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This paper describes theoretical work about operational inductances of surface PM synchronous machines. An analytical method is presented to predict the direct- and quadrature-axis operational inductances originating from standstill test method of synchronous machine. The operational inductance L d,q (p) implies the frequency-dependent synchronous inductance L d,q (jω). Based on the principle of complex power calculated from the equivalent circuit identical to that derived from electromagnetic field equations, L d (jω) and L q (jω) are presented. In addition, the analytical model is applied to both ring magnet and arc magnet constructions. The time harmonic finite element results validate the analytical prediction.
Guo et al. (Tue,) studied this question.