{"id":"https://openalex.org/W2765221421","doi":"https://doi.org/10.1109/tpds.2017.2769649","title":"A Relaxation-Based Network Decomposition Algorithm for Parallel Transient Stability Simulation with Improved Convergence","display_name":"A Relaxation-Based Network Decomposition Algorithm for Parallel Transient Stability Simulation with Improved Convergence","publication_year":2017,"publication_date":"2017-11-03","ids":{"openalex":"https://openalex.org/W2765221421","doi":"https://doi.org/10.1109/tpds.2017.2769649","mag":"2765221421"},"language":"en","primary_location":{"id":"doi:10.1109/tpds.2017.2769649","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tpds.2017.2769649","pdf_url":null,"source":{"id":"https://openalex.org/S97130795","display_name":"IEEE Transactions on Parallel and Distributed Systems","issn_l":"1045-9219","issn":["1045-9219","1558-2183","2161-9883"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Parallel and Distributed Systems","raw_type":"journal-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/A5037451952","display_name":"Jian Shi","orcid":null},"institutions":[{"id":"https://openalex.org/I99041443","display_name":"Mississippi State University","ror":"https://ror.org/0432jq872","country_code":"US","type":"education","lineage":["https://openalex.org/I4210141039","https://openalex.org/I99041443"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jian Shi","raw_affiliation_strings":["High Performance Computing Collabotory at Mississippi State University, Starkviile, MS"],"affiliations":[{"raw_affiliation_string":"High Performance Computing Collabotory at Mississippi State University, Starkviile, MS","institution_ids":["https://openalex.org/I99041443"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072498994","display_name":"Brian Sullivan","orcid":null},"institutions":[{"id":"https://openalex.org/I99041443","display_name":"Mississippi State University","ror":"https://ror.org/0432jq872","country_code":"US","type":"education","lineage":["https://openalex.org/I4210141039","https://openalex.org/I99041443"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Brian Sullivan","raw_affiliation_strings":["High Performance Computing Collabotory at Mississippi State University, Starkviile, MS"],"affiliations":[{"raw_affiliation_string":"High Performance Computing Collabotory at Mississippi State University, Starkviile, MS","institution_ids":["https://openalex.org/I99041443"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011917709","display_name":"Michael S. Mazzola","orcid":null},"institutions":[{"id":"https://openalex.org/I99041443","display_name":"Mississippi State University","ror":"https://ror.org/0432jq872","country_code":"US","type":"education","lineage":["https://openalex.org/I4210141039","https://openalex.org/I99041443"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mike Mazzola","raw_affiliation_strings":["High Performance Computing Collabotory at Mississippi State University, Starkviile, MS"],"affiliations":[{"raw_affiliation_string":"High Performance Computing Collabotory at Mississippi State University, Starkviile, MS","institution_ids":["https://openalex.org/I99041443"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011566045","display_name":"Babak Saravi","orcid":null},"institutions":[{"id":"https://openalex.org/I99041443","display_name":"Mississippi State University","ror":"https://ror.org/0432jq872","country_code":"US","type":"education","lineage":["https://openalex.org/I4210141039","https://openalex.org/I99041443"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Babak Saravi","raw_affiliation_strings":["High Performance Computing Collabotory at Mississippi State University, Starkviile, MS"],"affiliations":[{"raw_affiliation_string":"High Performance Computing Collabotory at Mississippi State University, Starkviile, MS","institution_ids":["https://openalex.org/I99041443"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054798275","display_name":"Uttam Adhikari","orcid":null},"institutions":[{"id":"https://openalex.org/I4210127083","display_name":"SoHaR (United States)","ror":"https://ror.org/033km7y93","country_code":"US","type":"company","lineage":["https://openalex.org/I4210127083"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Uttam Adhikari","raw_affiliation_strings":["PEAK Reliability, Loveland, CO"],"affiliations":[{"raw_affiliation_string":"PEAK Reliability, Loveland, CO","institution_ids":["https://openalex.org/I4210127083"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041548244","display_name":"T. Haupt","orcid":null},"institutions":[{"id":"https://openalex.org/I99041443","display_name":"Mississippi State University","ror":"https://ror.org/0432jq872","country_code":"US","type":"education","lineage":["https://openalex.org/I4210141039","https://openalex.org/I99041443"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tomasz Haupt","raw_affiliation_strings":["High Performance Computing Collabotory at Mississippi State University, Starkviile, MS"],"affiliations":[{"raw_affiliation_string":"High Performance Computing Collabotory at Mississippi State University, Starkviile, MS","institution_ids":["https://openalex.org/I99041443"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5037451952"],"corresponding_institution_ids":["https://openalex.org/I99041443"],"apc_list":null,"apc_paid":null,"fwci":1.8169,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.87089366,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"29","issue":"3","first_page":"496","last_page":"511"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9984999895095825,"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":0.9984999895095825,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9983999729156494,"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/T10305","display_name":"Power System Optimization and Stability","score":0.9965000152587891,"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/computer-science","display_name":"Computer science","score":0.7329684495925903},{"id":"https://openalex.org/keywords/domain-decomposition-methods","display_name":"Domain decomposition