{"id":"https://openalex.org/W1971952108","doi":"https://doi.org/10.1177/0037549708094046","title":"Symbolic Reduction for High-Speed Power System Simulation","display_name":"Symbolic Reduction for High-Speed Power System Simulation","publication_year":2008,"publication_date":"2008-06-01","ids":{"openalex":"https://openalex.org/W1971952108","doi":"https://doi.org/10.1177/0037549708094046","mag":"1971952108"},"language":"en","primary_location":{"id":"doi:10.1177/0037549708094046","is_oa":false,"landing_page_url":"https://doi.org/10.1177/0037549708094046","pdf_url":null,"source":{"id":"https://openalex.org/S32573412","display_name":"SIMULATION","issn_l":"0037-5497","issn":["0037-5497","1741-3133"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIMULATION","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/A5055880664","display_name":"William M. Siever","orcid":null},"institutions":[{"id":"https://openalex.org/I11957088","display_name":"Michigan Technological University","ror":"https://ror.org/0036rpn28","country_code":"US","type":"education","lineage":["https://openalex.org/I11957088"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"William M. Siever","raw_affiliation_strings":["Michigan Technological University Houghton, MI, USA,","Michigan Technological University Houghton, MI, USA,#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Michigan Technological University Houghton, MI, USA,","institution_ids":["https://openalex.org/I11957088"]},{"raw_affiliation_string":"Michigan Technological University Houghton, MI, USA,#TAB#","institution_ids":["https://openalex.org/I11957088"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049252789","display_name":"Daniel R. Tauritz","orcid":"https://orcid.org/0000-0002-8233-7701"},"institutions":[{"id":"https://openalex.org/I20382870","display_name":"Missouri University of Science and Technology","ror":"https://ror.org/00scwqd12","country_code":"US","type":"education","lineage":["https://openalex.org/I20382870"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Daniel R. Tauritz","raw_affiliation_strings":["Missouri University of Science and Technology Rolla, MO, USA","Missouri University of Science and Technology, Rolla(MO), USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Missouri University of Science and Technology Rolla, MO, USA","institution_ids":["https://openalex.org/I20382870"]},{"raw_affiliation_string":"Missouri University of Science and Technology, Rolla(MO), USA","institution_ids":["https://openalex.org/I20382870"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103334958","display_name":"Ann Miller","orcid":null},"institutions":[{"id":"https://openalex.org/I20382870","display_name":"Missouri University of Science and Technology","ror":"https://ror.org/00scwqd12","country_code":"US","type":"education","lineage":["https://openalex.org/I20382870"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ann Miller","raw_affiliation_strings":["Missouri University of Science and Technology Rolla, MO, USA","Missouri University of Science and Technology, Rolla(MO), USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Missouri University of Science and Technology Rolla, MO, USA","institution_ids":["https://openalex.org/I20382870"]},{"raw_affiliation_string":"Missouri University of Science and Technology, Rolla(MO), USA","institution_ids":["https://openalex.org/I20382870"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033665703","display_name":"Mariesa L. Crow","orcid":"https://orcid.org/0000-0002-2087-9599"},"institutions":[{"id":"https://openalex.org/I20382870","display_name":"Missouri University of Science and Technology","ror":"https://ror.org/00scwqd12","country_code":"US","type":"education","lineage":["https://openalex.org/I20382870"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mariesa Crow","raw_affiliation_strings":["Missouri University of Science and Technology Rolla, MO, USA","Missouri University of Science and Technology, Rolla(MO), USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Missouri University of Science and Technology Rolla, MO, USA","institution_ids":["https://openalex.org/I20382870"]},{"raw_affiliation_string":"Missouri University of Science and Technology, Rolla(MO), USA","institution_ids":["https://openalex.org/I20382870"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060566208","display_name":"Bruce McMillin","orcid":"https://orcid.org/0000-0002-2158-0337"},"institutions":[{"id":"https://openalex.org/I20382870","display_name":"Missouri