Mathematical model for salient-pole synchronous motor field-coil calculation and optimization

Abstract

To optimize the parameters of the salient-pole synchronous machine field-coil and achieve specified technical and economic characteristics, an optimization problem with restrictions, which belongs to the class of nonlinear programming problems, was solved. Mathematical model for salient-pole synchronous motor field-coil calculation and optimization, an algorithm and a computer program were created. The mathematical model for calculation and optimization of salient-pole synchronous machine field-coil provides a possibility to design a single-row field-coil winding based on known dimensions under the following restrictions: the minimum distance between the coils of adjacent poles must not be less than the permissible value, the temperature of the coil above the ambient temperature must not be greater than the maximum permissible for the chosen insulation class of the value of the coil, according to the conditions of single-row coils manufacturing, conductor cross-section area should not be greater than the permissible value, and the ratio of the width of the conductor to its height should be within certain limits, the dimensions of the conductor should correspond to standard values. The optimization criterion (objective function) is the copper consumption or cost of the coil, the consumption or cost of pole core steel, power losses in the coil, the total cost of copper and pole steel, the total costs of machine manufacturing and its operation. The choice of the optimization criterion depends on the purpose of the machine and the requirements placed on it. In this problem, each of these criteria is a function of one variable - the height of the field-coil.