{"id":"https://openalex.org/W2144506055","doi":"https://doi.org/10.1109/date.2011.5763014","title":"A block-diagonal structured model reduction scheme for power grid networks","display_name":"A block-diagonal structured model reduction scheme for power grid networks","publication_year":2011,"publication_date":"2011-03-01","ids":{"openalex":"https://openalex.org/W2144506055","doi":"https://doi.org/10.1109/date.2011.5763014","mag":"2144506055"},"language":"en","primary_location":{"id":"doi:10.1109/date.2011.5763014","is_oa":false,"landing_page_url":"https://doi.org/10.1109/date.2011.5763014","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 Design, Automation &amp; Test in Europe","raw_type":"proceedings-article"},"type":"conference-paper","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/A5100459107","display_name":"Zheng Zhang","orcid":"https://orcid.org/0000-0002-2292-0030"},"institutions":[{"id":"https://openalex.org/I4210110987","display_name":"IIT@MIT","ror":"https://ror.org/01wp8zh54","country_code":"US","type":"facility","lineage":["https://openalex.org/I30771326","https://openalex.org/I4210110987"]},{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zheng Zhang","raw_affiliation_strings":["Department of Electrical Engineering & Computer Science, MIT, Cambridge, MA, USA","Department of Electrical Engineering and Computer Science, MIT, Cambridge, MA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering & Computer Science, MIT, Cambridge, MA, USA","institution_ids":["https://openalex.org/I4210110987"]},{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, MIT, Cambridge, MA#TAB#","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100606893","display_name":"Xiang Hu","orcid":"https://orcid.org/0000-0001-5329-6907"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xiang Hu","raw_affiliation_strings":["Department of Electrical & Computer Engineering, University of California, San Diego, La Jolla, CA, USA","[Department of Electrical and Computer Engineering, UC San Diego, La Jolla, CA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical & Computer Engineering, University of California, San Diego, La Jolla, CA, USA","institution_ids":["https://openalex.org/I36258959"]},{"raw_affiliation_string":"[Department of Electrical and Computer Engineering, UC San Diego, La Jolla, CA]","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039615312","display_name":"Chung\u2010Kuan Cheng","orcid":"https://orcid.org/0000-0002-9865-8390"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chung-Kuan Cheng","raw_affiliation_strings":["Department of Computer Science & Engineering, University of California, San Diego, La Jolla, CA, USA","Department of Computer Science and Engineering, UC San Diego, La Jolla, CA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science & Engineering, University of California, San Diego, La Jolla, CA, USA","institution_ids":["https://openalex.org/I36258959"]},{"raw_affiliation_string":"Department of Computer Science and Engineering, UC San Diego, La Jolla, CA","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072120057","display_name":"Ngai Wong","orcid":"https://orcid.org/0000-0002-3026-0108"},"institutions":[{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Ngai Wong","raw_affiliation_strings":["Department of Electrical & Electronic Engineering, University of Hong Kong, Hong Kong, China","[Department of Electrical & Electronic Engineering, The University of Hong Kong]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical & Electronic Engineering, University of Hong Kong, Hong Kong, China","institution_ids":["https://openalex.org/I889458895"]},{"raw_affiliation_string":"[Department of Electrical & Electronic Engineering, The University of Hong Kong]","institution_ids":["https://openalex.org/I889458895"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5505,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.74066511,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10305","display_name":"Power System Optimization and Stability","score":0.9894999861717224,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9818000197410583,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"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/reduction","display_name":"Reduction (mathematics)","score":0.6931008100509644},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.6702287197113037},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.619060218334198},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5959615707397461},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5811357498168945},{"id":"https://openalex.org/keywords/power-grid","display_name":"Power