University of Science and Technology","ror":"https://ror.org/00scwqd12","country_code":"US","type":"education","lineage":["https://openalex.org/I20382870"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bruce M. McMillin","raw_affiliation_strings":["Missouri University of Science and Technology Rolla, MO, USA","Missouri University of Science and Technology, Rolla(MO), USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Missouri University of Science and Technology Rolla, MO, USA","institution_ids":["https://openalex.org/I20382870"]},{"raw_affiliation_string":"Missouri University of Science and Technology, Rolla(MO), USA","institution_ids":["https://openalex.org/I20382870"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069734626","display_name":"Stanley Atcitty","orcid":"https://orcid.org/0000-0002-3208-0880"},"institutions":[{"id":"https://openalex.org/I4210104735","display_name":"Sandia National Laboratories","ror":"https://ror.org/01apwpt12","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I198811213","https://openalex.org/I4210104735"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Stanley Atcitty","raw_affiliation_strings":["Sandia National Laboratories Sandia, NM, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sandia National Laboratories Sandia, NM, USA","institution_ids":["https://openalex.org/I4210104735"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5055880664"],"corresponding_institution_ids":["https://openalex.org/I11957088"],"apc_list":null,"apc_paid":null,"fwci":1.6558,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.85652936,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"84","issue":"6","first_page":"297","last_page":"309"},"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":0.9995999932289124,"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":0.9995999932289124,"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/T10305","display_name":"Power System Optimization and Stability","score":0.9818000197410583,"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/T11195","display_name":"Simulation Techniques and Applications","score":0.9761000275611877,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7531946301460266},{"id":"https://openalex.org/keywords/debugging","display_name":"Debugging","score":0.6620496511459351},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.582821249961853},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5545531511306763},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.4969973862171173},{"id":"https://openalex.org/keywords/transient","display_name":"Transient (computer programming)","score":0.43119189143180847},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.41997525095939636},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.41292405128479004},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4109744429588318},{"id":"https://openalex.org/keywords/computer-engineering","display_name":"Computer engineering","score":0.3529053330421448},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.25202274322509766},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.12248155474662781},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.09594038128852844}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7531946301460266},{"id":"https://openalex.org/C168065819","wikidata":"https://www.wikidata.org/wiki/Q845566","display_name":"Debugging","level":2,"score":0.6620496511459351},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.582821249961853},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5545531511306763},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.4969973862171173},{"id":"https://openalex.org/C2780799671","wikidata":"https://www.wikidata.org/wiki/Q17087362","display_name":"Transient (computer programming)","level":2,"score":0.43119189143180847},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.41997525095939636},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.41292405128479004},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4109744429588318},{"id":"https://openalex.org/C113775141","wikidata":"https://www.wikidata.org/wiki/Q428691","display_name":"Computer