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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
-
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