Analytical calculation of permanent-magnet synchronous machines using saturation-dependent poleform coefficients

Accurate inductance calculation of permanent-magnet synchronous machines is an important topic, since the inductances determine a large part of the machine behaviour. As the inductances and the permanent flux are saturation-dependent, their analytical calculation pose a challenge. Saturation-dependent poleform coefficients are in common use for calculating the magnetic circuit of salient-pole synchronous machines. In this paper, an analytical calculation of permanent-magnet synchronous machines is proposed using saturation-dependent poleform coefficients for the inductances L_d and L_q and the permanent flux ψ_m. The poleform coefficients are determined using Finite Element Software. Cross Saturation between d- and q-axis can also be taken into consideration.