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Multi-Objective design optimization of a Superconducting Fault Current Limiter
1. Zenergy Power Inc.
The superconductor energy technology company
Multi-Objective design optimization of a Superconducting Fault Current Limiter
EnginSoft International Conference 2010
Brescia, IT
22 October 2010
[1]
Franco Moriconi, SVP Engineering
Zenergy Power Inc.
franco.moriconi@zenergypower.com
2. Overview
• About Zenergy Power
• What is a Superconductive Fault Current Limiter (FCL)
• Design and Product Optimization
• The ModeFrontier Results
• Future Work
• Q&A
[2]
3. Zenergy Power – Overview
[3]
• Zenergy Power Plc
• Admitted to London AIM (ZEN.L) 2006
• Market Cap ~ £90m
• Employees 100
• Entities incorporated
• Australia 1987 (fault current limiters)
• Germany 1999 (MBH, wires, coils, magnets)
• USA 2004 (fault current limiters)
• UK 2005 (finance, investor relations)
• Intellectual Property – Over 170 patents and applications
4. Superconductors – The Quantum Leap in Electricity
Superconductors conduct electricity with no resistance – enabling 2 key properties:
- 100% energy efficiency: no electrical losses
- 100 times current carrying capability: reduction in material use
‘Superconductivity is the enabling key technology to unlock the future of clean energy -
the „optical fibres‟ of electricity‟
Dr. Jens Mueller, CEO.
[4]
Copper
Wire
Superconducting
Wire
200 A200 A
5. Zenergy Power’s Products
[5]
Sector Application End Products
Smart Grid Transmission & Distribution Fault Current Limiters
Industrial Machines Energy Efficiency Induction Heater
Renewable Power Power Generation Generators
6. [6]
Save more than 800 barrels of oil a
year with superconducting heating
Industrial Heater – World's 1st Superconductor Energy Product
"This process is a quantumn leap for the metal processing industry –
as up to 5% of the electricity of industrialised countries is consumed
in conventional induction heaters"
Dr. Fritz Brickwedde, General Secretary of the German Enviromental Fund
German Environmental prize 2009
7. Superconductor Induction Heaters: Commercial advantages
- World‟s first industrial-scale commercial superconductor product
- High-efficiency superconductor coils: 50% reduced energy consumption
- High-power superconductor coils: 25% increased productivity
- Superconducting coils: improved heating quality
- Used globally by metals producers to heat metal
Comparison: 0.5 MW heating
requirement
Copper Induction Heater HTS Induction Heater
Investment €1.2m ≥ €1.4m
Annual electricity savings 0 €50k - €300k
Productivity increase per annum 0 €200k - €2m
Efficiency levels 40% 90%
Management calculation based on performance data provided by customer “Weseralu”
[7]
8. 8
Landmark Installation: Los Angeles, March 2009
115 kV LINE
115/12kV
Transformer
BYPASS
SWITCH
12 kV AVANTI “Circuit of the Future” - Los Angeles California
First installation in U.S. electricity grid
Operated by Southern California Edison
Installed in Avanti “Circuit of the Future”
First Energized on March 9, 2009
Supported by DOE and California Energy Commission
14. 14
Inductive Fault Current Limiter
The equivalent FCL inductance is a non-linear function of the instantaneous line current,
and it may look like the graph below during a fault:
CLR
Constant
Inductance
-15.0 -10.0 -5.0 0.0 5.0 10.0 15.0
-0.0010
0.0000
0.0010
0.0020
0.0030
0.0040
0.0050
0.0060
+y
-y
-x +x
X Coordinate Y Coordinate
I_Limited L_cus
Equivalent Inductance
Instantaneous AC Current [kA]
FCL Inductance
is small at load current
FCL Inductance
Increases dramatically
during a fault
Operating Principle
15. Confidential & Proprietary | 15
23kA FAULT LEVEL
0.5 1 1.5 2 2.5 3 3.5 4
-50
-40
-30
-20
-10
0
10
20
30
40
50
TEST 77 - DOUBLE FAULT SEQUENCE - 20kA X/R=22, FCL IN
Time [sec]
LineCurrent[kA]
Phase A
Phase B
Phase C
0.5 1 1.5 2
-50
-40
-30
-20
-10
0
10
20
30
40
50
TEST 77 - 1.25s - 80 cycles FAULT - 20kA X/R=22, FCL IN
Time [sec]
LineCurrent[kA]
Phase A
Phase B
Phase C
-40000
-30000
-20000
-10000
0
10000
20000
30000
40000
50000
60000
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2
Time [s]
Current[A]
FEA - Iac No FCL
FEA - Iac With FCL
Prospective fault current = 19.2 kArms
Limited fault current = 10.26 kA (46.6% reduction)
Single phase AEP 2x1 D-core with 21mm thick tank. If' = 19.2kA. Sing;le Phase Fault Current
results.
VS = 138kV l-l Rs =34.79mΩ Xs = 4.1495Ω RLOAD = 79.5Ω X/R = 119
ACORE = 0.20m2
NAC =122 NIDC =730kAT HAC = 3.5m HCORE = 4.0m HDC = 400mm
Fault Current Waveforms
16. Confidential & Proprietary | 16
Trade-off Considerations to Meet Requirements
typermeabilirelative
lengthcoil
sectioncrosscoil
turnsACn
Inductance
AC
r
r
AC
l
A
o
l
An
L ;
2
changedensityFlux
BAndtV
t
B
Anemf
t
Φ
emf
coreAC
coreAC
B
Low Insertion
Impedance:
nac, A,
permeability
length
High Fault Current
Reduction:
nac, Acore, B
17. 17
FCL Design
Confidential and Proprietary Information
MAGNET OPTIMIZATION
HTS COIL OD 1700 mm
•Electromagnetic force in a magnet is AMPS x TURNS
•Cost of magnet is driven by Amp-turns needed and amount of cooling
•Price of conductor can be several hundreds $$ / kA-m
we need high current density to reduce cost
•For fixed current density we want to reduce conductor length (volume)
•Current Density is inversely proportional to working temperature
18. 18
multi-objective optimization
Weighted Function approach: transform the given multi-objective problem into an equivalent single-
objective problem. The solution depends on the values of the weights αi .
Multi-objective optimization problem:
i=1,…, n objectives
Sx
xg
xf
j
jk
ji
0)(
)(max
Sx
xg
xfxh
j
jk
ji
n
i
ij
0)(
)()(max
1
True Multi-objective approach: An alternative to combining metrics in a predetermined way, approach
design as the solutions defined within the n-dimensional space of the design objectives and variables.
19. 19
Pareto Frontier: definition
With conflicting objectives, the aim is to find good compromises rather than a unique solution.
So, this approach results in a set of solutions, called the “Pareto Frontier”.
In any solution contained in the Pareto Frontier, none of the objectives can be improved without
deterioration of at least one other objective.
Hence these solutions are known as “non-dominated” solutions.
Performance
C
o
s
t
Maximum Performance Solution(1)
Minimum Cost Solution (2)
Compromise Solution (3)
Non-Optimal Solution (0)
Pareto Frontier
Image courtesy of EnginSoft
21. 21
Solution
• Used modeFRONTIER®, a multi-objective optimization software
• It wraps around ANSYS, performing optimization by
• modifying the values assigned to the input variables, and
• analyzing the corresponding outputs calculated by ANSYS, using genetic
algorithms.
• For this particular problem:
• evaluated 960 Designs
• In each evaluation:
• idc kept constant at 130A
• iac 25 values : 1.25k:500:13.25kArms
• 24000 inductance calculations
• @1inductance calculation/min: 400+ hrs: 16+ days