Abstract
The paper presents a finite element program likely to solve the electromagnetic field problem for an induction motor with squirrel cage rotor; the program is implemented in MATLAB computing environment. The methodology used by the program is based on the harmonic steady state solution of the electromagnetic field problem method described in (1). Moreover, the electromagnetic field problem solution will determine the circuit model parameters, by which we can determine the functional parameters of the induction motor. In order to validate the proposed program, the authors compared the numerical results of the program with the analytical results obtained using formulas presented in the literature and with the experimental measurements on the test platform. The proposed program provides a computation tool for the electrical machines designers, with results close to measured values. The CPU time is reduced. Also, the program has a didactic nature and it can be used as a training basis for young engineers.
Highlights
Introduction functional performances of the machineThe main advantage of the developed program lies in the circuit model parameters direct determination, post-processing, which other professional computing environments do not allow (e.g. Cedrat FLUX2D) [2].The authors structured the paper as follows
If we consider the squirrel cage rings decomposed into portions corresponding to the rotor cage bars, the cage can be represented as a star connection, in Figure 1, where only two bars of the cage were drawn; points M and N are null points
The developed program computes the circuit model parameters of a squirrel cage induction motor using the solution of electromagnetic field problem
Summary
If we consider the squirrel cage rings decomposed into portions corresponding to the rotor cage bars, the cage can be represented as a star connection, in Figure 1, where only two bars of the cage were drawn; points M and N are null points. The proposed program is developed for the squirrel cage rotor of the induction machine which operates with constant slip It computes the harmonic steady state solution of the electromagnetic field problem, using the magnetic vector potential. The solution of electromagnetic field problem is used to obtain the circuit model parameters of the rotor, which help to determine the y bar 1. To solve the electromagnetic field problem, the magnetic circuit law (1a) is applied on a closed curve, Γ, consisting of middle segments around each network node, Figure 2, where for node 0 is obtained the equation [1]:. For the squirrel cage rotor the electromagnetic field problem is solved generally on a circular area between the inner surface of the stator Σ1 and a cylindrical surface within the shaft, Figure 3a. Where the first equation is obtained applying equation (2) in each network node, the second equation follows applying equation (3) for all conductive triangles, U is the voltage on the reported impedance of the ring (3), Ib is the current through the bar and [1]l is the unit matrix line
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