Randomized algorithm of invariant zeros evaluation of electrical power system, defined in descriptor form

A randomized algorithm for computing the invariant zeros of the electric energy system as a dynamical system with many inputs and many outputs (MIMO system), specified in the descriptor form, is proposed. Definitions of invariant zeros are carried out by randomizing the original MIMO system and it r...

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Main Authors: Gadzhiev Magomed, Misrikhanov Misrikhan, Ryabchenko Vladimir, Vasilenko Nikita
Format: Article
Language:English
Published: EDP Sciences 2018-01-01
Series:E3S Web of Conferences
Online Access:https://doi.org/10.1051/e3sconf/20185801004
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author Gadzhiev Magomed
Misrikhanov Misrikhan
Ryabchenko Vladimir
Vasilenko Nikita
author_facet Gadzhiev Magomed
Misrikhanov Misrikhan
Ryabchenko Vladimir
Vasilenko Nikita
author_sort Gadzhiev Magomed
collection DOAJ
description A randomized algorithm for computing the invariant zeros of the electric energy system as a dynamical system with many inputs and many outputs (MIMO system), specified in the descriptor form, is proposed. Definitions of invariant zeros are carried out by randomizing the original MIMO system and it reduces to a generalized eigenvalue problem for a numerical matrix. The application of the algorithm is illustrated by the example of calculating the invariant zeros of the linear model of the United Power System.
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spelling doaj.art-618e3289cfbf4027a8324938ffcdf9952022-12-21T23:19:24ZengEDP SciencesE3S Web of Conferences2267-12422018-01-01580100410.1051/e3sconf/20185801004e3sconf_rses2018_01004Randomized algorithm of invariant zeros evaluation of electrical power system, defined in descriptor formGadzhiev Magomed0Misrikhanov Misrikhan1Ryabchenko Vladimir2Vasilenko Nikita3National research university “MPEI”, Institute of Electrical Power EngineeringNational research university “MPEI”, Institute of Electrical Power EngineeringNational research university “MPEI”, Institute of Electrical Power EngineeringNational research university “MPEI”, Institute of Electrical Power EngineeringA randomized algorithm for computing the invariant zeros of the electric energy system as a dynamical system with many inputs and many outputs (MIMO system), specified in the descriptor form, is proposed. Definitions of invariant zeros are carried out by randomizing the original MIMO system and it reduces to a generalized eigenvalue problem for a numerical matrix. The application of the algorithm is illustrated by the example of calculating the invariant zeros of the linear model of the United Power System.https://doi.org/10.1051/e3sconf/20185801004
spellingShingle Gadzhiev Magomed
Misrikhanov Misrikhan
Ryabchenko Vladimir
Vasilenko Nikita
Randomized algorithm of invariant zeros evaluation of electrical power system, defined in descriptor form
E3S Web of Conferences
title Randomized algorithm of invariant zeros evaluation of electrical power system, defined in descriptor form
title_full Randomized algorithm of invariant zeros evaluation of electrical power system, defined in descriptor form
title_fullStr Randomized algorithm of invariant zeros evaluation of electrical power system, defined in descriptor form
title_full_unstemmed Randomized algorithm of invariant zeros evaluation of electrical power system, defined in descriptor form
title_short Randomized algorithm of invariant zeros evaluation of electrical power system, defined in descriptor form
title_sort randomized algorithm of invariant zeros evaluation of electrical power system defined in descriptor form
url https://doi.org/10.1051/e3sconf/20185801004
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