engineering","level":1,"score":0.3529053330421448},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.25202274322509766},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.12248155474662781},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.09594038128852844},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1177/0037549708094046","is_oa":false,"landing_page_url":"https://doi.org/10.1177/0037549708094046","pdf_url":null,"source":{"id":"https://openalex.org/S32573412","display_name":"SIMULATION","issn_l":"0037-5497","issn":["0037-5497","1741-3133"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIMULATION","raw_type":"journal-article"},{"id":"pmh:oai:digitalcommons.mtu.edu:michigantech-p-32124","is_oa":false,"landing_page_url":"https://digitalcommons.mtu.edu/michigantech-p/12822","pdf_url":null,"source":{"id":"https://openalex.org/S4377196391","display_name":"Digital Commons - Michigan Tech (Michigan Technological University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I11957088","host_organization_name":"Michigan Technological University","host_organization_lineage":["https://openalex.org/I11957088"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Michigan Tech Publications, Part 1","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320312855","display_name":"Missouri University of Science and Technology","ror":"https://ror.org/00scwqd12"},{"id":"https://openalex.org/F4320332369","display_name":"National Nuclear Security Administration","ror":"https://ror.org/03sk1we31"},{"id":"https://openalex.org/F4320333675","display_name":"Intelligent Systems Center","ror":null},{"id":"https://openalex.org/F4320338291","display_name":"Sandia National Laboratories","ror":"https://ror.org/01apwpt12"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W949849296","https://openalex.org/W1582112384","https://openalex.org/W1927919841","https://openalex.org/W1937914841","https://openalex.org/W1992748711","https://openalex.org/W2029278215","https://openalex.org/W2038205735","https://openalex.org/W2043670592","https://openalex.org/W2051917325","https://openalex.org/W2073528486","https://openalex.org/W2074093855","https://openalex.org/W2083646602","https://openalex.org/W2128372115","https://openalex.org/W2133074915","https://openalex.org/W2146300017","https://openalex.org/W2155072568","https://openalex.org/W2181050835","https://openalex.org/W4205327951","https://openalex.org/W4205556238","https://openalex.org/W4249287040","https://openalex.org/W4300617714"],"related_works":["https://openalex.org/W4321442002","https://openalex.org/W2015265939","https://openalex.org/W2386042020","https://openalex.org/W2171916062","https://openalex.org/W2967220637","https://openalex.org/W4247603094","https://openalex.org/W3049643604","https://openalex.org/W3023796992","https://openalex.org/W2120796965","https://openalex.org/W2377193240"],"abstract_inverted_index":{"High-speed":[0],"simulations":[1],"of":[2,13,93,129,137,150],"power":[3,86,97,142],"transmission":[4],"systems,":[5],"which":[6,144],"often":[7],"rely":[8],"on":[9,132],"solving":[10],"nonlinear":[11],"systems":[12,48,117],"equations,":[14],"are":[15,56],"an":[16,151],"increasingly":[17],"important":[18],"tool":[19],"for":[20],"training,":[21],"testing":[22],"equipment,":[23],"on-line":[24],"control":[25],"and":[26,53,60,104,124],"situational":[27],"awareness.":[28],"Such":[29],"simulations,":[30],"however,":[31],"suffer":[32],"from":[33],"two":[34],"major":[35],"problems:":[36],"(1)":[37,81],"they":[38,55],"can":[39,69],"be":[40,70],"too":[41],"computationally":[42],"demanding":[43],"to":[44,58,72,114],"simulate":[45],"large,":[46],"complex":[47],"within":[49],"appropriate":[50],"time":[51,149],"constraints;":[52],"(2)":[54,89],"difficult":[57],"develop":[59],"debug.":[61],"Prior":[62],"work":[63],"has":[64],"shown":[65],"how":[66],"symbolic":[67,94,108,121,130],"computation":[68,95],"used":[71],"help":[73],"reduce":[74],"both":[75],"problems.":[76],"In":[77],"this":[78],"paper,":[79],"we:":[80],"review":[82],"common":[83],"concepts":[84],"in":[85,96,146],"system":[87,98],"simulations;":[88],"summarize":[90],"prior":[91],"use":[92],"simulation;":[99],"(3)":[100],"explore":[101],"the":[102,112,127,138,148],"advantages":[103,128],"disadvantages":[105],"achieved":[106],"via":[107,118],"techniques;":[109],"(4)":[110],"extend":[111],"techniques":[113,131],"solve":[115],"linear":[116],"a":[119,133],"priori":[120],"LU":[122],"decomposition;":[123],"(5)":[125],"demonstrate":[126],"transient":[134],"event":[135],"simulation":[136],"IEEE":[139],"118-bus":[140],"test":[141],"system,":[143],"runs":[145],"one-tenth":[147],"equivalent":[152],"traditional":[153],"(sparse":[154],"matrix)":[155],"approach.":[156]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2026-05-05T06:06:40.768181","created_date":"2025-10-10T00:00:00"}