Abstract

Calculation of magnetic vector potential A is fundamental in the partial element equivalent circuit method, which directly affects the value of inductive part, called partial inductance. All of the existing methods for partial inductance are based on Lorenz gauge. This paper presents an analytical method for calculation of partial inductance with Coulomb gauge in quasi-static field. The difference lays on the calculation of A, which has an obvious impact in open loop problems. Some analytical results of conductor segments are derived for comparison of two different gauges, and show the difference between the proposed method and existing methods. Numerical experiments of the self- and mutual-partial inductances of conductor segments in open loop problems are also given. The results illustrate that the proposed method is consistent with the energy method, whereas the existing method gives different values, especially for short conductor segments whose difference might reach 50%. The proposed method may also be applied to closed loop problems and give same results with existing method.

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