Вибір виду кореляційної функції для моделювання випадкового процесу зміни струму різкозмінного нелінійного навантаження

Abstract

The influence of the type of correlation function used for a random process simulation of a non-linear load current as the amplitude-modulated oscillation with a random law of variation of the amplitude and initial phase on the electromagnetic indices of the electrical network was studied using the example of an electric steel-melting furnace. Conclusions about possibility of using any of the three considered types of correlation functions (exponential, exponential-cosine or exponential-cosine-sine) in the case of simulating a random process of rapid-changing load current when studying issues related to the phenomenon of heating of conductors by non-sinusoidal currents and evaluation of electromagnetic compatibility parameters. It is shown that in the study of processes associated with heating of conductors and current-carrying parts of electrical equipment in electric networks with rapid-chaneging non-linear loads, it is possible to replace one type of correlation function of a modulating random process with another, provided that the areas under the interchangeable correlation functions are equal; when solving problems related to reactive power compensation, only an exponential-cosine-sine correlation function should be used to simulate a random process, providing the condition of differentiability of the modulating random process. All conclusions obtained on the example of the random process simulation of the rapid-changing load current during the operation of an electric steel arc furnace are applied to the simulation of random processes during the operation of any other types of rapid-changing non-linear loads.