{"id":"https://openalex.org/W3216984289","doi":"https://doi.org/10.1109/access.2021.3129135","title":"Sensitivity Analysis for Voltage Stability Considering Voltage Dependent Characteristics of Loads and DGs","display_name":"Sensitivity Analysis for Voltage Stability Considering Voltage Dependent Characteristics of Loads and DGs","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3216984289","doi":"https://doi.org/10.1109/access.2021.3129135","mag":"3216984289"},"language":"en","primary_location":{"id":"doi:10.1109/access.2021.3129135","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3129135","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09618931.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09618931.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054537946","display_name":"Khaled Alzaareer","orcid":"https://orcid.org/0000-0002-3894-6200"},"institutions":[{"id":"https://openalex.org/I153921779","display_name":"Philadelphia University","ror":"https://ror.org/05mqvn149","country_code":"JO","type":"education","lineage":["https://openalex.org/I153921779"]}],"countries":["JO"],"is_corresponding":true,"raw_author_name":"Khaled Alzaareer","raw_affiliation_strings":["Electrical Engineering Department, Faculty of Engineering, Philadelphia University, Amman 19392, Jordan. (e-mail: kaledz87@yahoo.com)","Department of Electrical Engineering, ,"],"raw_orcid":"https://orcid.org/0000-0002-3894-6200","affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, Faculty of Engineering, Philadelphia University, Amman 19392, Jordan. (e-mail: kaledz87@yahoo.com)","institution_ids":["https://openalex.org/I153921779"]},{"raw_affiliation_string":"Department of Electrical Engineering, ,","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063495088","display_name":"Maarouf Saad","orcid":"https://orcid.org/0000-0003-2547-2509"},"institutions":[{"id":"https://openalex.org/I49663120","display_name":"Universit\u00e9 du Qu\u00e9bec","ror":"https://ror.org/010gxg263","country_code":"CA","type":"education","lineage":["https://openalex.org/I49663120"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Maarouf Saad","raw_affiliation_strings":["Electrical Engineering Department, University of Quebec, Canada"],"raw_orcid":"https://orcid.org/0000-0003-2547-2509","affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, University of Quebec, Canada","institution_ids":["https://openalex.org/I49663120"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033395260","display_name":"Hasan Mehrjerdi","orcid":"https://orcid.org/0000-0001-9775-8456"},"institutions":[{"id":"https://openalex.org/I60342839","display_name":"Qatar University","ror":"https://ror.org/00yhnba62","country_code":"QA","type":"education","lineage":["https://openalex.org/I60342839"]}],"countries":["QA"],"is_corresponding":false,"raw_author_name":"Hasan Mehrjerdi","raw_affiliation_strings":["Electrical Engineering Department, Qatar University, Qatar"],"raw_orcid":"https://orcid.org/0000-0001-9775-8456","affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, Qatar University, Qatar","institution_ids":["https://openalex.org/I60342839"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077566070","display_name":"Qusay Salem","orcid":"https://orcid.org/0000-0003-1025-9692"},"institutions":[{"id":"https://openalex.org/I158749337","display_name":"Princess Sumaya University for Technology","ror":"https://ror.org/01jy46q10","country_code":"JO","type":"education","lineage":["https://openalex.org/I158749337"]}],"countries":["JO"],"is_corresponding":false,"raw_author_name":"Qusay Salem","raw_affiliation_strings":["Department of Electrical Engineering, Princess Sumaya University for Technology, Jordan"],"raw_orcid":"https://orcid.org/0000-0003-1025-9692","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Princess Sumaya University for Technology, Jordan","institution_ids":["https://openalex.org/I158749337"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066413914","display_name":"Salman Harasis","orcid":"https://orcid.org/0000-0003-2427-5829"},"institutions":[{"id":"https://openalex.org/I114432678","display_name":"Tafila Technical University","ror":"https://ror.org/04jzmk773","country_code":"JO","type":"education","lineage":["https://openalex.org/I114432678"]}],"countries":["JO"],"is_corresponding":false,"raw_author_name":"Salman Harasis","raw_affiliation_strings":["Department of Electrical Power and Mechatronics Engineering, Tafila Technical University, Jordan"],"raw_orcid":"https://orcid.org/0000-0003-2427-5829","affiliations":[{"raw_affiliation_string":"Department of Electrical Power and Mechatronics Engineering, Tafila Technical University, Jordan","institution_ids":["https://openalex.org/I114432678"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071225977","display_name":"Al\u2010Motasem I. Aldaoudeyeh","orcid":"https://orcid.org/0000-0002-1907-6094"},"institutions":[{"id":"https://openalex.org/I114432678","display_name":"Tafila Technical