Coupled Electromagnetic-Thermal Model of a Superconducting … · 2019. 12. 23. · Superconducting...
Transcript of Coupled Electromagnetic-Thermal Model of a Superconducting … · 2019. 12. 23. · Superconducting...
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Coupled Electromagnetic-Thermal Model of a Superconducting Motor
Coupled Electromagnetic-Thermal Model of aSuperconducting Motor
Lukasz Tomkow1,a
Vicente Climente-Alarcon1, Anis Smara1, Bartek A.Glowacki1,2,3
1Applied Superconductivity and Cryoscience Group, Department of MaterialsScience and Metallurgy, University of Cambridge, Cambridge, CB3 0FS,
United Kingdom2Institute of Power Engineering, Warsaw 02-981, Poland
3 Epoch Wires Ltd. Cambridge CB22 6SA, UKae-mail: [email protected]
COMSOL Conference 2019Cambridge
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Coupled Electromagnetic-Thermal Model of a Superconducting Motor
Contents
1 Introduction
2 Methods
3 Results
4 Conclusions
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Coupled Electromagnetic-Thermal Model of a Superconducting Motor
Introduction
Contents
1 Introduction
2 Methods
3 Results
4 Conclusions
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Coupled Electromagnetic-Thermal Model of a Superconducting Motor
Introduction
Background
Construction of a fully superconductingmotorRotor with magnetised stacks of HTS tapeCooling with hydrogen to 20KDemagnetisation issues and need formagnetic shieldingAnisotropic heat transfer properties
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Coupled Electromagnetic-Thermal Model of a Superconducting Motor
Introduction
Introduction
GoalsDesign of efficient stacks to serve as trapped field magnets in therotorFind the maximum magnetic flux that can be trappedTackle the issue of demagnetisation to prolong the operation time ofthe motorOptimise heat removal to maintain temperature below critical
MethodsCoupled thermo-electromagnetic modelApplication of A-formulation and H-formulation in a single model todecrease time of computationsConsideration of material parameters
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Coupled Electromagnetic-Thermal Model of a Superconducting Motor
Methods
Contents
1 Introduction
2 Methods
3 Results
4 Conclusions
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Coupled Electromagnetic-Thermal Model of a Superconducting Motor
Methods
Geometry of the model
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Coupled Electromagnetic-Thermal Model of a Superconducting Motor
Methods
Mesh
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Coupled Electromagnetic-Thermal Model of a Superconducting Motor
Methods
Numerical method
H-formulation∂Hx∂t +
∂Hy∂t +
∂∂x (Ez(Jz))−
∂∂y (Ez(Jz)) = 0
Electric field
Ez =
{E0(|Jz |−Jc
Jc
)nJz|Jz | when |Jz | ≥ Jc
0 when |Jz | < Jc
Current density
Jz = ∂Hx∂y −∂Hy∂x
H - magnetic fieldJ - current densityJc - critical currentdensityn - exponent ofpower law, assumedas 31 [1]x , y , z - geometricalaxesE0 - electric fieldthreshold
1Kvitkovic et al., 2018
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Coupled Electromagnetic-Thermal Model of a Superconducting Motor
Methods
Critical current density
Critical cu
rrent
of a sin
gle tape
,A
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Coupled Electromagnetic-Thermal Model of a Superconducting Motor
Results
Contents
1 Introduction
2 Methods
3 Results
4 Conclusions
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Coupled Electromagnetic-Thermal Model of a Superconducting Motor
Results
Magnetisation
Magnetic induction in T and magnetic vector potential in Wb/m
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Coupled Electromagnetic-Thermal Model of a Superconducting Motor
Results
Current density
Current density in A/m2
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Coupled Electromagnetic-Thermal Model of a Superconducting Motor
Results
Operation
Voltage response of a coil in V
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Coupled Electromagnetic-Thermal Model of a Superconducting Motor
Results
Anisotropic heat transfer in optimised configuration
Temperature and heat transfer direction in a section of aconduction-cooled rotor
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Coupled Electromagnetic-Thermal Model of a Superconducting Motor
Conclusions
Contents
1 Introduction
2 Methods
3 Results
4 Conclusions
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Coupled Electromagnetic-Thermal Model of a Superconducting Motor
Conclusions
Conclusions
The shape of stacks is selected and they will bemanufactured soonFurther thermal analysis will be performed to find optimalmounting methodResearch on protection against demagnetisation isongoingThe results from the operation of a demonstrator motor willbe available in 1Q 2020
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Coupled Electromagnetic-Thermal Model of a Superconducting Motor
Conclusions
Acknowledgements
This research is financially supported partially by the EuropeanUnion’s Horizon 2020 research innovation programme undergrant agreement No. 7231119 (ASuMED "AdvancedSuperconducting Motor Experimental Demonstrator") and alsoby EPSRC grant No. EP/P000738/1 entitled "Development ofsuperconducting composite permanent magnets forsynchronous motors: an enabling technology for future electricaircraft".
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Coupled Electromagnetic-Thermal Model of a Superconducting Motor
Conclusions
Conclusions
The shape of stacks is selected and they will bemanufactured soonFurther thermal analysis will be performed to find optimalmounting methodResearch on protection against demagnetisation isongoingThe results from the operation of a demonstrator motor willbe available in 1Q 2020
IntroductionMethodsResultsConclusions