{"id":"https://openalex.org/W2970091231","doi":"https://doi.org/10.1109/tcsii.2019.2937564","title":"On the Existence of the Power Flow Solution in DC Grids With CPLs Through a Graph-Based Method","display_name":"On the Existence of the Power Flow Solution in DC Grids With CPLs Through a Graph-Based Method","publication_year":2019,"publication_date":"2019-08-27","ids":{"openalex":"https://openalex.org/W2970091231","doi":"https://doi.org/10.1109/tcsii.2019.2937564","mag":"2970091231"},"language":"en","primary_location":{"id":"doi:10.1109/tcsii.2019.2937564","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2019.2937564","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":true,"oa_status":"green","oa_url":"http://repositorio.utb.edu.co/bitstreams/6d73084f-fb33-48f8-8737-4663791ac013/download","any_repository_has_fulltext":true},"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 Electrical and Electronic Engineering, Universidad Tecnol\u00f3gica de Bol\u00edvar, Cartagena, Colombia"],"affiliations":[{"raw_affiliation_string":"Program of Electrical and Electronic Engineering, Universidad Tecnol\u00f3gica de Bol\u00edvar, Cartagena, Colombia","institution_ids":["https://openalex.org/I141943178"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5091167317"],"corresponding_institution_ids":["https://openalex.org/I141943178"],"apc_list":null,"apc_paid":null,"fwci":1.686,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.84753344,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"67","issue":"8","first_page":"1434","last_page":"1438"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10454","display_name":"Optimal Power Flow Distribution","score":0.9958999752998352,"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/T10454","display_name":"Optimal Power Flow Distribution","score":0.9958999752998352,"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/T11102","display_name":"HVDC Systems and Fault Protection","score":0.9958999752998352,"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":0.9940999746322632,"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/uniqueness","display_name":"Uniqueness","score":0.6668452024459839},{"id":"https://openalex.org/keywords/matlab","display_name":"MATLAB","score":0.5586923956871033},{"id":"https://openalex.org/keywords/power-flow","display_name":"Power flow","score":0.5456529259681702},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4819593131542206},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.48062771558761597},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46211081743240356},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.45658770203590393},{"id":"https://openalex.org/keywords/incidence-matrix","display_name":"Incidence matrix","score":0.4555642604827881},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.421282559633255},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3867478668689728},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.36909300088882446},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3481413722038269},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3480965495109558},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.3267766535282135},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.24514997005462646},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24002698063850403},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.15818554162979126},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1235935389995575}],"concepts":[{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.6668452024459839},{"id":"https://openalex.org/C2780365114","wikidata":"https://www.wikidata.org/wiki/Q169478","display_name":"MATLAB","level":2,"score":0.5586923956871033},{"id":"https://openalex.org/C2986056383","wikidata":"https://www.wikidata.org/wiki/Q556030","display_name":"Power flow","level":4,"score":0.5456529259681702},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4819593131542206},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.48062771558761597},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46211081743240356},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45658770203590393},{"id":"https://openalex.org/C85136909","wikidata":"https://www.wikidata.org/wiki/Q939272","display_name":"Incidence matrix","level":3,"score":0.4555642604827881},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.421282559633255},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3867478668689728},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.36909300088882446},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3481413722038269},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3480965495109558},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.3267766535282135},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.24514997005462646},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24002698063850403},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.15818554162979126},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1235935389995575},{"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"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/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcsii.2019.2937564","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2019.2937564","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:20.500.12585/9511","is_oa":true,"landing_page_url":"http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=8815893&isnumber=9152175","pdf_url":"http://repositorio.utb.edu.co/bitstreams/6d73084f-fb33-48f8-8737-4663791ac013/download","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: 8 , Aug. 2020 )","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:repositorio.utb.edu.co:20.500.12585/9511","is_oa":true,"landing_page_url":"http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=8815893&isnumber=9152175","pdf_url":"http://repositorio.utb.edu.co/bitstreams/6d73084f-fb33-48f8-8737-4663791ac013/download","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: 8 , Aug. 2020 )","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W2970091231.pdf"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W1759197186","https://openalex.org/W1984274792","https://openalex.org/W2058937311","https://openalex.org/W2113282156","https://openalex.org/W2115690016","https://openalex.org/W2288520444","https://openalex.org/W2526316194","https://openalex.org/W2558733382","https://openalex.org/W2621248554","https://openalex.org/W2769725815","https://openalex.org/W2794665582","https://openalex.org/W2796663859","https://openalex.org/W2885017232","https://openalex.org/W2901833978","https://openalex.org/W2906166631","https://openalex.org/W2910606805","https://openalex.org/W2913421766","https://openalex.org/W2914790306","https://openalex.org/W2921539827","https://openalex.org/W2922222830","https://openalex.org/W2960988052","https://openalex.org/W2962709581","https://openalex.org/W2963079424","https://openalex.org/W3106107407"],"related_works":["https://openalex.org/W2045956890","https://openalex.org/W2376912342","https://openalex.org/W2098056421","https://openalex.org/W2359442802","https://openalex.org/W2356303512","https://openalex.org/W3196115447","https://openalex.org/W1926769931","https://openalex.org/W2374509757","https://openalex.org/W3204640338","https://openalex.org/W2798956669"],"abstract_inverted_index":{"This":[0,22],"brief":[1],"explores":[2],"the":[3,6,29,50,55,60,67,77,80,99],"formulation":[4],"of":[5,28,54,79],"power":[7,56],"flow":[8,57],"problem":[9],"in":[10,59,103],"DC":[11,61],"grids":[12],"with":[13,42,86],"a":[14,19,25,43],"classical":[15,87],"incidence":[16],"matrix":[17],"through":[18],"graph-based":[20],"formulation.":[21],"corresponds":[23],"to":[24,37],"compact":[26],"representation":[27],"conventional":[30],"backward/forward":[31],"sweep":[32],"methods,":[33],"which":[34],"is":[35,71,83],"applicable":[36],"radial":[38],"and":[39,52,95],"mesh":[40],"networks":[41],"unique":[44],"voltage":[45],"controlled":[46],"source.":[47],"To":[48],"guarantee":[49],"existence":[51],"uniqueness":[53],"solution":[58,78],"network":[62],"under":[63],"well-defined":[64],"operative":[65],"conditions,":[66],"Banach":[68],"fixed-point":[69],"theorem":[70],"employed.":[72],"Simulation":[73],"results":[74],"confirm":[75],"that":[76],"proposed":[81],"method":[82],"numerically":[84],"comparable":[85],"approaches,":[88],"such":[89],"as":[90],"Gauss-Seidel,":[91],"Newton-Raphson,":[92],"successive":[93],"approximations":[94],"Taylor-based":[96],"methods.":[97],"All":[98],"simulations":[100],"are":[101],"conducted":[102],"MATLAB":[104],"software.":[105]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":7}],"updated_date":"2026-03-09T08:58:05.943551","created_date":"2025-10-10T00:00:00"}
