Analysis of time-varying power system loads via Chebyshev polynomials

Lázaro, I I, Pineda Garcia, G, Espinosa, E and Zavala, S (2008) Analysis of time-varying power system loads via Chebyshev polynomials. 2008 Electronics, Robotics and Automotive Mechanics Conference (CERMA '08), Cuernavaca, Morelos, Mexico, 30 Sept.-3 Oct. 2008. Published in: 2008 Electronics, Robotics and Automotive Mechanics Conference (CERMA '08). 332-337. IEEE ISBN 9780769533209

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Abstract

This paper presents a frequency domain based methodology using Chebyshev polynomials of the first kind, the methodology can be used to make an analysis of time-varying linear systems in the transient state. The method takes advantages of the operational properties available to most orthogonal series expression, i.e. integration, differentiation, product and coefficient matrices. The approach may be seen as an extension of phasor analysis commonly used for the analysis of linear time-invariant electric networks to periodic networks. A high order time-varying system is presented and it is analyzed via the proposed methodology.

Item Type: Conference Proceedings
Keywords: Chebyshev approximation;frequency-domain analysis;load flow;transmission network calculations;transmission networks;time-varying power system loads;Chebyshev polynomials;frequency domain-based methodology;time-varying linear systems;orthogonal series expression;phasor analysis;linear time-invariant electric networks;periodic networks;Polynomials;Approximation methods;Chebyshev approximation;Time-varying systems;Equations;Mathematical model;Harmonic distortion;Operational Matrix;Time-varying systems;Harmonics;Chebyshev Polynomials;periodic steady state
Schools and Departments: School of Engineering and Informatics > Informatics
Research Centres and Groups: Centre for Computational Neuroscience and Robotics
Subjects: Q Science > QA Mathematics > QA0299 Analysis. Including analytical methods connected with physical problems
T Technology > TK Electrical engineering. Electronics Nuclear engineering
T Technology > TK Electrical engineering. Electronics Nuclear engineering > TK1001 Production of electric energy or power. Powerplants. Central stations
Depositing User: Garibaldi Pineda Garcia
Date Deposited: 08 Jan 2019 16:24
Last Modified: 08 Jan 2019 16:24
URI: http://sro.sussex.ac.uk/id/eprint/80951

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