Analytical modeling of multi-segment and multilayer interior permanent magnet machines

We present a simple lumped magnetic circuit model for interior permanent-magnet (IPM) machines with multisegment and multilayer permanent magnets. We derived analytically the air-gap field distribution, phase flux linkage and back-electromotive force (back-EMF), d-axis and q-axis inductances, and electromagnetic torque. The model accounts for the magnetic saturation and cross-saturation effects between d-and q-axes. To verify the developed models and analytical method, we adopted finite-element analysis (FEA). The presented model shows good agreement with FEA.