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Lyapunov function for robust voltage stability analysis considering perturbation location

In this paper, a method to analyze the small-perturbation voltage stability of power systems with varying load by means of the quadratic Lyapunov function is presented. By using the quadratic Lyapunov function, the voltage stability is analyzed algebraically as a result of this analysis, and a volta...

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Main Authors:	Halim, A., Takahashi, K., Kermanshahi, B.
Format:	Conference Proceeding
Language:	English
Subjects:	Jacobian matrices Lyapunov method Power system analysis computing Power system stability Reactive power Robust stability Stability analysis System testing Uncertainty Voltage
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creator	Halim, A. Takahashi, K. Kermanshahi, B.
description	In this paper, a method to analyze the small-perturbation voltage stability of power systems with varying load by means of the quadratic Lyapunov function is presented. By using the quadratic Lyapunov function, the voltage stability is analyzed algebraically as a result of this analysis, and a voltage stability index is proposed. Numerical tests are carried out on a 3-bus system and a single machine to verify the performance of these indices as well as verification of computation bound of varying ratio of reactive power and voltage from its operating condition which force the system to maintain its stability. In this paper, by considering the location of uncertainties in the Jacobian matrix, a robust stability analysis is also presented.
doi_str_mv	10.1109/ICPST.1998.729339
format	conference_proceeding
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By using the quadratic Lyapunov function, the voltage stability is analyzed algebraically as a result of this analysis, and a voltage stability index is proposed. Numerical tests are carried out on a 3-bus system and a single machine to verify the performance of these indices as well as verification of computation bound of varying ratio of reactive power and voltage from its operating condition which force the system to maintain its stability. 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In this paper, by considering the location of uncertainties in the Jacobian matrix, a robust stability analysis is also presented.</description><subject>Jacobian matrices</subject><subject>Lyapunov method</subject><subject>Power system analysis computing</subject><subject>Power system stability</subject><subject>Reactive power</subject><subject>Robust stability</subject><subject>Stability analysis</subject><subject>System testing</subject><subject>Uncertainty</subject><subject>Voltage</subject><isbn>9780780347540</isbn><isbn>0780347544</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>1998</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><recordid>eNotj89KxDAYxAMiKGsfQE95gdZkv7RJjlL8s1BQcD14WpL06xKpzZKkC317l12HgfldZmAIuees4pzpx0378bmtuNaqkmsNoK9IoaViJ4OQtWA3pEjph50EupZa35LvbjGHeQpHOsyTyz5MdAiRxmDnlOkxjNnskaZsrB99XqiZzLgkn6gLU_I9Rj_t6QFjnqM15_oY3BnuyPVgxoTFf67I18vztn0ru_fXTfvUlZ5LkUsJCl0jrHNY61qABVQCuBI9gBVNo00vGRjEteC2R23BKmiANWqwzjQKVuThsusRcXeI_tfEZXf5D3-NGFN4</recordid><startdate>1998</startdate><enddate>1998</enddate><creator>Halim, A.</creator><creator>Takahashi, K.</creator><creator>Kermanshahi, B.</creator><general>IEEE</general><scope>6IE</scope><scope>6IL</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIL</scope></search><sort><creationdate>1998</creationdate><title>Lyapunov function for robust voltage stability analysis considering perturbation location</title><author>Halim, A. ; Takahashi, K. ; Kermanshahi, B.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i174t-738ec64bcce59543b3e843184d33b4669ad703aee241bde9b3b8363068fbca683</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>1998</creationdate><topic>Jacobian matrices</topic><topic>Lyapunov method</topic><topic>Power system analysis computing</topic><topic>Power system stability</topic><topic>Reactive power</topic><topic>Robust stability</topic><topic>Stability analysis</topic><topic>System testing</topic><topic>Uncertainty</topic><topic>Voltage</topic><toplevel>online_resources</toplevel><creatorcontrib>Halim, A.</creatorcontrib><creatorcontrib>Takahashi, K.</creatorcontrib><creatorcontrib>Kermanshahi, B.</creatorcontrib><collection>IEEE Electronic Library (IEL) Conference Proceedings</collection><collection>IEEE Proceedings Order Plan All Online (POP All Online) 1998-present by volume</collection><collection>IEEE Xplore All Conference Proceedings</collection><collection>IEEE Xplore (Online service)</collection><collection>IEEE Proceedings Order Plans (POP All) 1998-Present</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Halim, A.</au><au>Takahashi, K.</au><au>Kermanshahi, B.</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Lyapunov function for robust voltage stability analysis considering perturbation location</atitle><btitle>POWERCON '98. 1998 International Conference on Power System Technology. Proceedings (Cat. No.98EX151)</btitle><stitle>ICPST</stitle><date>1998</date><risdate>1998</risdate><volume>2</volume><spage>1508</spage><epage>1512 vol.2</epage><pages>1508-1512 vol.2</pages><isbn>9780780347540</isbn><isbn>0780347544</isbn><abstract>In this paper, a method to analyze the small-perturbation voltage stability of power systems with varying load by means of the quadratic Lyapunov function is presented. By using the quadratic Lyapunov function, the voltage stability is analyzed algebraically as a result of this analysis, and a voltage stability index is proposed. Numerical tests are carried out on a 3-bus system and a single machine to verify the performance of these indices as well as verification of computation bound of varying ratio of reactive power and voltage from its operating condition which force the system to maintain its stability. In this paper, by considering the location of uncertainties in the Jacobian matrix, a robust stability analysis is also presented.</abstract><pub>IEEE</pub><doi>10.1109/ICPST.1998.729339</doi></addata></record>
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language	eng
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source	IEEE Electronic Library (IEL) Conference Proceedings
subjects	Jacobian matrices Lyapunov method Power system analysis computing Power system stability Reactive power Robust stability Stability analysis System testing Uncertainty Voltage
title	Lyapunov function for robust voltage stability analysis considering perturbation location
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