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UNIFICATION AND CLASSIFICATION OF ALGEBRAIC TESTS FOR LOSS OF VOLTAGE STABILITY

Three distinct types of algebraic bifurcations are shown to occur in both a load flow model and in a transient midterm stability model. Angle bifurcation results in significant angle change and no voltage change at the point of bifurcation. Voltage bifurcation results in significant voltage change a...

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Published in:Electric machines and power systems 1993-09, Vol.21 (5), p.557-589
Main Author: SCHLUETER, R. A.
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Language:English
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description Three distinct types of algebraic bifurcations are shown to occur in both a load flow model and in a transient midterm stability model. Angle bifurcation results in significant angle change and no voltage change at the point of bifurcation. Voltage bifurcation results in significant voltage change and no angle change at the bifurcation point. Voltage and angle bifurcation result in both voltage and angle change at the bifurcation point. Angle bifurcation occurs due to reaching the real power transfer capability across some interface or boundary of the network. Voltage bifurcation is due to inability to transfer needed reactive power to a bus or area across a boundary due to insufficient voltage control and thus reactive supply capability in the region. Voltage and angle bifurcation results when reactive power can' be transferred to a bus or area across a boundary due to insufficient reactive supply and excessive reactive losses (I 2 X and shunt capacitive reactive withdrawal due to voltage drop) caused by real power transfer. Unique tests for the three types of load flow bifurcation are given. All the load flow voltage instability proximity measures are then classified in terms of which of these three types of load flow bifurcations they test for at the points of collapse. PQ controllability tests are shown to test for voltage, bifurcation and voltage and angle bifurcation. Any proximity test of reactive power versus voltage relationships also tests for voltage bifurcation and voltage and angle bifurcation. Proximity to all three types of load flow bifurcation are measured by either (a) tests of the singularity of the load flow jacobian or (b) proximity measures that test real power transfer or loading effects on voltage. Since equivalent voltage, angle, and voltage and angle bifurcations occur in a transient stability model, the load flow proximity measure tests can be applied on a transient stability model. This paper, thus, classifies and unifies the various proximity measure tests and point of collapse tests for voltage instability on both a load flow and transient stability model.
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Voltage and angle bifurcation results when reactive power can' be transferred to a bus or area across a boundary due to insufficient reactive supply and excessive reactive losses (I 2 X and shunt capacitive reactive withdrawal due to voltage drop) caused by real power transfer. Unique tests for the three types of load flow bifurcation are given. All the load flow voltage instability proximity measures are then classified in terms of which of these three types of load flow bifurcations they test for at the points of collapse. PQ controllability tests are shown to test for voltage, bifurcation and voltage and angle bifurcation. Any proximity test of reactive power versus voltage relationships also tests for voltage bifurcation and voltage and angle bifurcation. Proximity to all three types of load flow bifurcation are measured by either (a) tests of the singularity of the load flow jacobian or (b) proximity measures that test real power transfer or loading effects on voltage. Since equivalent voltage, angle, and voltage and angle bifurcations occur in a transient stability model, the load flow proximity measure tests can be applied on a transient stability model. This paper, thus, classifies and unifies the various proximity measure tests and point of collapse tests for voltage instability on both a load flow and transient stability model.</description><identifier>ISSN: 0731-356X</identifier><identifier>EISSN: 1521-0502</identifier><identifier>DOI: 10.1080/07313569308909681</identifier><language>eng</language><publisher>Philadelphia, PA: Taylor &amp; Francis Group</publisher><subject>Applied sciences ; bifurcation ; Electrical engineering. Electrical power engineering ; Electrical power engineering ; Exact sciences and technology ; jacobian ; loadflow ; Loss of voltage stability ; Power networks and lines ; sensitivity matrix ; Theory. 