Mathematical model for electromagnetic processes analysis in semiconductor converters

The article considers a mathematical model used to calculate the instantaneous, average, average-nonquadratic values, electrical energy conversion quality indicators as well as to analyze the electromagnetic processes in semiconductor converters. The mathematical model is implemented with a spectral method based on switching functions. The method of switching functions is most suitable for the systems, in which the switching frequency is comparable to the output voltage frequency. It is due to this that the development of AC voltage regulators mathematical models appears promising. It should be noted that AC voltage regulators are widely used in chemical industry, municipal heat and water supply, mining and metallurgical electrical equipment, as well as soft starters for asynchronous machines. However, the existing methods of these regulators calculatuion are usually complicated and in some cases it is extremely difficult to conduct calculations and in different operating modes. The developed mathematical model allowed considering and analyzing various modes of AC voltage regulators operation. In addition, the spectral composition of the regulator with parallel-series thyristors connection and a multi-zone AC voltage regulator currents and voltages were estimated. The results of the mathematical modeling were verified by means of imitation modeling.