A security measure for random load disturbances in nonlinear power system models
This paper proposes a security measure to indicate vulnerability to voltage collapse in electric power systems. The voltage-collapse phenomenon is modeled as a large deviation in the nonlinear dynamics of the system, driven by small magnitude, broad spectrum disturbances in load. This model relates...
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| Veröffentlicht in: | IEEE transactions on circuits and systems 1987-12, Vol.34 (12), p.1546-1557 |
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| container_end_page | 1557 |
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| container_issue | 12 |
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| container_title | IEEE transactions on circuits and systems |
| container_volume | 34 |
| creator | De Marco, C. Bergen, A. |
| description | This paper proposes a security measure to indicate vulnerability to voltage collapse in electric power systems. The voltage-collapse phenomenon is modeled as a large deviation in the nonlinear dynamics of the system, driven by small magnitude, broad spectrum disturbances in load. This model relates the collapse to shrinking of the region of attraction for the operating point. The security measure indicating vulnerability to voltage collapse is based on expected exit time from the region of attraction for the stable operating point. It is shown that expected exit time can be related to a natural Lyapunov function for the power system, and that a security measure based on this expected exit time can be calculated simply by evaluating an exponential function of the Lyapunov "energy" at a neighboring load flow solution. |
| doi_str_mv | 10.1109/TCS.1987.1086092 |
| format | Article |
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The voltage-collapse phenomenon is modeled as a large deviation in the nonlinear dynamics of the system, driven by small magnitude, broad spectrum disturbances in load. This model relates the collapse to shrinking of the region of attraction for the operating point. The security measure indicating vulnerability to voltage collapse is based on expected exit time from the region of attraction for the stable operating point. It is shown that expected exit time can be related to a natural Lyapunov function for the power system, and that a security measure based on this expected exit time can be calculated simply by evaluating an exponential function of the Lyapunov "energy" at a neighboring load flow solution.</description><identifier>ISSN: 0098-4094</identifier><identifier>EISSN: 1558-1276</identifier><identifier>DOI: 10.1109/TCS.1987.1086092</identifier><identifier>CODEN: ICSYBT</identifier><language>eng</language><publisher>New York, NY: IEEE</publisher><subject>Applied sciences ; Electric variables measurement ; Electrical engineering. Electrical power engineering ; Electrical power engineering ; Exact sciences and technology ; Load modeling ; Nonlinear dynamical systems ; Operation. Load control. Reliability ; Power measurement ; Power networks and lines ; Power system dynamics ; Power system measurements ; Power system modeling ; Power system security ; Time measurement ; Voltage</subject><ispartof>IEEE transactions on circuits and systems, 1987-12, Vol.34 (12), p.1546-1557</ispartof><rights>1988 INIST-CNRS</rights><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c290t-7e618b57a37b25807685a6838143c2918def0dc54850963e904925816b1a5c843</citedby><cites>FETCH-LOGICAL-c290t-7e618b57a37b25807685a6838143c2918def0dc54850963e904925816b1a5c843</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/1086092$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,777,781,793,27905,27906,54739</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/1086092$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=7794533$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>De Marco, C.</creatorcontrib><creatorcontrib>Bergen, A.</creatorcontrib><title>A security measure for random load disturbances in nonlinear power system models</title><title>IEEE transactions on circuits and systems</title><addtitle>T-CAS</addtitle><description>This paper proposes a security measure to indicate vulnerability to voltage collapse in electric power systems. The voltage-collapse phenomenon is modeled as a large deviation in the nonlinear dynamics of the system, driven by small magnitude, broad spectrum disturbances in load. This model relates the collapse to shrinking of the region of attraction for the operating point. The security measure indicating vulnerability to voltage collapse is based on expected exit time from the region of attraction for the stable operating point. It is shown that expected exit time can be related to a natural Lyapunov function for the power system, and that a security measure based on this expected exit time can be calculated simply by evaluating an exponential function of the Lyapunov "energy" at a neighboring load flow solution.