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Voltage and angle bifurcation results when reactive power can' be transferred to a bus or area across a boundary due to insufficient reactive supply and excessive reactive losses (I 2 X and shunt capacitive reactive withdrawal due to voltage drop) caused by real power transfer. Unique tests for the three types of load flow bifurcation are given. All the load flow voltage instability proximity measures are then classified in terms of which of these three types of load flow bifurcations they test for at the points of collapse. PQ controllability tests are shown to test for voltage, bifurcation and voltage and angle bifurcation. Any proximity test of reactive power versus voltage relationships also tests for voltage bifurcation and voltage and angle bifurcation. Proximity to all three types of load flow bifurcation are measured by either (a) tests of the singularity of the load flow jacobian or (b) proximity measures that test real power transfer or loading effects on voltage. Since equivalent voltage, angle, and voltage and angle bifurcations occur in a transient stability model, the load flow proximity measure tests can be applied on a transient stability model. This paper, thus, classifies and unifies the various proximity measure tests and point of collapse tests for voltage instability on both a load flow and transient stability model.</description><subject>Applied sciences</subject><subject>bifurcation</subject><subject>Electrical engineering. Electrical power engineering</subject><subject>Electrical power engineering</subject><subject>Exact sciences and technology</subject><subject>jacobian</subject><subject>loadflow</subject><subject>Loss of voltage stability</subject><subject>Power networks and lines</subject><subject>sensitivity matrix</subject><subject>Theory. 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A.</creator><general>Taylor &amp; Francis Group</general><general>Taylor &amp; Francis</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>19930901</creationdate><title>UNIFICATION AND CLASSIFICATION OF ALGEBRAIC TESTS FOR LOSS OF VOLTAGE STABILITY</title><author>SCHLUETER, R. A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c325t-7ea5d24b385b9f4bd5da9e612c1d77eac53c2a91bf52ffafe9b0ba979c602d3a3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1993</creationdate><topic>Applied sciences</topic><topic>bifurcation</topic><topic>Electrical engineering. Electrical power engineering</topic><topic>Electrical power engineering</topic><topic>Exact sciences and technology</topic><topic>jacobian</topic><topic>loadflow</topic><topic>Loss of voltage stability</topic><topic>Power networks and lines</topic><topic>sensitivity matrix</topic><topic>Theory. Simulation</topic><topic>transient mid-term stability</topic><topic>voltage control area</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>SCHLUETER, R. A.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><jtitle>Electric machines and power systems</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>SCHLUETER, R. 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Voltage bifurcation is due to inability to transfer needed reactive power to a bus or area across a boundary due to insufficient voltage control and thus reactive supply capability in the region. Voltage and angle bifurcation results when reactive power can' be transferred to a bus or area across a boundary due to insufficient reactive supply and excessive reactive losses (I 2 X and shunt capacitive reactive withdrawal due to voltage drop) caused by real power transfer. Unique tests for the three types of load flow bifurcation are given. All the load flow voltage instability proximity measures are then classified in terms of which of these three types of load flow bifurcations they test for at the points of collapse. PQ controllability tests are shown to test for voltage, bifurcation and voltage and angle bifurcation. Any proximity test of reactive power versus voltage relationships also tests for voltage bifurcation and voltage and angle bifurcation. Proximity to all three types of load flow bifurcation are measured by either (a) tests of the singularity of the load flow jacobian or (b) proximity measures that test real power transfer or loading effects on voltage. Since equivalent voltage, angle, and voltage and angle bifurcations occur in a transient stability model, the load flow proximity measure tests can be applied on a transient stability model. This paper, thus, classifies and unifies the various proximity measure tests and point of collapse tests for voltage instability on both a load flow and transient stability model.</abstract><cop>Philadelphia, PA</cop><pub>Taylor &amp; Francis Group</pub><doi>10.1080/07313569308909681</doi><tpages>33</tpages></addata></record>
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ispartof Electric machines and power systems, 1993-09, Vol.21 (5), p.557-589
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1521-0502
language eng
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source Taylor & Francis Engineering, Computing & Technology Archive
subjects Applied sciences
bifurcation
Electrical engineering. Electrical power engineering
Electrical power engineering
Exact sciences and technology
jacobian
loadflow
Loss of voltage stability
Power networks and lines
sensitivity matrix
Theory. Simulation
transient mid-term stability
voltage control area
title UNIFICATION AND CLASSIFICATION OF ALGEBRAIC TESTS FOR LOSS OF VOLTAGE STABILITY
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