Indirect Analytical Modeling and Analysis of V-Shaped Interior PM Synchronous Machine

Abstract

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.

Simplified Analytical Model for Rapid Evaluation of Interior PM Traction Machines Considering Magnetic Nonlinearity

“…Thus, the relevant rotor magnetic potential waveform induced by the stator MMF could be expressed as a piecewise function rotating synchronously with the rotor and aligning with d-axis as shown in Fig. 4(a) and described in (15) where Ud_arm is the magnitude of the magnetic potential, [9]- [11]; v is the harmonic orders associated with the rotating rotor…”

“…For simplicity, r is selected as Dis/2 in the paper. Substituting (15) and (16) into (14) to obtain (17) for determining the d-axis armature-reaction airgap flux density.…”

“…Combination of EMC model and exact conformal mapping technique for calculating IPM machine open-circuit airgap field distribution was proposed in [14]. Analytical models for IPM machine considering slot effect and cogging torque was introduced in [15] and [16]. However, only analysis result as a function of phase current (q-axis) was presented in [15] and analysis result of one specific operation point was shown in [16].…”

“…Analytical models for IPM machine considering slot effect and cogging torque was introduced in [15] and [16]. However, only analysis result as a function of phase current (q-axis) was presented in [15] and analysis result of one specific operation point was shown in [16]. In [17], a high fidelity EMC model considering individual stator slot reluctances, segmented airgap reluctances, and segmented rotor reluctances was suggested.…”

Analytical modeling and study on noise characteristics of rotor eccentric SPMSM with unequal magnetic poles structure

“…In general, the calculation methods of the magnetic field are mainly divided into finite element analysis (FEA) method and analytical method [4]. For a motor with a complex structure and nonlinear material, the FEA method is often adopted to calculate the magnetic field.…”