A New Hybrid Analytical Model Based on Winding Function Theory for Analysis of Unbalanced Two-Phase Induction Motors

Abstract

The purpose of this paper is to present a new hybrid analytical model (HAM) based on winding function theory (WFT) for electromagnetic analysis of performance of one typical unbalanced two-phase induction motor (UTPIM). Different indexes of electromagnetic modeling such as winding distribution, slotting effect, and magnetic saturation can be accurately considered by using the proposed HAM. For obtaining this new hybrid technique, WFT is reformulated for considering the magnetic saturation in addition to the influence of slotting and winding distribution. The conformal mappings (CMs) are used to accurately calculate the slotted air-gap length. The magnetic equivalent circuit (MEC) model is used to consider the magnetomotive force (MMF) drop in stator and rotor cores due to the excitation of one phase-winding.The obtained results of CMs and MEC are then utilized in reformulated WFT to calculate the inductances of respective phase-winding. Transient analysis is then done to calculate the indexes of performance such as air-gap magnetic field, phase currents, electromagnetic torque, and rotor speed by using the lookup table of inductances while considering different capacitors in auxiliary phase. In each step, the accuracy of analytical results is confirmed by comparing with corresponding results obtained from finite element method (FEM).

Modified magnetic equivalent circuit model for magnetic field analysis of one cage‐rotor induction motor used in electric submersible pumps

“…Multi-slice MEC model was used to quasi-3D model of one outer-rotor singlephase induction motor while considering the skewing effect of rotor slots [13]. In many HAMs based on CM method [14][15][16][17] and winding function theory [18][19][20], MEC model has been used to accurately consider the iron parts.…”