Abstract
The paper presents the improvement of the method for the analysis of energy processes in electric circuits with semiconductor converters by means of a commutation function. The improvement has been achieved due to the realization of the frequency domain with the use of the discrete convolution algorithm. The proposed method has been verified taking an electric circuit with a sinusoidal-power controlled key voltage regulator with active-inductive load as an example. The correction of the analytical expressions of the commutation function, voltage, current and power, determined in the frequency domain, has been verified by comparison of the curves plotted on the basis of the obtained analytical expressions and the curves plotted by means of the inverse Fourier transform of the results of electric signals operations in the frequency domain. It has been demonstrated that this method makes it possible to simplify the analytical calculation and achieve its automation and obtain the predicted result.
Highlights
The problem of research of the processes taking place in circuits with semiconductor converters, being elements with explicit nonlinearity, is still topical nowadays [1,2,3,4,5]
The basic issues that researchers face during the analysis of such systems include the following ones: identification of the regularities and improvement of the efficiency of energy conversion [1,2,3], determination of the nature of reactive power occurrence [5], development of efficient methods for the current calculation [6, 7]
– a numerical solution is partial, one of many solutions, which prevents a generalized analysis of the process or the system [13, 14];
Summary
The problem of research of the processes taking place in circuits with semiconductor converters, being elements with explicit nonlinearity, is still topical nowadays [1,2,3,4,5]. Analytical methods have significant advantages in comparison with numerical methods They enable one to single out a generalized algorithm of the analysis of nonlinear electric circuits, to perform a high-quality analysis and provide an adequate assessment of the processes in nonlinear electric circuits, to estimate the influence of all factors in the system operation, their contribution and significance [5, 7, 15, 17]. Today it is topical to work out an efficient and practically simple analytical method that will provide sufficient accuracy of calculation, will be well adapted to automation of numerical and analytical calculations, and will make it possible to perform the analysis of the mechanisms of generation of current and voltage components
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