Parallel-in-Space-and-Time Finite-Element Method for Time-Periodic Magnetic Field Problems With Hysteresis

This study investigates a parallel-in-space-and-time finite-element method (PinSTFEM) in time-periodic magnetic field analyses that take magnetic hysteresis into account. The developed PinSTFEM is obtained from a combination of the domain decomposition method (DDM) and parallel time-periodic explicit-error-correction (PTP-EEC) method. In addition, the magnetization history of each element is corrected appropriately based on time-series data for flux density vectors within the framework of the PTP-EEC method. The parallel performance of the developed PinSTFEM is verified by the 3-D magnetic field analyses of a ring core specimen and a practical interior permanent magnet synchronous motor (IPMSM) fed by a pulsewidth modulation (PWM) inverter.