GENERAL FIELD-HARMONIC THEORY FOR 3-PHASE, SINGLE-PHASE AND LINEAR MOTORS WITH SQUIRREL CAGE ROTOR, TAKING MULTIPLE ARMATURE REACTION AND SLOT OPENINGS INTO ACCOUNT .1. THEORY AND METHOD OF CALCULATION

The fundamental and harmonic currents of the primary and secondary part are obtained from a system of simultaneous complex equations. The self- and mutual inductances are represented by multiple Fourier series, whereby the slot openings are considered by permeance waves, obtained from homopolar and heteropolar potential distributions. The theory allows the determination of circular currents in the end rings and unipolar air-gap fields. Ordinary three-phase and single-phase motors are treated as special cases of the linear motor. Star-, delta- or parallel connection of the windings as well as the skin effect of the rotor bars are taken into account. Comparisons between calculation and measurements concerning currents, power, forces, flux density distributions and parasitic effects for three-phase, single-phase and linear motors are given in Part II.