University","ror":"https://ror.org/04jzmk773","country_code":"JO","type":"education","lineage":["https://openalex.org/I114432678"]}],"countries":["JO"],"is_corresponding":false,"raw_author_name":"Al-Motasem I. Aldaoudeyeh","raw_affiliation_strings":["Department of Electrical Power and Mechatronics Engineering, Tafila Technical University, Jordan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Power and Mechatronics Engineering, Tafila Technical University, Jordan","institution_ids":["https://openalex.org/I114432678"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015946045","display_name":"Hussein M. K. Al\u2010Masri","orcid":"https://orcid.org/0000-0001-8244-1296"},"institutions":[{"id":"https://openalex.org/I85507684","display_name":"Yarmouk University","ror":"https://ror.org/004mbaj56","country_code":"JO","type":"education","lineage":["https://openalex.org/I85507684"]}],"countries":["JO"],"is_corresponding":false,"raw_author_name":"Hussein M. K. Al-Masri","raw_affiliation_strings":["Department of Electrical Power Engineering, Yarmouk University, Jordan"],"raw_orcid":"https://orcid.org/0000-0001-8244-1296","affiliations":[{"raw_affiliation_string":"Department of Electrical Power Engineering, Yarmouk University, Jordan","institution_ids":["https://openalex.org/I85507684"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5054537946"],"corresponding_institution_ids":["https://openalex.org/I153921779"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.9835,"has_fulltext":true,"cited_by_count":19,"citation_normalized_percentile":{"value":0.75586307,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"9","issue":null,"first_page":"156437","last_page":"156450"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10305","display_name":"Power System Optimization and Stability","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10305","display_name":"Power System Optimization and Stability","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10454","display_name":"Optimal Power Flow Distribution","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10917","display_name":"Smart Grid Security and Resilience","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/sensitivity","display_name":"Sensitivity (control systems)","score":0.8033522367477417},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7592910528182983},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.630782425403595},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4445782005786896},{"id":"https://openalex.org/keywords/ac-power","display_name":"AC power","score":0.4382333755493164},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.43553808331489563},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.4271673262119293},{"id":"https://openalex.org/keywords/constant-power-circuit","display_name":"Constant power circuit","score":0.4231814444065094},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41713908314704895},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.41002291440963745},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2944830060005188},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.23222598433494568},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1897260844707489},{"id":"https://openalex.org/keywords/switched-mode-power-supply","display_name":"Switched-mode power supply","score":0.15411850810050964},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.13133037090301514},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12208771705627441},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.09261974692344666}],"concepts":[{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.8033522367477417},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7592910528182983},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.630782425403595},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4445782005786896},{"id":"https://openalex.org/C108755667","wikidata":"https://www.wikidata.org/wiki/Q1930258","display_name":"AC power","level":3,"score":0.4382333755493164},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.43553808331489563},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.4271673262119293},{"id":"https://openalex.org/C29586797","wikidata":"https://www.wikidata.org/wiki/Q5163663","display_name":"Constant power circuit","level":4,"score":0.4231814444065094},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41713908314704895},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.41002291440963745},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2944830060005188},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.23222598433494568},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1897260844707489},{"id":"https://openalex.org/C151799858","wikidata":"https://www.wikidata.org/wiki/Q587008","display_name":"Switched-mode power supply","level":3,"score":0.15411850810050964},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.13133037090301514},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12208771705627441},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.09261974692344666},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/access.2021.3129135","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3129135","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09618931.