Acceleration of exit to steady-state mode when modeling semiconductor converters

Abstract

The purpose of the article is to develop a method and algorithm for the accelerated calculation of steady states of thyristor converters using computer models of converters based on the use of the theory of difference equations in the form of recurrent linear relationships for state variables on the boundaries of the converter periods. Methodology. The article is devoted to the solution of the problem of reducing the cost of computer time to achieve the steady state of the thyristor converter. For this, it is proposed to use difference equations, for which the values of the state variables at the limits of the periods of the converter's operation are taken as variables. These values are accumulated during the initial periods of the transient process of the converter, after which the coefficients of the difference equations are calculated, and the following limit values of the state variables are found using the defined difference equations. A program in the algorithmic language of the MATLAB system is presented, which implements the proposed method and algorithm compatible with the visual model of the converter. Results. The theoretical foundations of the proposed method and the area of its applicability are substantiated. Recommendations are presented for determining the number of periods of the flow process that must be calculated for further implementation of the method. An algorithm for forming matrix relations for determining the coefficients of difference equations with respect to the values of state variables at the boundaries of periods is shown. Matrix equations are given that allow calculating the parameters of the steady state. All stages of the algorithm are illustrated with numerical examples. Originality. The method rationally combines all the advantages of visual modeling based on the numerical integration of equations using the method of state variables for the periods of operation of the converter with the analytical solution of the recurrence relations obtained on this basis for the values of state variables at the boundaries of adjacent periods. Practical value. The proposed method makes it possible to reduce by several orders of magnitude the computer time spent on calculating the parameters of the steady-state mode of the converter and, at the same time, to significantly improve the accuracy of these calculations. The practical application of the method is very effective in research and design of thyristor converters of electrical energy parameters.

Стаття присвячена вирішенню проблеми зменшення витрат комп’ютерного часу для досягнення усталеного режиму тиристорного перетворювача. Для цього запропоновано використати різницеві рівняння, для яких в якості змінних приймаються значення змінних стану на межах періодів роботи перетворювача. Ці значення накопичуються на початкових періодах перехідного процесу перетворювача, після чого вираховуються коефіцієнти різницевих рівнянь, і наступні межові значення змінних стану знаходяться з використанням визначених різницевих рівнянь. Представлена програма на алгоритмічній мові системи MATLAB, яка реалізує запропоновані метод і алгоритм сумісно з візуальною моделлю перетворювача.