Abstract
The aim of the project is to develop an electromagnetic-field model of a three-phase induction motor in order to determine the flux distribution under various conditions of load, calculate certain saturation factors, predict the performance characteristics of the motor, and be able to modify the design for optimization. A mathematical model, established under certain simplifying magnetostatic assumptions, is treated as a boundary-value problem governed by nonlinear partial differential equations of the elliptic type in terms of the magnetic vector potential. A combination of different rectangular and polar grid systems is used to follow closely the contours of the steel-laminated punchings of the induction motor. The nonlinearity of ferromagnetic materials is duly taken into account. Numerical analysis consisting of iterative procedures, relaxation techniques, and difference schemes is applied for the computer-aided solution. Computer programs in fortran iv language have been developed and run successfully for the case of a 6-hp, 220-V, 3450-rpm, 60-Hz, 3-phase, 2-pole squirrel-cage induction motor. Further work is under way in order to consider the nonisotropic material properties of grain-oriented sheet steels, include the eddy-current and three-dimensional effects, and also extend the methods for the analysis of single-phase induction motors.
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