{"id":"https://openalex.org/W2960988052","doi":"https://doi.org/10.1109/tcsii.2019.2927290","title":"Triangular Matrix Formulation for Power Flow Analysis in Radial DC Resistive Grids With CPLs","display_name":"Triangular Matrix Formulation for Power Flow Analysis in Radial DC Resistive Grids With CPLs","publication_year":2019,"publication_date":"2019-07-12","ids":{"openalex":"https://openalex.org/W2960988052","doi":"https://doi.org/10.1109/tcsii.2019.2927290","mag":"2960988052"},"language":"en","primary_location":{"id":"doi:10.1109/tcsii.2019.2927290","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2019.2927290","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"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 Circuits and Systems II: Express Briefs","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/A5091167317","display_name":"Oscar Danilo Montoya","orcid":"https://orcid.org/0000-0001-6051-4925"},"institutions":[{"id":"https://openalex.org/I141943178","display_name":"Universidad Tecnol\u00f3gica de Bol\u00edvar","ror":"https://ror.org/01d171k92","country_code":"CO","type":"education","lineage":["https://openalex.org/I141943178"]}],"countries":["CO"],"is_corresponding":true,"raw_author_name":"Oscar Danilo Montoya","raw_affiliation_strings":["Program of Electric and Electronic Engineering, Universidad Tecnol\u00f3gica de Bol\u00edvar, Cartagena, Colombia"],"affiliations":[{"raw_affiliation_string":"Program of Electric and Electronic Engineering, Universidad Tecnol\u00f3gica de Bol\u00edvar, Cartagena, Colombia","institution_ids":["https://openalex.org/I141943178"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003816455","display_name":"Luis Fernando Grisales-Nore\u00f1a","orcid":"https://orcid.org/0000-0002-1409-9756"},"institutions":[{"id":"https://openalex.org/I4210141572","display_name":"Instituto Tecnol\u00f3gico Metropolitano","ror":"https://ror.org/03zb5p722","country_code":"CO","type":"education","lineage":["https://openalex.org/I4210141572"]}],"countries":["CO"],"is_corresponding":false,"raw_author_name":"L. F. Grisales-Norena","raw_affiliation_strings":["Department of Mechatronic and Electromechanic Engineering, Instituto Tecnol\u00f3gico Metropolitano, Medell\u00edn, Colombia"],"affiliations":[{"raw_affiliation_string":"Department of Mechatronic and Electromechanic Engineering, Instituto Tecnol\u00f3gico Metropolitano, Medell\u00edn, Colombia","institution_ids":["https://openalex.org/I4210141572"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004614202","display_name":"Walter Gil-Gonz\u00e1lez","orcid":"https://orcid.org/0000-0001-7609-1197"},"institutions":[{"id":"https://openalex.org/I200183955","display_name":"Technological University of Pereira","ror":"https://ror.org/01d981710","country_code":"CO","type":"education","lineage":["https://openalex.org/I200183955"]}],"countries":["CO"],"is_corresponding":false,"raw_author_name":"Walter Gil-Gonzalez","raw_affiliation_strings":["Department of Electric Power Engineering, Universidad Tecnol\u00f3gica de Pereira, Pereira, Colombia"],"affiliations":[{"raw_affiliation_string":"Department of Electric Power Engineering, Universidad Tecnol\u00f3gica de Pereira, Pereira, Colombia","institution_ids":["https://openalex.org/I200183955"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5091167317"],"corresponding_institution_ids":["https://openalex.org/I141943178"],"apc_list":null,"apc_paid":null,"fwci":1.9268,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.86466991,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"67","issue":"6","first_page":"1094","last_page":"1098"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11102","display_name":"HVDC Systems and Fault Protection","score":0.998199999332428,"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"}},"topics":[{"id":"https://openalex.org/T11102","display_name":"HVDC Systems and Fault Protection","score":0.998199999332428,"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/T11444","display_name":"Electromagnetic Compatibility and Noise Suppression","score":0.9972000122070312,"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/T10223","display_name":"Microgrid Control and Optimization","score":0.9937999844551086,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.5670319199562073},{"id":"https://openalex.org/keywords/admittance-parameters","display_name":"Admittance parameters","score":0.5528096556663513},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.5330518484115601},{"id":"https://openalex.org/keywords/resistive-touchscreen","display_name":"Resistive touchscreen","score":0.5272974967956543},{"id":"https://openalex.org/keywords/admittance","display_name":"Admittance","score":0.512801468372345},{"id":"https://openalex.org/keywords/triangular-matrix","display_name":"Triangular matrix","score":0.5031766295433044},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4873676896095276},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.48185670375823975},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.48066580295562744},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.45257729291915894},{"id":"https://openalex.org/keywords/matlab","display_name":"MATLAB","score":0.4431765377521515},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4323578178882599},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42891865968704224},{"id":"https://openalex.org/keywords/electrical-impedance","display_name":"Electrical impedance","score":0.4278808534145355},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4270765483379364},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3794163465499878},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.34394747018814087},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32114720344543457},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.23728394508361816},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18118295073509216},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.14609414339065552},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.12774789333343506},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.12225952744483948},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11475956439971924},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.07590803503990173}],"concepts":[{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.5670319199562073},{"id":"https://openalex.org/C133833761","wikidata":"https://www.wikidata.org/wiki/Q16001847","display_name":"Admittance