</description><subject>Applied sciences</subject><subject>Electric variables measurement</subject><subject>Electrical engineering. Electrical power engineering</subject><subject>Electrical power engineering</subject><subject>Exact sciences and technology</subject><subject>Load modeling</subject><subject>Nonlinear dynamical systems</subject><subject>Operation. Load control. Reliability</subject><subject>Power measurement</subject><subject>Power networks and lines</subject><subject>Power system dynamics</subject><subject>Power system measurements</subject><subject>Power system modeling</subject><subject>Power system security</subject><subject>Time measurement</subject><subject>Voltage</subject><issn>0098-4094</issn><issn>1558-1276</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1987</creationdate><recordtype>article</recordtype><recordid>eNpNkM1LxDAQR4MouK7eBS85eO06aZJmclwWv2BBwfVc0nQKkX4sSRfZ_95KF_E0l_d7MI-xWwErIcA-7DYfK2HRrARgATY_YwuhNWYiN8U5WwBYzBRYdcmuUvoCALSIC_a-5on8IYbxyDty6RCJN0Pk0fX10PF2cDWvQxoPsXK9p8RDz_uhb0NPLvL98E2Rp2MaqePdUFObrtlF49pEN6e7ZJ9Pj7vNS7Z9e37drLeZzy2MmaFCYKWNk6bKNYIpULsCJQolJ0JgTQ3UXivUYAtJFpSdOFFUwmmPSi4ZzF4fh5QiNeU-hs7FYymg_C1STkXK3yLlqcg0uZ8ne5e8a5vpRx_S384Yq7SUE3Y3Y4GI_llnyQ9zsmjW</recordid><startdate>19871201</startdate><enddate>19871201</enddate><creator>De Marco, C.</creator><creator>Bergen, A.</creator><general>IEEE</general><general>Institute of Electrical and Electronics Engineers</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>19871201</creationdate><title>A security measure for random load disturbances in nonlinear power system models</title><author>De Marco, C. ; Bergen, A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c290t-7e618b57a37b25807685a6838143c2918def0dc54850963e904925816b1a5c843</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1987</creationdate><topic>Applied sciences</topic><topic>Electric variables measurement</topic><topic>Electrical engineering. Electrical power engineering</topic><topic>Electrical power engineering</topic><topic>Exact sciences and technology</topic><topic>Load modeling</topic><topic>Nonlinear dynamical systems</topic><topic>Operation. Load control. Reliability</topic><topic>Power measurement</topic><topic>Power networks and lines</topic><topic>Power system dynamics</topic><topic>Power system measurements</topic><topic>Power system modeling</topic><topic>Power system security</topic><topic>Time measurement</topic><topic>Voltage</topic><toplevel>online_resources</toplevel><creatorcontrib>De Marco, C.</creatorcontrib><creatorcontrib>Bergen, A.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><jtitle>IEEE transactions on circuits and systems</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>De Marco, C.</au><au>Bergen, A.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A security measure for random load disturbances in nonlinear power system models</atitle><jtitle>IEEE transactions on circuits and systems</jtitle><stitle>T-CAS</stitle><date>1987-12-01</date><risdate>1987</risdate><volume>34</volume><issue>12</issue><spage>1546</spage><epage>1557</epage><pages>1546-1557</pages><issn>0098-4094</issn><eissn>1558-1276</eissn><coden>ICSYBT</coden><abstract>This paper proposes a security measure to indicate vulnerability to voltage collapse in electric power systems. The voltage-collapse phenomenon is modeled as a large deviation in the nonlinear dynamics of the system, driven by small magnitude, broad spectrum disturbances in load. This model relates the collapse to shrinking of the region of attraction for the operating point. The security measure indicating vulnerability to voltage collapse is based on expected exit time from the region of attraction for the stable operating point. It is shown that expected exit time can be related to a natural Lyapunov function for the power system, and that a security measure based on this expected exit time can be calculated simply by evaluating an exponential function of the Lyapunov "energy" at a neighboring load flow solution.</abstract><cop>New York, NY</cop><pub>IEEE</pub><doi>10.1109/TCS.1987.1086092</doi><tpages>12</tpages></addata></record> |
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| identifier | ISSN: 0098-4094 |
| ispartof | IEEE transactions on circuits and systems, 1987-12, Vol.34 (12), p.1546-1557 |
| issn | 0098-4094 1558-1276 |
| language | eng |
| recordid | cdi_ieee_primary_1086092 |
| source | IEEE Electronic Library (IEL) |
| subjects | Applied sciences Electric variables measurement Electrical engineering. Electrical power engineering Electrical power engineering Exact sciences and technology Load modeling Nonlinear dynamical systems Operation. Load control. Reliability Power measurement Power networks and lines Power system dynamics Power system measurements Power system modeling Power system security Time measurement Voltage |
| title | A security measure for random load disturbances in nonlinear power system models |
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