Analysis of Higher Order System with Impulse Exciting Functions in Z-Domain - Circuits and Systems

CS > Vol.7 No.11, September 2016

Circuits and Systems

Volume 7, Issue 11 (September 2016)

ISSN Print: 2153-1285 ISSN Online: 2153-1293

Google-based Impact Factor: 0.48 Citations

Analysis of Higher Order System with Impulse Exciting Functions in Z-Domain ()

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Download as PDF (Size: 3187KB) PP. 3951-3970

DOI: 10.4236/cs.2016.711328 1,337 Downloads 2,188 Views Citations

Author(s)

Branislav Dobrucký¹, Pavol Štefanec¹, Mariana Beňová¹, Oleg V. Chernoyarov², Michal Pokorný¹

Affiliation(s)

¹Faculty of Electrical Engineering, University of ?ilina, ?ilina, Slovak Republic.
²Department of Radio Engineering Devices and Antenna Systems, National Research University, Moscow Power Engineering Institute, Moscow, Russia.

ABSTRACT

This paper deals with mathematical modelling of impulse waveforms and impulse switching functions used in electrical engineering. Impulse switching functions are later investigated using direct and inverse z-transformation. The results make possible to present those functions as infinite series expressed in pure numerical, exponential or trigonometric forms. The main advantage of used approach is the possibility to calculate investigated variables directly in any instant of time; dynamic state can be solved with the step of sequences (T/6, T/12) that means very fast. Theoretically derived waveforms are compared with simulation worked-out results as well as results of circuit emulator LT spice which are given in the paper.

KEYWORDS

Impulse Systems, Switching Function, Z-Transformation, Inverse Z-Transformation, Steady State Operation, Dynamical State Model, Modelling and Simulation

Share and Cite:

Dobrucký, B. , Štefanec, P. , Beňová, M. , Chernoyarov, O. and Pokorný, M. (2016) Analysis of Higher Order System with Impulse Exciting Functions in Z-Domain. Circuits and Systems, 7, 3951-3970. doi: 10.4236/cs.2016.711328.

Cited by

[1]	Discrete Analysis of Electric Circuits in Transient Regime with Z-Transform
	2021

[2]	Prediction of Voltage Stresses for Power Electronic System (LCLC) using Energy State Determination
	2020

[3]	MODELLING OF MATRIX CONVERTER SYSTEM WITH FICTITIOUS INTERLINK FUNCTION USING INSTANTANEOUS STATE CALCULATION
	Proceedings of 17th Conference on Applied Mathematics, 2018

[4]	Analysis and Modelling of System with Pulse-Width-Modulated Switching Function in Z-Domain
	2016

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