The aim of the paper is to make and to manage the modeling of electrical machines, taking into account of several rotor positions to analyze their harmonic influence on its performances (e.g. its torque, its losses)[1] on an electrical period of the machine in a sizing process by optimization. Using the established independent meshes of the initial reluctance network (RN), the paper proposes an algorithm to deal with all the topologies corresponding to every angular position to reduce the computation time, be more accurate and to improve the solving stability. The simulation results are compared to Finite Element simulation results.