A New Loop-Based Hybrid Analytical Modeling Formulation and the Selection of Its Nonlinear Solver

This article presents a comprehensive comparative study between two nonlinear solvers for the hybrid analytical modeling (HAM) formulation. The Newton-Raphson method (NRM) and fixed-point (FPM) are compared in terms of their convergence rate, computational time, accuracy. A new HAM formulation using loop-based magnetic equivalent circuit (MEC) instead node-based one is proposed to improve condition number. coupled with both NRM FPM perform magnetostatic analysis 12/10 variable flux reluctance machine (VFRM) under local saturation. It shown that methods can achieve various saturation levels, mesh, harmonic refinements. However, exhibits 0.4 larger rate than NRM. also observed accuracy decreases deep saturation, number required iterations increases model refinement. able converge all analyzed refinements less six iterations.