methods","score":0.6812953948974609},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.6297844052314758},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5818392038345337},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5342442393302917},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.5302410125732422},{"id":"https://openalex.org/keywords/preconditioner","display_name":"Preconditioner","score":0.487162321805954},{"id":"https://openalex.org/keywords/transient","display_name":"Transient (computer programming)","score":0.483277827501297},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.42377936840057373},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.3949660062789917},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.24838319420814514},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.16286486387252808}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7329684495925903},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.6812953948974609},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.6297844052314758},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5818392038345337},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5342442393302917},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.5302410125732422},{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.487162321805954},{"id":"https://openalex.org/C2780799671","wikidata":"https://www.wikidata.org/wiki/Q17087362","display_name":"Transient (computer programming)","level":2,"score":0.483277827501297},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.42377936840057373},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.3949660062789917},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.24838319420814514},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.16286486387252808},{"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/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tpds.2017.2769649","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tpds.2017.2769649","pdf_url":null,"source":{"id":"https://openalex.org/S97130795","display_name":"IEEE Transactions on Parallel and Distributed Systems","issn_l":"1045-9219","issn":["1045-9219","1558-2183","2161-9883"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Parallel and Distributed Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W1506342804","https://openalex.org/W1548589512","https://openalex.org/W1625890759","https://openalex.org/W1763243278","https://openalex.org/W1965190232","https://openalex.org/W1970009422","https://openalex.org/W1978439297","https://openalex.org/W1995184122","https://openalex.org/W2001984903","https://openalex.org/W2005419865","https://openalex.org/W2009744635","https://openalex.org/W2023092572","https://openalex.org/W2025320481","https://openalex.org/W2040228368","https://openalex.org/W2042337741","https://openalex.org/W2043084436","https://openalex.org/W2051585621","https://openalex.org/W2057762605","https://openalex.org/W2059550433","https://openalex.org/W2078531316","https://openalex.org/W2087704633","https://openalex.org/W2121322499","https://openalex.org/W2128336398","https://openalex.org/W2155990195","https://openalex.org/W2161873733","https://openalex.org/W2163356590","https://openalex.org/W2344930660","https://openalex.org/W2507680016","https://openalex.org/W2594570300","https://openalex.org/W2787214348","https://openalex.org/W2963461170","https://openalex.org/W3037176119","https://openalex.org/W4233031217","https://openalex.org/W4247782380","https://openalex.org/W6636543897","https://openalex.org/W6651788645","https://openalex.org/W6779744486"],"related_works":["https://openalex.org/W4229577910","https://openalex.org/W2800324324","https://openalex.org/W2640255794","https://openalex.org/W2026707481","https://openalex.org/W2743060302","https://openalex.org/W2117656216","https://openalex.org/W2626358056","https://openalex.org/W3047336714","https://openalex.org/W2054089597","https://openalex.org/W1480631731"],"abstract_inverted_index":{"Transient":[0],"stability":[1],"simulation":[2,23,35,45,99],"of":[3,16,31,89,104,145,162,183],"a":[4,13,57,90,102,123,167],"large-scale":[5],"and":[6,29,39,114,157,164],"interconnected":[7],"electric":[8],"power":[9,32],"system":[10],"involves":[11],"solving":[12],"large":[14],"set":[15,103],"differential":[17],"algebraic":[18],"equations":[19],"(DAEs)":[20],"at":[21],"every":[22],"time-step.":[24],"With":[25],"the":[26,86,96,117,139,143,146,174,181,184],"ever-growing":[27],"size":[28,182],"complexity":[30,168],"grids,":[33],"dynamic":[34,98],"becomes":[36],"more":[37],"time-consuming":[38],"computationally":[40],"difficult":[41],"using":[42,154],"conventional":[43],"sequential":[44],"techniques.":[46],"To":[47],"cope":[48],"with":[49,79],"this":[50,52],"challenge,":[51],"paper":[53],"aims":[54],"to":[55,94,111,141,172],"develop":[56],"fully":[58],"distributed":[59],"approach":[60,93],"intended":[61],"for":[62,125],"implementation":[63],"on":[64,132],"High":[65],"Performance":[66],"Computer":[67],"(HPC)":[68],"clusters.":[69],"A":[70],"novel,":[71],"relaxation-based":[72,126],"domain":[73],"decomposition":[74,92],"algorithm":[75,151],"known":[76],"as":[77,85,138],"Parallel-General-Norton":[78],"Multiple-port":[80],"Equivalent":[81],"(PGNME)":[82],"is":[83,136,152,170],"proposed":[84,147,150],"core":[87],"technique":[88],"two-stage":[91],"divide":[95],"overall":[97],"problem":[100],"into":[101],"subproblems":[105,185],"that":[106,176],"can":[107],"be":[108],"solved":[109],"concurrently":[110],"exploit":[112],"parallelism":[113],"scalability.":[115],"While":[116],"convergence":[118,144],"property":[119],"has":[120],"traditionally":[121],"been":[122],"concern":[124],"decomposition,":[127],"an":[128],"estimation":[129],"mechanism":[130],"based":[131],"multiple-port":[133],"network":[134],"equivalent":[135],"adopted":[137],"preconditioner":[140],"enhance":[142],"algorithm.":[148],"The":[149],"illustrated":[153],"rigorous":[155],"mathematics":[156],"validated":[158],"both":[159],"in":[160],"terms":[161],"speed-up":[163],"capability.":[165],"Moreover,":[166],"analysis":[169],"performed":[171],"support":[173],"observation":[175],"PGNME":[177],"scales":[178],"well":[179],"when":[180],"are":[186],"sufficiently":[187],"large.":[188]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-01-28T23:14:49.684275","created_date":"2025-10-10T00:00:00"}