grid","score":0.5265638828277588},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.4666248559951782},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.44147053360939026},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2487545907497406},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1111936867237091},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.059819817543029785},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.05918401479721069}],"concepts":[{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.6931008100509644},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.6702287197113037},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.619060218334198},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5959615707397461},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5811357498168945},{"id":"https://openalex.org/C2983254600","wikidata":"https://www.wikidata.org/wiki/Q1096907","display_name":"Power grid","level":3,"score":0.5265638828277588},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.4666248559951782},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.44147053360939026},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2487545907497406},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1111936867237091},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.059819817543029785},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05918401479721069},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/date.2011.5763014","is_oa":false,"landing_page_url":"https://doi.org/10.1109/date.2011.5763014","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 Design, Automation &amp; Test in Europe","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.465.6359","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.465.6359","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://hub.hku.hk/bitstream/10722/140207/1/Content.pdf?accept=1","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.962.6706","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.962.6706","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://hub.hku.hk/bitstream/10722/140207/1/Content.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6399999856948853,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1618431333","https://openalex.org/W2001988116","https://openalex.org/W2010005804","https://openalex.org/W2021519564","https://openalex.org/W2029506076","https://openalex.org/W2052143849","https://openalex.org/W2063668285","https://openalex.org/W2110205160","https://openalex.org/W2114849118","https://openalex.org/W2115314588","https://openalex.org/W2115595920","https://openalex.org/W2122608783","https://openalex.org/W2126970747","https://openalex.org/W2130462565","https://openalex.org/W2130464226","https://openalex.org/W2131254145","https://openalex.org/W2131633906","https://openalex.org/W2143225253","https://openalex.org/W2160003926","https://openalex.org/W2165200646","https://openalex.org/W3144735359","https://openalex.org/W4232846525","https://openalex.org/W4242732913"],"related_works":["https://openalex.org/W2135584473","https://openalex.org/W2964223869","https://openalex.org/W2626141450","https://openalex.org/W2810740133","https://openalex.org/W2114045837","https://openalex.org/W2792539140","https://openalex.org/W2005808740","https://openalex.org/W2295130398","https://openalex.org/W4302055909","https://openalex.org/W3021755553"],"abstract_inverted_index":{"We":[0],"propose":[1],"a":[2,75],"block-diagonal":[3,67],"structured":[4],"model":[5,20],"order":[6,21],"reduction":[7,22,40],"(BDSM)":[8],"scheme":[9],"for":[10,71,89],"fast":[11],"power":[12,18,32,143],"grid":[13,19,33,144],"analysis.":[14],"Compared":[15],"with":[16,57],"existing":[17],"(MOR)":[23],"methods,":[24],"BDSM":[25,44,63,106,138],"has":[26],"several":[27],"advantages.":[28],"First,":[29],"unlike":[30],"many":[31],"reductions":[34],"that":[35],"are":[36,139],"based":[37,99],"on":[38,100],"terminal":[39],"and":[41,60,135],"thus":[42],"error-prone,":[43],"utilizes":[45],"an":[46],"exact":[47],"column-by-column":[48],"moment":[49],"matching":[50],"to":[51,121],"provide":[52],"higher":[53],"numerical":[54],"accuracy.":[55],"Second,":[56],"similar":[58],"accuracy":[59,134],"macromodel":[61],"size,":[62],"generates":[64],"very":[65,131],"sparse":[66],"reduced-order":[68],"models":[69,87],"(ROMs)":[70],"massive-port":[72],"systems":[73],"at":[74],"lower":[76],"cost,":[77],"whereas":[78],"traditional":[79],"algorithms":[80],"such":[81],"as":[82],"PRIMA":[83],"produce":[84],"full":[85],"dense":[86],"inefficient":[88],"the":[90,111,125],"subsequent":[91],"simulation.":[92],"Third,":[93],"different":[94,117],"from":[95],"those":[96],"MOR":[97],"schemes":[98],"extended":[101],"Krylov":[102],"subspace":[103],"(EKS)":[104],"technique,":[105],"is":[107,114],"input-signal":[108],"independent,":[109],"so":[110],"resulting":[112],"ROM":[113,127],"reusable":[115],"under":[116],"excitations.":[118],"Finally,":[119],"due":[120],"its":[122],"blockdiagonal":[123],"structure,":[124],"obtained":[126],"can":[128],"be":[129],"simulated":[130],"fast.":[132],"The":[133],"efficiency":[136],"of":[137],"verified":[140],"by":[141],"industrial":[142],"benchmarks.":[145]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
