Abstract:
The methods to analyzing and calculating stator slot leakage reactances,harmonic leakage reactances and end-winding leakage reactances with respect to fundamental frequency and 3-order harmonic frequency,respectively,are provided,which aims to obtain stator leakage reactance parameters of the fundamental equivalent circuit and 3-order harmonic equivalent circuit for a fifteen-phase induction motor with non-sinusoidal supply. The fundamental stator slot leakage reactance and 3-order harmonic stator slot leakage reactance are derived by means of slot specific permeance expressions. Considering different magneto-motive forces (MMFs) produced by fundamental currents and 3-order harmonic currents of the fifteen-phase stator winding,corresponding harmonic leakage reactances are got from their harmonic specific permeances. With air-gap currents and image currents adopted,a numerical method is performed to yield end-winding inductances between two coils,on which the calculation for fundamental stator end-winding leakage reactance and 3-order harmonic stator end-winding leakage reactance are based. The analysis and calculation results indicate that 3-order harmonic stator slot leakage reactance is treble the fundamental one for the full-pitch concentrated stator winding; however,the numerical ratio relation is not applicable to stator harmonic leakage reactances and end-winding leakage reactances. The locked-rotor test for a sampled fifteen-phase induction motor is made to get the short-circuit reactance. The measured short-circuit reactance is in good agreement with the calculatedone,which verifies the validity of the proposed methods are verified.