Calculating the unsaturated direct and quadrature axes magnetizing inductances of synchronous reluctance machines based on Maxwell's equations and magnetic equivalent circuit

摘要

This paper presents an analytical method to calculate the unsaturated direct (d) and quadrature (q) axis magnetizing inductance of synchronous reluctance machines (SynRMs). The d-axis magnetizing inductance is calculated by conformal mapping and solving partial differential equations of magnetic potentials, while the q-axis magnetizing inductance is solved from a magnetic equivalent circuit (MEC) model. With the d and q-axes magnetizing inductance calculated, it will be straightforward to obtain the electromagnetic torque of a SynRM. The analytical method solves much faster than finite element analysis (FEA), and yields a result that matches the FEA simulation.