TITLE:
Analysis of Higher Order System with Impulse Exciting Functions in Z-Domain
AUTHORS:
Branislav Dobrucký, Pavol Štefanec, Mariana Beňová, Oleg V. Chernoyarov, Michal Pokorný
KEYWORDS:
Impulse Systems, Switching Function, Z-Transformation, Inverse Z-Transformation, Steady State Operation, Dynamical State Model, Modelling and Simulation
JOURNAL NAME:
Circuits and Systems,
Vol.7 No.11,
September
30,
2016
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.