{"id":"https://openalex.org/W1597826122","doi":"https://doi.org/10.1109/cdc.2005.1583252","title":"Improved Numerical Integration Method for Power/Power Electronic Systems Based on Three-Point Collocation","display_name":"Improved Numerical Integration Method for Power/Power Electronic Systems Based on Three-Point Collocation","publication_year":2006,"publication_date":"2006-10-04","ids":{"openalex":"https://openalex.org/W1597826122","doi":"https://doi.org/10.1109/cdc.2005.1583252","mag":"1597826122"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2005.1583252","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2005.1583252","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 44th IEEE Conference on Decision and Control","raw_type":"proceedings-article"},"type":"article","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/A5082252730","display_name":"A. P. Sakis Meliopoulos","orcid":"https://orcid.org/0000-0003-4262-0497"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A.P. Meliopoulos","raw_affiliation_strings":["School of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA, USA","Fellow, IEEE, School of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA 30332 USA (phone: 404-894-2926; fax: 404-894-xxxx; e-mail: sakis.meliopoulos@ece.gatech.edu)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA, USA","institution_ids":["https://openalex.org/I130701444"]},{"raw_affiliation_string":"Fellow, IEEE, School of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA 30332 USA (phone: 404-894-2926; fax: 404-894-xxxx; e-mail: sakis.meliopoulos@ece.gatech.edu)","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086293579","display_name":"George J. Cokkinides","orcid":null},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]},{"id":"https://openalex.org/I188703185","display_name":"GTx (United States)","ror":"https://ror.org/0400j3f74","country_code":"US","type":"company","lineage":["https://openalex.org/I188703185"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"G.J. Cokkinides","raw_affiliation_strings":["School of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA, USA","fax: 404-894-xxxx"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA, USA","institution_ids":["https://openalex.org/I130701444"]},{"raw_affiliation_string":"fax: 404-894-xxxx","institution_ids":["https://openalex.org/I188703185"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077826646","display_name":"George Stefopoulos","orcid":"https://orcid.org/0000-0003-2257-8885"},"institutions":[{"id":"https://openalex.org/I103703290","display_name":"Sakarya University","ror":"https://ror.org/04ttnw109","country_code":"TR","type":"education","lineage":["https://openalex.org/I103703290"]},{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["TR","US"],"is_corresponding":false,"raw_author_name":"G.K. Stefopoulos","raw_affiliation_strings":["School of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA, USA","e-mail: sakis.meliopoulos@ece.gatech.edu)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA, USA","institution_ids":["https://openalex.org/I130701444"]},{"raw_affiliation_string":"e-mail: sakis.meliopoulos@ece.gatech.edu)","institution_ids":["https://openalex.org/I103703290"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.7542,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.89594849,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"6780","last_page":"6787"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12810","display_name":"Real-time simulation and control systems","score":0.9980999827384949,"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"}},"topics":[{"id":"https://openalex.org/T12810","display_name":"Real-time simulation and control systems","score":0.9980999827384949,"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"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10787","display_name":"Lightning and Electromagnetic Phenomena","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.6728319525718689},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5824469923973083},{"id":"https://openalex.org/keywords/numerical-integration","display_name":"Numerical integration","score":0.5283592343330383},{"id":"https://openalex.org/keywords/power-electronics","display_name":"Power electronics","score":0.5100327134132385},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4995901584625244},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4726765751838684},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.46288061141967773},{"id":"https://openalex.org/keywords/collocation","display_name":"Collocation (remote sensing)","score":0.4373801350593567},{"id":"https://openalex.org/keywords/differential-algebraic-equation","display_name":"Differential algebraic equation","score":0.42681801319122314},{"id":"https://openalex.org/keywords/transient","display_name":"Transient (computer programming)","score":0.4104146957397461},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.3135336935520172},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3063032925128937},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.2704744040966034},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.23684465885162354},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.2030128836631775},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.15427181124687195},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.1312505006790161},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09440135955810547}],"concepts":[{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.6728319525718689},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5824469923973083},{"id":"https://openalex.org/C127349201","wikidata":"https://www.wikidata.org/wiki/Q753445","display_name":"Numerical