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Analysis of Higher Order System with Impulse Exciting Functions in Z-Domain
Faculty of Electrical Engineering, University of ?ilina, ?ilina, Slovak Republic
Faculty of Electrical Engineering, University of ?ilina, ?ilina, Slovak Republic
Faculty of Electrical Engineering, University of ?ilina, ?ilina, Slovak Republic
Department of Radio Engineering Devices and Antenna Systems, National Research University, Moscow Power Engineering Institute, Moscow, Russia
Faculty of Electrical Engineering, University of ?ilina, ?ilina, Slovak Republic
- 1 Faculty of Electrical Engineering, University of ?ilina, ?ilina, Slovak Republic
- 2 Faculty of Electrical Engineering, University of ?ilina, ?ilina, Slovak Republic
- 3 Faculty of Electrical Engineering, University of ?ilina, ?ilina, Slovak Republic
- 4 Department of Radio Engineering Devices and Antenna Systems, National Research University, Moscow Power Engineering Institute, Moscow, Russia
- 5 Faculty of Electrical Engineering, University of ?ilina, ?ilina, Slovak Republic
Circuits and Systems·Volume 07 (2016)·Pages 3951–3970·Published 6 September 2016·DOI10.4236/cs.2016.711328
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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 solve d 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.
KeywordsImpulse SystemsSwitching FunctionZ-TransformationInverse Z-TransformationSteady State OperationDynamical State ModelModelling and Simulation
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