Hybrid Modeling for Permanent-Magnet Synchronous Machines: Exact Analytical Method and Magnetic Equivalent Circuit

The main goal of this study is to provide a hybrid analytical model proposed for permanent magnet synchronous machine in a two-dimensional framework, applicable under no-load and armature reaction current conditions. The model presented in this work combines a two-dimensional exact subdomain approach with a magnetic equivalent circuit (MEC) to precisely compute the magnetic field distribution across all components of the machine being studied. To achieve precise solutions, the two approaches are coupled bidirectionally in r- and θ-direction. The validation through finite element analysis (FEA) further confirms the excellent performance and reliability of the proposed technique.