integration","level":2,"score":0.5283592343330383},{"id":"https://openalex.org/C178911571","wikidata":"https://www.wikidata.org/wiki/Q593143","display_name":"Power electronics","level":3,"score":0.5100327134132385},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4995901584625244},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4726765751838684},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.46288061141967773},{"id":"https://openalex.org/C80023036","wikidata":"https://www.wikidata.org/wiki/Q5147531","display_name":"Collocation (remote sensing)","level":2,"score":0.4373801350593567},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"score":0.42681801319122314},{"id":"https://openalex.org/C2780799671","wikidata":"https://www.wikidata.org/wiki/Q17087362","display_name":"Transient (computer programming)","level":2,"score":0.4104146957397461},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.3135336935520172},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3063032925128937},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.2704744040966034},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.23684465885162354},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.2030128836631775},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.15427181124687195},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.1312505006790161},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09440135955810547},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2005.1583252","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2005.1583252","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 44th IEEE Conference on Decision and Control","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7900000214576721,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1483220024","https://openalex.org/W1509923322","https://openalex.org/W1597944220","https://openalex.org/W1814347323","https://openalex.org/W1980294574","https://openalex.org/W1995504856","https://openalex.org/W2007308401","https://openalex.org/W2029049318","https://openalex.org/W2037148739","https://openalex.org/W2042388195","https://openalex.org/W2061748040","https://openalex.org/W2098085758","https://openalex.org/W2104717383","https://openalex.org/W2107915976","https://openalex.org/W2111411986","https://openalex.org/W2113332800","https://openalex.org/W2119304602","https://openalex.org/W2122726991","https://openalex.org/W2128954198","https://openalex.org/W2148168350","https://openalex.org/W2148339399","https://openalex.org/W2162818593","https://openalex.org/W2162882947","https://openalex.org/W2166852599","https://openalex.org/W2539834435","https://openalex.org/W3148921051","https://openalex.org/W3150416340","https://openalex.org/W3209416867","https://openalex.org/W4235380605","https://openalex.org/W4240485284","https://openalex.org/W4244889226"],"related_works":["https://openalex.org/W2370840338","https://openalex.org/W2388641108","https://openalex.org/W2368317224","https://openalex.org/W2370651559","https://openalex.org/W2383177152","https://openalex.org/W3000893075","https://openalex.org/W2349694428","https://openalex.org/W2384630579","https://openalex.org/W2358919722","https://openalex.org/W2381699590"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,50,78],"new":[4,22],"approach":[5,103],"for":[6,133,179],"time-domain":[7],"transient":[8,116],"simulation":[9],"of":[10,54,126,141],"electric":[11,165],"power":[12,17,114,169,182],"systems":[13,160,180],"with":[14,181],"or":[15],"without":[16],"electronic":[18,170],"(switching)":[19],"subsystems.":[20],"The":[21,30,83,102,149,174],"methodology":[23,151,175],"has":[24],"been":[25],"named":[26],"quadratic":[27,55],"integration":[28,89,122],"method.":[29],"method":[31,85,143],"is":[32,155,176],"based":[33],"on":[34,157],"the":[35,39,64,72,120,138,142,147],"following":[36],"two":[37,158],"innovations:(a)":[38],"nonlinear":[40,163,185],"system":[41,53,65,73,115],"model":[42,66],"equations":[43,67],"(in":[44],"general":[45],"differential-algebraic)":[46],"are":[47,68,144],"reformulated":[48],"to":[49,109],"fully":[51],"equivalent":[52],"equations,":[56],"by":[57],"introducing":[58],"additional":[59],"state":[60],"variables,":[61],"and":[62,96,128,152,167,184,191],"(b)":[63,168],"integrated":[69],"assuming":[70],"that":[71],"states":[74],"vary":[75],"quadratically":[76],"within":[77],"time":[79],"step":[80],"(quadratic":[81],"integration).":[82],"proposed":[84,150],"yields":[86],"an":[87],"implicit":[88],"scheme":[90],"which":[91],"demonstrates":[92,105],"improved":[93,99],"convergence":[94],"characteristics":[95],"most":[97],"importantly":[98],"solution":[100],"precision.":[101],"also":[104],"superior":[106],"behavior":[107],"compared":[108],"traditionally":[110],"used":[111],"methods":[112],"in":[113,124,146],"analysis":[117],"(such":[118],"as":[119,188],"trapezoidal":[121],"rule)":[123],"terms":[125],"accuracy":[127],"numerical":[129,139],"stability":[130],"properties,":[131],"especially":[132],"switching":[134],"systems.":[135],"Details":[136],"about":[137],"properties":[140],"discussed":[145],"paper.":[148],"its":[153],"performance":[154],"demonstrated":[156],"test":[159],"including":[161],"(a)":[162],"R-L":[164],"circuit,":[166],"circuit":[171],"(switching":[172],"system).":[173],"very":[177],"useful":[178],"electronics":[183],"devices":[186],"such":[187],"saturable":[189],"transformers/reactors":[190],"surge":[192],"arresters.":[193]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}