An Interpolation Based Meshed Magnetic Equivalent Circuit for Interior Permanent Magnet Synchronous Machines

Abstract

This article proposes a new modeling approach for V-shaped interior permanent magnet synchronous motors (IPMSMs) using Lagrange interpolation in mesh-based magnetic equivalent circuits (MECs). The method divides each MEC block in the air gap into several child angles, interpolating flux densities and scalar potentials to ensure smooth induced voltages and torque waveforms. The article introduces a new meshed magnetic equivalent (M-MEC) circuit model, which can be used for IPMSMs of any shape. The M-MEC model achieves an error of less than 5% for all electromagnetic parameters and is 13 times faster than finite element models. This innovative technique is suitable for various applications requiring accurate electromagnetic parameter predictions for different geometry and loading conditions compared to traditional MEC models.