Two-Dimensional Analytical Models for Cogging Torque Prediction in Interior Permanent Magnet Machine

Analytical prediction of cogging torque needs accurate flux density and relative permeance closed-form expressions. The two-dimensional (2D) air gap distribution function the 2D are currently almost always applied to surface-mounted permanent magnet (SPM) machines, instead interior (IPM) due complications from IPMs severe magnetic saturation leakage flux. To address these issues, this paper proposes a set new methods derive expressions for both permeance. As model, virtual equivalence model IPM is introduced, so that Laplace’s equation quasi-Poisson can be directly IPM. permeance, same also enables models derivation Subsequently, resulting analytical expression obtained with models. results proposed showed similar accuracy finite element analysis (FEA). In addition, as demonstrated, highly efficient tool in design process optimization, facilitating fast evaluation different factors.