{"id":"https://openalex.org/W2012854542","doi":"https://doi.org/10.1109/tpas.1968.292130","title":"Sensitivity in Power Systems","display_name":"Sensitivity in Power Systems","publication_year":1968,"publication_date":"1968-08-01","ids":{"openalex":"https://openalex.org/W2012854542","doi":"https://doi.org/10.1109/tpas.1968.292130","mag":"2012854542"},"language":"en","primary_location":{"id":"doi:10.1109/tpas.1968.292130","doi":"https://doi.org/10.1109/tpas.1968.292130","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tpas.1968.292130","pdf_url":null,"source":{"id":"https://openalex.org/S35391503","display_name":"IEEE Transactions on Power Apparatus and Systems","issn_l":"0018-9510","issn":["0018-9510"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Power Apparatus and Systems","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027116204","display_name":"J. Peschon","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"John Peschon","raw_affiliation_strings":["Wolf Management Services, Palo Alto, CA, USA","Wolf Management Services"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Wolf Management Services, Palo Alto, CA, USA","institution_ids":[]},{"raw_affiliation_string":"Wolf Management Services","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071304137","display_name":"Dean S. Piercy","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Dean S. Piercy","raw_affiliation_strings":["Wolf Management Services, Palo Alto, CA, USA","Wolf Management Services"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Wolf Management Services, Palo Alto, CA, USA","institution_ids":[]},{"raw_affiliation_string":"Wolf Management Services","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039444261","display_name":"W.F. Tinney","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I1294273899","display_name":"Bonneville Power Administration","ror":"https://ror.org/05mb2ak88","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I1294273899","https://openalex.org/I1330989302"]},{"id":"https://openalex.org/I1335927249","display_name":"United States Department of the Interior","ror":"https://ror.org/03v0pmy70","country_code":"US","type":"government","lineage":["https://openalex.org/I1335927249"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"William F. Tinney","raw_affiliation_strings":["U.S. Department of the Interior, Bonneville Power Administration, MKTP, Portland, OR, USA","U.S. Department of the Interior Bonneville Power Administration"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"U.S. Department of the Interior, Bonneville Power Administration, MKTP, Portland, OR, USA","institution_ids":["https://openalex.org/I1294273899"]},{"raw_affiliation_string":"U.S. Department of the Interior Bonneville Power Administration","institution_ids":["https://openalex.org/I1294273899","https://openalex.org/I1335927249"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014612781","display_name":"Odd J. Tveit","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I188703460","display_name":"DNV (Norway)","ror":"https://ror.org/04c235406","country_code":"NO","type":"company","lineage":["https://openalex.org/I188703460"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Odd J. Tveit","raw_affiliation_strings":["Det Norske Veritas, Oslo, Norway","Det Norske Vteritas"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Det Norske Veritas, Oslo, Norway","institution_ids":["https://openalex.org/I188703460"]},{"raw_affiliation_string":"Det Norske Vteritas","institution_ids":["https://openalex.org/I188703460"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":6.3993,"has_fulltext":false,"cited_by_count":154,"citation_normalized_percentile":{"value":0.96300336,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"PAS-87","issue":"8","first_page":"1687","last_page":"1696"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10305","display_name":"Power System Optimization and Stability","score":0.4731000065803528,"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":0.4731000065803528,"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/T10424","display_name":"Electric Power System Optimization","score":0.30979999899864197,"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":0.19130000472068787,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/sensitivity-analysis","display_name":"sensitivity analysis","score":0.9089999794960022},{"id":"https://openalex.org/keywords/power-systems","display_name":"power systems","score":0.9369999766349792},{"id":"https://openalex.org/keywords/voltage-sensitivity","display_name":"voltage sensitivity","score":0.781000018119812},{"id":"https://openalex.org/keywords/reactive-power-generation","display_name":"reactive power generation","score":0.6600000262260437},{"id":"https://openalex.org/keywords/operating-costs","display_name":"operating costs","score":0.7559999823570251},{"id":"https://openalex.org/keywords/power-flow","display_name":"power flow","score":0.5360000133514404}],"concepts":[{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.716557502746582},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.5940773487091064},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.5438526272773743},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40059593319892883},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.33719566464424133},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3292849659919739},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.3013277053833008},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2753119468688965},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.23915895819664001},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.20694008469581604},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.1600174605846405},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06532981991767883},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tpas.1968.292130","doi":"https://doi.org/10.1109/tpas.1968.292130","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tpas.1968.292130","pdf_url":null,"source":{"id":"https://openalex.org/S35391503","display_name":"IEEE Transactions on Power Apparatus and Systems","issn_l":"0018-9510","issn":["0018-9510"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Power Apparatus and Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.5690000057220459},{"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure","score":0.428600013256073}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1999562671","https://openalex.org/W2061029144","https://openalex.org/W2095570364","https://openalex.org/W2294662270","https://openalex.org/W2747075511","https://openalex.org/W3109871735","https://openalex.org/W4237723879","https://openalex.org/W4396738453"],"related_works":["https://openalex.org/W2016388739","https://openalex.org/W2362159132","https://openalex.org/W2155895046","https://openalex.org/W2041825349","https://openalex.org/W2144662944","https://openalex.org/W1993245954","https://openalex.org/W2384613618","https://openalex.org/W4229708415","https://openalex.org/W1982082875","https://openalex.org/W3116164929"],"abstract_inverted_index":{"Sensitivity":[0],"is":[1],"defined":[2],"as":[3,45,58,78],"the":[4,46,68,79,85],"ratio":[5],"\u0394x/\u0394y":[6],"relating":[7],"small":[8,16],"changes":[9,17],"\u0394x":[10],"of":[11,19,32,40,67],"some":[12,20],"dependent":[13],"variable":[14,24],"to":[15,53,74],"\u0394y":[18],"independent":[21],"or":[22],"controllable":[23],"y.":[25],"In":[26],"power":[27],"systems,":[28],"two":[29],"dominant":[30],"types":[31],"sensitivity":[33,39,66],"relations":[34],"are":[35],"defined,":[36],"namely":[37],"1)":[38],"one":[41],"electrical":[42,55,76],"variable,":[43,56],"such":[44,57,75],"voltage":[47],"VIat":[48],"node":[49,62,82,88],"i,":[50],"with":[51,72],"respect":[52,73],"another":[54],"reactive":[59],"production":[60,86],"Qjat":[61],"j,":[63],"and":[64,84],"2)":[65],"operating":[69],"cost":[70],"F":[71],"variables":[77],"consumption":[80],"CIat":[81],"i":[83],"Pjat":[87],"j.":[89]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":10},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":5}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2016-06-24T00:00:00"}