parameters","level":3,"score":0.5528096556663513},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.5330518484115601},{"id":"https://openalex.org/C6899612","wikidata":"https://www.wikidata.org/wiki/Q852911","display_name":"Resistive touchscreen","level":2,"score":0.5272974967956543},{"id":"https://openalex.org/C108811297","wikidata":"https://www.wikidata.org/wiki/Q214518","display_name":"Admittance","level":3,"score":0.512801468372345},{"id":"https://openalex.org/C104528550","wikidata":"https://www.wikidata.org/wiki/Q506265","display_name":"Triangular matrix","level":3,"score":0.5031766295433044},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4873676896095276},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.48185670375823975},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.48066580295562744},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.45257729291915894},{"id":"https://openalex.org/C2780365114","wikidata":"https://www.wikidata.org/wiki/Q169478","display_name":"MATLAB","level":2,"score":0.4431765377521515},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4323578178882599},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42891865968704224},{"id":"https://openalex.org/C17829176","wikidata":"https://www.wikidata.org/wiki/Q179043","display_name":"Electrical impedance","level":2,"score":0.4278808534145355},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4270765483379364},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3794163465499878},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.34394747018814087},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32114720344543457},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.23728394508361816},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18118295073509216},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.14609414339065552},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.12774789333343506},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.12225952744483948},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11475956439971924},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.07590803503990173},{"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcsii.2019.2927290","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2019.2927290","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"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 Circuits and Systems II: Express Briefs","raw_type":"journal-article"},{"id":"pmh:oai:repositorio.utb.edu.co:20.500.12585/9533","is_oa":false,"landing_page_url":"https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=8756198","pdf_url":null,"source":{"id":"https://openalex.org/S7407055175","display_name":"Repositorio UTB","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Circuits and Systems II: Express Briefs ( Volume: 67, Issue: 6, June 2020)","raw_type":"http://purl.org/coar/resource_type/c_6501"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6000000238418579,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1759197186","https://openalex.org/W1990832639","https://openalex.org/W2002517273","https://openalex.org/W2091922572","https://openalex.org/W2115690016","https://openalex.org/W2558733382","https://openalex.org/W2612229989","https://openalex.org/W2621248554","https://openalex.org/W2794665582","https://openalex.org/W2796008668","https://openalex.org/W2796663859","https://openalex.org/W2802430592","https://openalex.org/W2885017232","https://openalex.org/W2890625779","https://openalex.org/W2910606805","https://openalex.org/W2913421766","https://openalex.org/W2914790306","https://openalex.org/W2921539827","https://openalex.org/W2963079424","https://openalex.org/W3106107407"],"related_works":["https://openalex.org/W2044195815","https://openalex.org/W2085160502","https://openalex.org/W2349620591","https://openalex.org/W2316071688","https://openalex.org/W2368309484","https://openalex.org/W2014922722","https://openalex.org/W1838436459","https://openalex.org/W2049188836","https://openalex.org/W4253931848","https://openalex.org/W2536749825"],"abstract_inverted_index":{"This":[0],"brief":[1],"briefly":[2],"addresses":[3],"the":[4,30,54,72,103,106,115],"problem":[5],"of":[6,49,56,59,71,74,105],"power":[7,19,108],"flow":[8,109],"solution":[9,110],"for":[10],"direct-current":[11],"(dc)":[12],"networks":[13,91],"with":[14],"radial":[15,88],"configuration":[16],"and":[17,36,76,96,118,122],"constant":[18],"loads":[20],"(CPLs).":[21],"It":[22],"proposes":[23],"a":[24,42],"novel":[25],"iterative":[26],"method":[27,51],"based":[28],"on":[29],"upper":[31],"triangular":[32],"relationship":[33],"between":[34],"nodal":[35],"branch":[37],"currents,":[38],"it":[39],"also":[40,119],"uses":[41],"primitive":[43],"impedance":[44],"matrix.":[45],"The":[46],"main":[47],"advantage":[48],"this":[50],"lies":[52],"in":[53,69,80,131],"possibility":[55],"avoiding":[57],"inversions":[58],"non-diagonal":[60],"matrices,":[61],"which":[62],"allows":[63],"its":[64],"convergence":[65],"to":[66,82,101],"be":[67],"improved":[68],"terms":[70],"number":[73],"iterations":[75],"processing":[77],"times":[78],"required":[79],"comparison":[81,113],"classical":[83],"admittance-based":[84],"methods.":[85],"Three":[86],"different":[87],"dc":[89],"resistive":[90],"composed":[92],"by":[93],"21,":[94],"33,":[95],"69":[97],"nodes":[98],"are":[99,125],"employed":[100],"validate":[102],"effectiveness":[104],"proposed":[107],"method.":[111],"For":[112],"purposes,":[114],"Newton-Raphson":[116],"method,":[117],"successive":[120],"approximations":[121],"Taylor-based":[123],"approaches":[124],"implemented.":[126],"All":[127],"simulations":[128],"have":[129],"performed":[130],"MATLAB":[132],"software.":[133]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":2}],"updated_date":"2026-03-08T08:50:53.379069","created_date":"2025-10-10T00:00:00"}
