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

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.