The doctoral dissertations of the former Helsinki University of Technology (TKK) and Aalto University Schools of Technology (CHEM, ELEC, ENG, SCI) published in electronic format are available in the electronic publications archive of Aalto University - Aaltodoc.
Aalto

Analysis of Induction Motors Based on the Numerical Solution of the Magnetic Field and Circuit Equations

Antero Arkkio

Thesis for the degree of Doctor of Technology to be presented with due permission for public examination and criticism in Auditorium S4 at Helsinki University of Technology, Otaniemi, Finland, on the 18th of December, 1987, at 12 o'clock noon.

Dissertation in PDF format (ISBN 951-22-6076-X)   [6059 KB]
Dissertation is also available in print (ISBN 951-666-250-1)

Abstract

A method for the analysis of induction motors is presented. The analysis is based on the combined solution of the magnetic field equations and the circuit equations of the windings. The equations are discretized by the finite element method. The magnetic field is assumed to be two-dimensional. The three-dimensional features i.e. the skew of the rotor slots and the end-region fields are taken into account within the two-dimensional formulation. The general time-dependence of the field and the motion of the rotor are modelled correctly in a step-by-step solution. The amount of computation is reduced significantly if the time-dependence is assumed to be sinusoidal and phasor quantities are used in the solution.

The method is applied to the calculation of a cage rotor motor and of a solid rotor motor. The sinusoidal approximation gives good results in the computation of steady-state locked-rotor quantities, but it does not model the motion of the rotor properly. The step-by-step method is used for computing machine quantities in steady and transient states. For instance the operation of the solid rotor motor supplied by a static frequency converter is simulated. The results obtained by the method agree well with the measured ones.

Keywords: induction motors, finite element analysis

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© 2002 Helsinki University of Technology

Last update 2011-05-26