Analysis of a Three Phase Induction Motor Directly from Maxwell's Equations

TL;DR

This paper derives the torque of a three-phase induction motor directly from Maxwell's equations, linking electromagnetic theory with motor performance without circuit details.

Contribution

It introduces a method to calculate motor torque using Maxwell's equations based on geometrical parameters, bypassing circuit-based models.

Findings

Torque expressed in terms of geometrical parameters

Estimation of torque without circuit details

Theoretical foundation for motor analysis

Abstract

The torque developed in a three phase AC squirrel cage motor is usually expressed in terms of resistances and reactances of the stator, the rotor, and the motor as a whole. We use Maxwell's equations to find the torque in terms of geometrical parameters. This allows us to estimate the torque developed by a motor without knowing the details of its circuitry.