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Iterative Solution of Maxwell's Equations for an Induction Motor

2012/03/24 by Shayak Bhattacharjee, Bhattacharjee, Shayak
Engineering · Physics and Astronomy · #Electric Motor Design and Analysis #FOS: Physical sciences #General Physics (physics.gen-ph) #Multilevel Inverters and Converters #Sensorless Control of Electric Motors #physics.gen-ph

paper · pdf · doi:10.48550/arxiv.1204.0237

It is a substitute of equivalent circuit method

openalex publication_date 2012/03/24 · arxiv created 2014/07/29 · arxiv updated 2014/07/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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