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:888bb7a0b6e840428799e13218a4eee4","is_oa":true,"landing_page_url":"https://doaj.org/article/888bb7a0b6e840428799e13218a4eee4","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 9, Pp 156437-156450 (2021)","raw_type":"article"},{"id":"pmh:oai:espace2.etsmtl.ca:23826","is_oa":false,"landing_page_url":"https://espace2.etsmtl.ca/id/eprint/23826/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402392","display_name":"Espace \u00c9TS (ETS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1341030882","host_organization_name":"Educational Testing Service","host_organization_lineage":["https://openalex.org/I1341030882"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article publi\u00e9 dans une revue, r\u00e9vis\u00e9 par les pairs"},{"id":"pmh:oai:qspace.qu.edu.qa:10576/36367","is_oa":false,"landing_page_url":"http://hdl.handle.net/10576/36367","pdf_url":null,"source":{"id":"https://openalex.org/S4306400014","display_name":"Qatar University QSpace (Qatar University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I60342839","host_organization_name":"Qatar University","host_organization_lineage":["https://openalex.org/I60342839"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":{"id":"doi:10.1109/access.2021.3129135","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3129135","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09618931.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.8999999761581421}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3216984289.pdf","grobid_xml":"https://content.openalex.org/works/W3216984289.grobid-xml"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W1930892614","https://openalex.org/W1985546273","https://openalex.org/W1993569388","https://openalex.org/W2003216162","https://openalex.org/W2003680000","https://openalex.org/W2014798826","https://openalex.org/W2019858936","https://openalex.org/W2026930814","https://openalex.org/W2052950518","https://openalex.org/W2076787439","https://openalex.org/W2099249167","https://openalex.org/W2106126426","https://openalex.org/W2106460389","https://openalex.org/W2107997114","https://openalex.org/W2109680636","https://openalex.org/W2116254949","https://openalex.org/W2131500380","https://openalex.org/W2143106694","https://openalex.org/W2143557537","https://openalex.org/W2149131720","https://openalex.org/W2155939138","https://openalex.org/W2157428561","https://openalex.org/W2165077469","https://openalex.org/W2169660380","https://openalex.org/W2553022589","https://openalex.org/W2764407010","https://openalex.org/W2945275429","https://openalex.org/W2999154371","https://openalex.org/W3010695328","https://openalex.org/W3031889349","https://openalex.org/W6762524126"],"related_works":["https://openalex.org/W2611936007","https://openalex.org/W3216441043","https://openalex.org/W3128574164","https://openalex.org/W2058948741","https://openalex.org/W2542630500","https://openalex.org/W2008049332","https://openalex.org/W3193037222","https://openalex.org/W1551679929","https://openalex.org/W2539209688","https://openalex.org/W2007549489"],"abstract_inverted_index":{"The":[0,79,147],"sensitivity":[1,41,50,80,128],"analysis":[2,9,42,51,81],"becomes":[3],"particularly":[4],"critical":[5],"for":[6],"voltage":[7,72,98],"stability":[8],"due":[10],"to":[11,53,113,144],"the":[12,28,39,55,58,64,71,97,127,137,150,156],"fluctuation":[13],"in":[14,38],"power":[15,68,121],"outputs":[16],"of":[17,23,31,67,75,129,139,149],"renewable":[18],"energy":[19],"resources.":[20],"Besides,":[21],"impacts":[22],"different":[24],"load":[25],"modeling":[26],"and":[27,63,77,109,119],"operation":[29],"mode":[30],"Distributed":[32],"Generations":[33],"(DGs)":[34],"are":[35,102,111],"not":[36],"addressed":[37],"well-known":[40],"methods.":[43],"Therefore,":[44],"this":[45,125],"work":[46],"presents":[47],"a":[48],"new":[49],"approach":[52,152],"find":[54],"relation":[56],"between":[57],"Voltage":[59],"Stability":[60],"Margin":[61],"(VSM)":[62],"control":[65,145],"variables":[66],"systems,":[69],"considering":[70],"dependent":[73,99],"characteristics":[74],"loads":[76,101],"DGs.":[78],"is":[82,153],"performed":[83],"on":[84,124,155],"VSM,":[85],"defined":[86],"from":[87],"equivalent":[88],"nodal":[89,140],"analysis,":[90,126],"via":[91],"its":[92],"differential":[93],"equation.":[94],"To":[95],"include":[96],"characteristics,":[100],"modeled":[103],"as":[104],"polynomial":[105],"function":[106],"(ZIP":[107],"model)":[108],"DGs":[110],"considered":[112],"be":[114,132],"operated":[115],"with":[116,142],"constant":[117,120],"current":[118],"modes.":[122],"Based":[123],"VSM":[130],"can":[131],"directly":[133],"obtained":[134],"by":[135],"taking":[136],"derivatives":[138],"voltages":[141],"respect":[143],"variables.":[146],"validity":[148],"developed":[151],"demonstrated":[154],"IEEE":[157],"118":[158],"bus":[159],"system.":[160]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
