Mathematical modeling of electric power processes in integrated test benches with dc machines operating on the principle of mutual load

Abstract

The subject of the study is electric power processes in integrated test benches with DC machines and induction machines operating on the principle of mutual loading. The purpose of the study is to obtain a mathematical model that allows us to study the operation of DC machines under specified conditions. Methods of mathematical modeling, well-known mathematical models of elements of two-link frequency converters, numerical methods for solving differential equations systems using the Runge-Kutta method of the fourth order of accuracy implemented in the Mathcad computer algebra system are used for the study. Mathematical modeling takes into account the nonlinearity of the magnetization curve of the magnetic circuits of electric machines and the pulsations of constant voltage supplied to their windings caused by the operation of converters. As a result of the study, mathematical models of electric power processes in test benches were obtained, which allow calculating currents in all branches of the considered electrical circuits, electromagnetic moments and the rotation frequency of the common shaft. The developed mathematical models can be applied in the design of integrated stands for testing DC machines and asynchronous machines by the method of mutual loading.