A New Modified Non-Approximative Method for Dynamic Systems Direct Calculation

Abstract

This scientific paper presents a novel modified non-approximative method for instantaneously calculating state variables in a compact form. The method provides a direct solution in the discrete time domain, allowing for the specification of state variable values at any discrete time instant without requiring knowledge of previous variable values. This approach is useful for estimating voltage and current stresses of semiconductor elements and circulating energy within power electronic circuits, which is crucial for the correct design and operation of such systems. The paper utilized the z-transform with a long repetitive period to accelerate the calculation time and applies a method to solve the Steinmetz circuit using Matlab. The paper includes detailed simulations and a comparison of time consumption using both Euler implicit and the proposed direct non-approximative methods. Theoretical and simulation results were validated using Matlab/Simulink circuit simulator, demonstrating the effectiveness and efficiency of the proposed method.

Power Components Mean Values Determination Using New Ip-Iq Method for Transients

“…But I 1,rms (k) can be determined by [8], where there are more ways to do it: -Using continuous-time filter; -Using digital filtering; -Using integral calculus; -Using a discrete Fourier transform; -Using artificial neural networks [20].…”

“…Taking into account Tabs in [8], the Fourier transform of the 𝑖 (𝑡) function can be derived (a simplified approach [8]), namely, using the time-shift rule As can be seen from the figure, the apparent power (black) is not equal to the square of the sum of the active and reactive ones (blue dashes). Let us name the difference between these power components the fictitious distortion component (purple).…”

“…However, in transient conditions, it is frequently necessary to ascertain the average value of the apparent, active, blind, and distortion power components. As a result, the study in this paper deals with the calculation of the mean value of each power component in a single step in the transient states of PEES, but it does not use Akagi's p-q theory as in [8]. Numerous studies [9][10][11][12] explain transient phenomena and Fourier analysis, particularly in power electrical and electronic systems.…”

“…Numerous studies [9][10][11][12] explain transient phenomena and Fourier analysis, particularly in power electrical and electronic systems. The Fourier transform is a helpful technique for transient solutions centered on harmonic analysis, as is made evident in [8]. However, during transient situations, power component mean values are not solved in any of ref.…”

“…Unfortunately, no one from the mentioned works [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18] solves the problem of an average value of apparent, active, blind, and distortion power components in transient states.…”