Anisotropic Vector Play Model Incorporating Decomposed Shape Functions

Abstract

We propose an accurate anisotropic vector play model that uses the decomposition of vector shape functions. The parallel and perpendicular components of the magnetic field ${H}$ to the magnetic flux density ${B}$ are independently identified in constructing the decomposed shape functions. We further propose a method to reconstruct the perpendicular component from the 1-D measurement of the parallel component based on a magnetic energy approach. This method accurately reconstructs the vector hysteretic properties of silicon steel under alternating and rotating magnetic flux conditions.