 and C2 have the same inductance (L) and 𝑇𝑚 𝑡 = 𝐽 𝑚. + 𝐵 𝑚. 𝑤 𝑡 (18) capacitance (C), respectively. From the symmetry and the 𝑑𝑡 Where 𝑉𝑎 = armature voltage, 𝑅 𝑎 =armature resistance, equivalent circuits, the inductor and capacitor voltages have following relations [8]: 𝐿 𝑎 =armature inductance, 𝑖 𝑎 = armature current, 𝑒 𝑏 =back VC1=VC2=VC, VL1=V V (5) emf, w (t) =angular speed, 𝑇 𝑚 =motor torque, 𝐽 𝑚 =rotor L2 L There are two modes in steady state operation of converter inertia. 𝐵 𝑚 =viscous friction coefficient, 𝐾 𝑇 =torque constant circuit. In mode 1 diodes D1 and D2 are turned on and the and 𝐾 𝑏 =back emf constant. switch S is turned off. The dc sources charge Z-network Eventually, the transfer function between angular speed and capacitors, while Z-network inductors discharge and armature voltage at no load is 𝑤 𝑠 𝐾𝑏 transfer energy to the load. Converter operating interval in = 2 19 this mode is (1-D) T, where D is duty ratio of switch S, and 𝑉 𝑠 𝑠 𝐽 𝑚 𝐿 𝑎 + 𝑠 𝐵 𝑚 𝐿 𝑎 + 𝑅 𝑎 𝐽 𝑚 + 𝐵 𝑚 𝑅 𝑎 + 𝐾𝑏2 T is switching cycle. Fig. 7 shows equivalent circuit of mode 1. Thus in this interval the following equations are received [8]: 𝑉𝑖𝑛 = 𝑉 𝑑𝑐 1 + 𝑉 𝑑𝑐 2 (6) 𝑉 𝐶 = 𝑉𝑖𝑛 − 𝑉 𝐿 (7) 𝑉𝑜 = 𝑉𝑖𝑛 − 2𝑉 𝐿 (8) Fig.6 Block diagram of the DC motor In mode 2, switch S is turned on and D1 and D2 are turned off. Z-network capacitors discharge, while inductors charge IV. SIMULATION RESULTS and store energy to release and transfer to the load in the Simulation of double input Z-source dc-dc next interval. Converter operating interval in this state is converter fed dc motor was performed using MATLAB DT. Fig. 8 shows mode 2 equivalent circuit. Following SIMULINK to confirm above analysis. Simulation consists equation expresses this interval equivalent circuit [8]: of four sections that each section describes each state of 𝑉 𝐶 = 𝑉 𝐿 , 𝑉𝑜 = 0 (9) converter. Converter parameters in the simulation were as in Table II. The average voltage of the inductors over one switching period (T) in steady state should be zero, so (6)-(9) result: 𝑉 𝐿 =⎰ VC . DT + (Vin − VC )(1 − D)T]𝑑𝑡 (10) Considering (10) equal to zero, results following equation: www.ijmer.com 4146 | Page
  • 4. International Journal of Modern Engineering Research (IJMER) www.ijmer.com Vol.2, Issue.6, Nov-Dec. 2012 pp-4144-4148 ISSN: 2249-6645 TABLE II.SIMULATION PARAMETERS 300 parameter value 250 Vdc1 100 angular speed(rad/s) 200 Vdc2 40 C1=C2 1000μF 150 C 500μF 100 L1=L2=L 0.5mH 50 switching frequency 10KHZ duty ratio 30% 0 0 Ra 0.5 Ω Fig9. Angular speed of the dc 1.5 0.5 1 time(s) motor 2 La 0.01 mH 𝐽𝑚 0.05kg.m2 State 2, source 1 became inactive 𝐵𝑚 0.02N.m.s For state 2, that source1 became inactive and disconnected from converter.fig.10 shows output voltage of TL 10N.m the converter for state 2. As this figure shows output voltage decreased to 69V which is only source 2 stepped up dc voltage. Thus only source 2 supplied to converter Double input Z-source dc-dc converter fed dc independent of source 1. Simulation time, converter motor is controlled by PWM duty cycle control. So by produced 69V by 30% duty cycle in boosting mode. Fig. 10 adjusting duty cycle, converter output voltage and speed of shows converter output voltage. Fig. 11 shows the the dc motor are regulated. As previously mentioned, dc electromagnetic torque and Fig. 12 shows the angular speed sources can supply converter individually or of the motor. Input current passed through D2 and D3 simultaneously. In this simulation independence of dc because these switches were forward biased and turned on. sources from each other is shown in four different states. D1 and D4 were reverse biased, thus their currents were zero. State 1, both source 1 and source 2 are active For state 100 1, that both dc sources were active during simulation time, converter produced 244V by 30% duty 80 cycle in boosting mode. Fig. 7 shows converter output voltage(v) 60 voltage. Fig. 8 shows the electromagnetic torque and Fig. 9 shows the angular speed of the motor. Input current passed 40 through D1 and D2 because these switches were forward 20 biased and turned on. D3 and D4 were reverse biased, thus their currents were zero. 0 0 0.5 1 1.5 2 time(s) Fig10.converter output voltage in state 2 400 20 300 voltage(v) 15 200 torque(N.m) 100 10 0 0 0.5 1 1.5 2 5 time(s) 0 0 0.5 1 1.5 2 Fig7. Double input DC-DC converter output voltage in state time(s) 1 Fig11.electromagnetic torque in state 2 50 70 40 angular speed(rad/s) 60 50 30 torque(Nm) 40 20 30 20 10 10 0 0 0 0.5 1 1.5 2 0 0.5 1 1.5 2 time(s) time(s) Fig12.angular speed of the dc motor in state Fig8.electromagnetic torque of the dc motor in state 1 www.ijmer.com 4147 | Page
