{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/97426"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/97426","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Line-limit-preserving power system equivalents","abstract":"This dissertation develops methods to create power system equivalents that preserve thermal line limits. Existing equivalent methods do not retain thermal limits of equivalent lines, which may result in the transfer capability of the equivalent case differing significantly from that of the original case. Hence, power system equivalents have not been used for studies regarding line limits such as optimal power flow, security constrained optimal power flow, etc. However, recently there has been a need to create limit-preserving equivalents (LPEs) for studying power markets and environmental issues. Therefore, the goal of this research has been to assign meaningful values to equivalent line limits instead of a zero or infinity, which have been used in the industry. Three methods are presented to develop LPEs based on total transfer capability and available transfer capability. They are able to determine if a single bus or group of buses to be equivalenced has an exact solution. If it has an exact solution, equivalent line limits are assigned with little computation. In case of non-exact solution, three algorithms are capable of providing under-, best, and overestimates of equivalent line limits which can be used for different applications. Each algorithm has distinctive advantages and disadvantages and they are described in detail. All three algorithms are applied to various cases and the results are compared to show the differences. With the development of these methods, the use of equivalents will increase in various studies of power systems.","abstract_html":"This dissertation develops methods to create power system equivalents that preserve thermal line limits. Existing equivalent methods do not retain thermal limits of equivalent lines, which may result in the transfer capability of the equivalent case differing significantly from that of the original case. Hence, power system equivalents have not been used for studies regarding line limits such as optimal power flow, security constrained optimal power flow, etc. However, recently there has been a need to create limit-preserving equivalents (LPEs) for studying power markets and environmental issues. Therefore, the goal of this research has been to assign meaningful values to equivalent line limits instead of a zero or infinity, which have been used in the industry. Three methods are presented to develop LPEs based on total transfer capability and available transfer capability. They are able to determine if a single bus or group of buses to be equivalenced has an exact solution. If it has an exact solution, equivalent line limits are assigned with little computation. In case of non-exact solution, three algorithms are capable of providing under-, best, and overestimates of equivalent line limits which can be used for different applications. Each algorithm has distinctive advantages and disadvantages and they are described in detail. All three algorithms are applied to various cases and the results are compared to show the differences. With the development of these methods, the use of equivalents will increase in various studies of power systems.","abstract_has_math":false,"creators":["Jang, Wonhyeok"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Electrical & Computer Engr","degree_department":null,"school":null,"contributors":["Zhu, Hao","Overbye, Thomas J.","Sauer, Peter W.","Chen, Deming","Bose, Subhonmesh"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2017,"date_issued":"2017-08-10T19:15:40Z","date_published":"2017-08-10T19:15:40Z","updated_at":"2026-07-22T22:24:34Z","subjects":["Power system equivalent","Ward equivalent","Line limit","Transfer capability"],"languages":["en"],"rights":["Copyright 2017 Wonhyeok Jang"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/97426","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Zhu, Hao","Overbye, Thomas J.","Sauer, Peter W.","Chen, Deming","Bose, Subhonmesh"]},{"key":"dc:creator","label":"Author","values":["Jang, Wonhyeok"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2017-08-10T19:15:40Z","2017-04-21","2017-05"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Electrical & Computer Engr"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Power system equivalent","Ward equivalent","Line limit","Transfer capability"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2017 Wonhyeok Jang"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/97426"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["This dissertation develops methods to create power system equivalents that preserve thermal line limits. Existing equivalent methods do not retain thermal limits of equivalent lines, which may result in the transfer capability of the equivalent case differing significantly from that of the original case. Hence, power system equivalents have not been used for studies regarding line limits such as optimal power flow, security constrained optimal power flow, etc. However, recently there has been a need to create limit-preserving equivalents (LPEs) for studying power markets and environmental issues. Therefore, the goal of this research has been to assign meaningful values to equivalent line limits instead of a zero or infinity, which have been used in the industry. Three methods are presented to develop LPEs based on total transfer capability and available transfer capability. They are able to determine if a single bus or group of buses to be equivalenced has an exact solution. If it has an exact solution, equivalent line limits are assigned with little computation. In case of non-exact solution, three algorithms are capable of providing under-, best, and overestimates of equivalent line limits which can be used for different applications. Each algorithm has distinctive advantages and disadvantages and they are described in detail. All three algorithms are applied to various cases and the results are compared to show the differences. With the development of these methods, the use of equivalents will increase in various studies of power systems.","Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2017-08-10 without embargo terms","The student, Wonhyeok Jang, accepted the attached license on 2017-04-20 at 17:34.","The student, Wonhyeok Jang, submitted this Dissertation for approval on 2017-04-20 at 17:40.","This Dissertation was approved for publication on 2017-04-21 at 10:17.","DSpace SAF Submission Ingestion Package generated from Vireo submission #10946 on 2017-08-10 at 13:43:35","Made available in DSpace on 2017-08-10T19:15:40Z (GMT). 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Existing equivalent methods do not retain thermal limits of equivalent lines, which may result in the transfer capability of the equivalent case differing significantly from that of the original case. Hence, power system equivalents have not been used for studies regarding line limits such as optimal power flow, security constrained optimal power flow, etc. However, recently there has been a need to create limit-preserving equivalents (LPEs) for studying power markets and environmental issues. Therefore, the goal of this research has been to assign meaningful values to equivalent line limits instead of a zero or infinity, which have been used in the industry. Three methods are presented to develop LPEs based on total transfer capability and available transfer capability. They are able to determine if a single bus or group of buses to be equivalenced has an exact solution. If it has an exact solution, equivalent line limits are assigned with little computation. In case of non-exact solution, three algorithms are capable of providing under-, best, and overestimates of equivalent line limits which can be used for different applications. Each algorithm has distinctive advantages and disadvantages and they are described in detail. All three algorithms are applied to various cases and the results are compared to show the differences. With the development of these methods, the use of equivalents will increase in various studies of power systems.","Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2017-08-10 without embargo terms","The student, Wonhyeok Jang, accepted the attached license on 2017-04-20 at 17:34.","The student, Wonhyeok Jang, submitted this Dissertation for approval on 2017-04-20 at 17:40.","This Dissertation was approved for publication on 2017-04-21 at 10:17.","DSpace SAF Submission Ingestion Package generated from Vireo submission #10946 on 2017-08-10 at 13:43:35","Made available in DSpace on 2017-08-10T19:15:40Z (GMT). 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