Моделювання електричних перехідних процесів у частотнокерованому асинхронному двигуні

Abstract

UA: У статті розглянуто математичну модель електричних перехідних процесів в топологічних елементах кола частотно-керованого асинхронного двигуна та статичного трифазного перетворювача частоти, яка враховує поточну конфігурацію комутуючих перемикачів. У вигляді сукупності операторних виразів сформовано та розв’язано систему операторних рівнянь відносно шуканих струмів і напруг. Відповідні розрахунки запропонованої моделі проведено у програмі MathCAD 15.

EN: The time dependences of currents and voltages in circuits with complex switching of three-phase frequency converters with pulse-width modulation for traction rolling stock of railway transport are due to many factors. The main of these factors is the arbitrary order of switching of many switches at the same time and the arbitrary time of the circuit in each individual switching configuration. To describe and further create devices with complex switching, it is necessary to have a sufficiently complete, flexible and acceptably simple mathematical model of electrical processes in the topological elements of the circuit. A mathematical model of electrical processes in the topological elements of a circuit in each separate switching configuration of a controlled induction motor and a static frequency converter of traction rolling stock of railway transport is proposed and substantiated. in the form of a set of operator expressions for currents and voltages of a static three-phase frequency converter for a frequency-controlled induction motor. A system of operator equations for the required currents and voltages has been formed and solved, which automatically takes into account the current configuration of switching switches. The operator description of the device provides the possibility of flexible modification of the obtained calculated ratios with relatively small changes in the initial scheme, and also provides a natural transition to the analysis of the relationships between the harmonics of the processes in the device. Relevant calculations of the proposed model were performed in MathCAD 15.