  • 5. International Journal of Modern Engineering Research (IJMER) www.ijmer.com Vol.2, Issue.6, Nov-Dec. 2012 pp-4144-4148 ISSN: 2249-6645 A. State 3, source 2 became inactive V. CONCLUSION Similar to the state2 , in state 3 Source 2 became This paper has proposed a double input Z-source inactive and disconnected from converter.fig.13 shows converter fed dc motor.This drive has the advantages of output voltage of the converter for state 3. As this figure both dc motor and Z-source converter. The system shows output voltage decreased to 175V which is only configuration and operation principle have been analyzed in source 1 stepped up dc voltage. Thus only source 1 detail. Based on the equivalent circuits,the mathematical supplied converter independent of source 2. Simulation model has been established. simulation results have time, converter produced 175V by 30% duty cycle in validated the preferred features as well as the possibility of boosting mode. Fig. 13 shows converter output voltage. the proposed drive system. Fig. 14 shows the electromagnetic torque and Fig. 15 shows the angular speed of the motor. Input current passed through D1 and D4 because these switches were REFERENCES forward biased and turned on. D2 and D3 were reverse [1] E.Muljadi and H.E.Mckenna, “ power quality issues biased, thus their currents were zero. in a hybrid power system,” IEEE Trans.Ind.Appl.vol.38,pp.803-809,May/ Jun 2002 300 [2] F. Giraud and Z. M. Salameh, “Steady-state 250 performance of a grid connected rooftop hybrid wind- photovoltaic power system with battery storage,” 200 IEEE Trans. Energy Convers., vol. 16, no. 1, pp. 1- voltage(v) 150 7,Mar 2001. 100 [3] Yaow -Ming Chen, Yuan-Chuan Liu, and Sheng- sien Lin,“ Double- Input PWM DC-DC Converter for 50 High-/Low-Voltage Sources,” IEEE Trans. Ind. Electron., vol. 53, no. 5, October 2006. 0 0 0.5 1 1.5 2 [4] Yuan-Chuan Liu and Yaow -Ming Chen, “A time(s) systematic approach to synthesizing multi-input Fig13.converter output voltage in state 3 dc–dc converters” IEEE Trans. Power Electron., 50 vol. 24, no. 1, January 2009. [5] H. Matsuo, W. Lin, F. Kurokawa, T. Shigemizu, and 40 N.Watanabe “Characteristics ofthe multiple-input dc- dc converter,” IEEE Trans. Ind.Electron., vol. 51, torque(N.m) 30 no. 3, pp. 625-631, Jun 2004. [6] F. Z. Peng, “Z-Source inverter,” IEEE Trans. Ind. 20 Appl., vol. 39, no.2, pp. 504-510, March/April 2003. 10 [7] Xu Peng Fang, Zhao Ming Qian, and Fang Zheng Peng, “ Single- phase Z-Source PWM AC-AC 0 Converters,” IEEE Power Electron. Lett., vol. 3, no. 0 0.5 1 1.5 2 4, December 2005. time(s) [8] Xupeng Fang and Xingquan Ji, “Bidirectional Power Fig14.electromagnetic torque of the dc motor in state 3 Flow Z-Source DC-DC Converter,” IEEE Vehicle Power and Propulsion Conference (VPPC), 2008, 200 Harbin, China angular speed(rad/s) 150 Biographies: 100 Santhosh Yamsani received the B.Tech Degree in EEE from J.N.T.U- Hyderabad, 50 in 2010.He is currently pursuing M.Tech in TKR Engineering College. 0 0 0.5 1 1.5 2 Sampath Kumar Boini received the time(s) B.Tech Degree in E.E.E from JNTU- Fig15.angular speed of the dc motor state 3 Hyderabad in 2005 and the M.Tech Degree from JNTU- Hyderabad in 2007. D. state 4: Both source 1 and source 2 became inactive He is currently working as an associate- This state is not considered as an active operation Professor in the department of EEE in state, because both dc sources become inactive and indeed, TKR Engineering College, Hyderabad. there is not any source to supply converter and load. In this state D1 and D2 were turned off, thereupon converter input current path switched to D3 and D4. www.ijmer.com 4148 | Page