{"id":"https://openalex.org/W2912044994","doi":"https://doi.org/10.3390/sym11020136","title":"Analytic Loss Minimization: Theoretical Framework of a Second Order Optimization Method","display_name":"Analytic Loss Minimization: Theoretical Framework of a Second Order Optimization Method","publication_year":2019,"publication_date":"2019-01-26","ids":{"openalex":"https://openalex.org/W2912044994","doi":"https://doi.org/10.3390/sym11020136","mag":"2912044994"},"language":"en","primary_location":{"id":"doi:10.3390/sym11020136","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11020136","pdf_url":"https://www.mdpi.com/2073-8994/11/2/136/pdf?version=1548550335","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/11/2/136/pdf?version=1548550335","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035637270","display_name":"Ioannis Dassios","orcid":"https://orcid.org/0000-0001-8763-8741"},"institutions":[{"id":"https://openalex.org/I100930933","display_name":"University College Dublin","ror":"https://ror.org/05m7pjf47","country_code":"IE","type":"education","lineage":["https://openalex.org/I100930933"]}],"countries":["IE"],"is_corresponding":true,"raw_author_name":"Ioannis K. Dassios","raw_affiliation_strings":["AMPSAS, University College Dublin, Dublin 4, Ireland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"AMPSAS, University College Dublin, Dublin 4, Ireland","institution_ids":["https://openalex.org/I100930933"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5035637270"],"corresponding_institution_ids":["https://openalex.org/I100930933"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":3.4367,"has_fulltext":true,"cited_by_count":19,"citation_normalized_percentile":{"value":0.93026355,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"11","issue":"2","first_page":"136","last_page":"136"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10305","display_name":"Power System Optimization and Stability","score":0.9962999820709229,"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":0.9952999949455261,"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/minification","display_name":"Minification","score":0.7268321514129639},{"id":"https://openalex.org/keywords/minimisation","display_name":"Minimisation (clinical trials)","score":0.6814633011817932},{"id":"https://openalex.org/keywords/generator","display_name":"Generator (circuit theory)","score":0.5681439638137817},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5042334794998169},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46621328592300415},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.45305389165878296},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.4529283940792084},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.4367351233959198},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41249412298202515},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.40985408425331116},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38513389229774475},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.33575549721717834},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18685775995254517},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.08250224590301514},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.07561340928077698},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07363715767860413}],"concepts":[{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.7268321514129639},{"id":"https://openalex.org/C86941820","wikidata":"https://www.wikidata.org/wiki/Q6865391","display_name":"Minimisation (clinical trials)","level":2,"score":0.6814633011817932},{"id":"https://openalex.org/C2780992000","wikidata":"https://www.wikidata.org/wiki/Q17016113","display_name":"Generator (circuit theory)","level":3,"score":0.5681439638137817},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5042334794998169},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46621328592300415},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.45305389165878296},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.4529283940792084},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.4367351233959198},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41249412298202515},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40985408425331116},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38513389229774475},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.33575549721717834},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18685775995254517},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08250224590301514},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.07561340928077698},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07363715767860413},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3390/sym11020136","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11020136","pdf_url":"https://www.mdpi.com/2073-8994/11/2/136/pdf?version=1548550335","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:researchrepository.ucd.ie:10197/10577","is_oa":true,"landing_page_url":"http://hdl.handle.net/10197/10577","pdf_url":"http://hdl.handle.net/10197/10577","source":{"id":"https://openalex.org/S4306402280","display_name":"Research Repository UCD (University College Dublin)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I100930933","host_organization_name":"University College Dublin","host_organization_lineage":["https://openalex.org/I100930933"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal Article"},{"id":"pmh:oai:doaj.org/article:93ead92e01af4f27ad2d80343afc5ad5","is_oa":true,"landing_page_url":"https://doaj.org/article/93ead92e01af4f27ad2d80343afc5ad5","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":"Symmetry, Vol 11, Iss 2, p 136 (2019)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/11/2/136/","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/sym11020136","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym11020136","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11020136","pdf_url":"https://www.mdpi.com/2073-8994/11/2/136/pdf?version=1548550335","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.6299999952316284,"display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G5007711978","display_name":"Advanced Modelling for Power System Analysis and Simulation","funder_award_id":"15/IA/3074","funder_id":"https://openalex.org/F4320320847","funder_display_name":"Science Foundation Ireland"},{"id":"https://openalex.org/G7101299288","display_name":null,"funder_award_id":"SFI/15/IA/3074","funder_id":"https://openalex.org/F4320320847","funder_display_name":"Science Foundation Ireland"},{"id":"https://openalex.org/G8173526563","display_name":null,"funder_award_id":"15/IA/","funder_id":"https://openalex.org/F4320320847","funder_display_name":"Science Foundation Ireland"}],"funders":[{"id":"https://openalex.org/F4320320847","display_name":"Science Foundation Ireland","ror":"https://ror.org/0271asj38"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2912044994.pdf","grobid_xml":"https://content.openalex.org/works/W2912044994.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W1600918306","https://openalex.org/W1856264136","https://openalex.org/W1992454573","https://openalex.org/W2005416416","https://openalex.org/W2024621150","https://openalex.org/W2033570963","https://openalex.org/W2069978080","https://openalex.org/W2079244159","https://openalex.org/W2109680636","https://openalex.org/W2119432694","https://openalex.org/W2144267444","https://openalex.org/W2146972891","https://openalex.org/W2419626787","https://openalex.org/W2905546991","https://openalex.org/W2910937114"],"related_works":["https://openalex.org/W2011109452","https://openalex.org/W3001177499","https://openalex.org/W2058883719","https://openalex.org/W2412912529","https://openalex.org/W4238468613","https://openalex.org/W2051185874","https://openalex.org/W2010213412","https://openalex.org/W2183289884","https://openalex.org/W2955428252","https://openalex.org/W2034765479"],"abstract_inverted_index":{"In":[0],"power":[1,18],"engineering,":[2],"the":[3,37,62,69,86,111],"Y":[4,42,90],"b":[5,91],"u":[6,92],"s":[7,93],"is":[8,33],"a":[9,17,52,73],"symmetric":[10],"N":[11,13,22],"\u00d7":[12],"square":[14],"matrix":[15,99],"describing":[16],"system":[19],"network":[20],"with":[21,104],"buses.":[23],"By":[24],"partitioning,":[25],"manipulating":[26],"and":[27,41,67,107],"using":[28],"its":[29],"symmetry":[30,87],"properties,":[31],"it":[32],"possible":[34],"to":[35,50,109],"derive":[36],"K":[38],"G":[39,43,44],"L":[40],"M":[45],"matrices,":[46],"which":[47],"are":[48],"useful":[49],"define":[51,96],"loss":[53,80],"minimisation":[54],"dispatch":[55],"for":[56,78],"generators.":[57],"This":[58],"article":[59],"focuses":[60],"on":[61],"case":[63],"of":[64,72,89,101,114],"constant-current":[65],"loads":[66],"studies":[68],"theoretical":[70],"framework":[71],"second":[74],"order":[75],"optimization":[76],"method":[77],"analytic":[79],"minimization":[81],"by":[82],"taking":[83],"into":[84],"account":[85],"properties":[88],".":[94],"We":[95],"an":[97],"appropriate":[98],"functional":[100],"several":[102],"variables":[103],"complex":[105],"elements":[106],"aim":[108],"obtain":[110],"minimum":[112],"values":[113],"generator":[115],"voltages.":[116]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":4}],"updated_date":"2026-06-22T08:00:12.763002","created_date":"2025-10-10T00:00:00"}
