Closed-form computation of electromagnetic fields in induction motors

Francisco De Leon, Sujit Purushothaman

Research output: Contribution to journalArticle

Abstract

A closed-form solution of the electromagnetic field equations for a three-phase squirrel-cage induction motor is presented. The analysis starts from the application of the Galilean transformation to Maxwell equations for moving media at constant speed. The induction motor is modelled as five concentric cylindrical layers representing the different construction components of the motor. By solving the Helmholtz and Laplace equations for conducting and non-conducting layers, we obtain a coupled set of Bessel and Euler equations that are solved analytically. The obtained formulas allow for the efficient calculation of important information for the designer regarding the electromagnetic fields, losses, force and torque. Parametric analyses are shown for illustration of the benefits of the closed form solution. The analytical expressions are validated against finite element simulations. Analytical expressions to compute the parameters of the equivalent circuit from the dimensions of the motor are also provided.

Original languageEnglish (US)
Pages (from-to)62-70
Number of pages9
JournalInternational Journal of Power and Energy Systems
Volume33
Issue number2
DOIs
StatePublished - 2013

Fingerprint

Induction Motor
Maxwell equations
Closed-form Solution
Induction motors
Electromagnetic fields
Electromagnetic Fields
Closed-form
Bessel's equation
Squirrel cage motors
Helmholtz equation
Equivalent Circuit
Laplace equation
Cage
Euler equations
Concentric
Finite Element Simulation
Helmholtz Equation
Laplace's equation
Maxwell's equations
Euler Equations

Keywords

  • Electromagnetic fields analysis
  • Galilean transformation
  • Induction motors
  • Motor design

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Energy Engineering and Power Technology
  • Applied Mathematics

Cite this

Closed-form computation of electromagnetic fields in induction motors. / De Leon, Francisco; Purushothaman, Sujit.

In: International Journal of Power and Energy Systems, Vol. 33, No. 2, 2013, p. 62-70.

Research output: Contribution to journalArticle

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