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An Integrated Methodology to Assess AC Losses in the kHz Range Using the FEM and Partial Element Equivalent Circuit

Gabriel dos Santos, Bárbara Maria Oliveira Santos, Flávio Goulart dos Reis Martins, Felipe Sass, Guilherme Gonçalves Sotelo, R. de Andrade

2021IEEE Transactions on Applied Superconductivity19 citationsDOI

Abstract

This article proposes a new approach using the T-A formulation coupled to lumped parameters in the electrical circuit, considering the skin-depth approach. The finite-element method models the superconducting layer, the electrical circuit models the stabilizer and substrate layers as lumped parameters, and a coupling engine links both of them. The ac losses have been calculated by both T-A 1-D and T-A 2-D formulations: the first one uses the approach proposed in this article, and the second, two current vector potential components. For the three formulations, we have studied the average power dissipation as a function of frequency and current, and the peak current as a function of the frequency. We have compared the T-A 1-D and T-A 2-D formulations to H formulation results previously studied. Comparing the results of the average power dissipation, we have found the maximum error to be around 10.5% in T-A 1-D and 35% found in T-A 2-D. The efficiency of the proposed technique was evaluated as 16 times less costly when compared to the T-A 2-D formulation.

Topics & Concepts

Finite element methodDissipationCoupling (piping)Equivalent circuitSuperconductivityRange (aeronautics)Power (physics)Materials scienceCurrent (fluid)Function (biology)PhysicsMechanicsTopology (electrical circuits)Mathematical analysisMathematicsElectrical engineeringVoltageThermodynamicsCondensed matter physicsComposite materialEngineeringQuantum mechanicsEvolutionary biologyBiologySilicon Carbide Semiconductor TechnologiesMagnetic Properties and ApplicationsPhysics of Superconductivity and Magnetism