Analytical Modeling of Eccentric SPM Vernier Machine

In this paper the flux density components in the eccentric slotted surface mounted PM Vernier machine are obtained analytically at on-load and no-load conditions. In the modeling process some conformal transformations, including Schwartz Christoffel and bilinear transformations are applied. In addition, the Laplace solution is used to obtain the air gap flux density of the PMs and the armature reaction. To overcome the limitations of existing conformal transformation-based models, the concept of equivalent magnetization current and the uniqueness theorem are adopted. In the provided model, the air gap flux density, the machine cogging torque and the electromagnetic torque are obtained analytically. Finally, the obtained results are compared with the results of finite element analysis.