In this paper, an indirect analytical method is presented to analyze and optimize the electromagnetic performances, such as air-gap flux density, back EMF, cogging torque, and etc. of the V-shaped interior permanent magnet (PM) synchronous machine (IPMSM). The new method provides an indirect calculation model of the V-shaped IPMSM, by transferring the rotor into an equivalent linear one in the polar coordinate system. Based on the reconstruction of the V shaped PM, two part of magnetization calculation models are established, and the magnetic field distribution of the motor is analyzed by utilizing the magnetic scalar potential. The Maxwell stress tensor method with Schwarz-Christoffel (SC) transformation is subsequently utilized to analyze the magnetic field in detail and predict the cogging torque performances of the V-shaped IPMSM accurately. The results are compared with that obtained by the finite element analysis (FEA) method. Moreover, a prototype is built and tested, and the results validate the accuracy and validity of the analytical computation results.INDEX TERMS Analytical method, interior permanent magnet synchronous machine (IPMSM), V-shaped, equivalent permanent magnet, Schwarz-Christoffel transformation, Maxwell stress tensor.

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