Iterative Solution of Maxwell's Equations for an Induction Motor

TL;DR

This paper presents an iterative method to solve Maxwell's equations for a three-phase induction motor, deriving performance equations based solely on geometrical parameters to optimize motor operation.

Contribution

It introduces an iterative approach to evaluate key parameters of an induction motor directly from Maxwell's equations, linking electromagnetic theory with practical motor performance.

Findings

Derived explicit expressions for excitation frequency and voltage.

Validated the iterative method for different motor geometries.

Provided a way to optimize motor performance based on physical parameters.

Abstract

In this work we use classical electromagnetism to analyse a three-phase induction motor. We first cast the motor as a boundary value problem involving two phenomenological time-constants. These are derived from the widely used equivalent circuit model of the induction motor. We then use an iterative procedure to evaluate these constants and obtain the motor performance equations. Our results depend only on the geometrical parameters of the motor and can be used to derive precise expressions for the excitation frequency and applied voltage needed to extract maximum performance from a given motor at any rotation speed.