{"id":"https://openalex.org/W4284959703","doi":"https://doi.org/10.1145/3531028.3531047","title":"Solvability and Stability Conditions for the Power Flow equation of DC Microgrid under Master-Slave Control","display_name":"Solvability and Stability Conditions for the Power Flow equation of DC Microgrid under Master-Slave Control","publication_year":2022,"publication_date":"2022-03-25","ids":{"openalex":"https://openalex.org/W4284959703","doi":"https://doi.org/10.1145/3531028.3531047"},"language":"en","primary_location":{"id":"doi:10.1145/3531028.3531047","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3531028.3531047","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The 2022 5th International Conference on Electronics, Communications and Control Engineering","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/A5065510749","display_name":"Ziqing Xia","orcid":"https://orcid.org/0000-0001-5071-3445"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ziqing Xia","raw_affiliation_strings":["School of Automation, School of Automation, Central South University, China and Hunan Provincial key Laboratory of Power Electronics Equipment and Gird, Central South University, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Automation, School of Automation, Central South University, China and Hunan Provincial key Laboratory of Power Electronics Equipment and Gird, Central South University, China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076880109","display_name":"Mei Su","orcid":"https://orcid.org/0000-0002-4346-5268"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Mei Su","raw_affiliation_strings":["School of Automation, School of Automation, Central South University, China and Hunan Provincial key Laboratory of Power Electronics Equipment and Gird, Central South University, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Automation, School of Automation, Central South University, China and Hunan Provincial key Laboratory of Power Electronics Equipment and Gird, Central South University, China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004535603","display_name":"Zhangjie Liu","orcid":"https://orcid.org/0000-0001-9594-0502"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhangjie Liu","raw_affiliation_strings":["School of Automation, School of Automation, Central South University, China and Hunan Provincial key Laboratory of Power Electronics Equipment and Gird, Central South University, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Automation, School of Automation, Central South University, China and Hunan Provincial key Laboratory of Power Electronics Equipment and Gird, Central South University, China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108048517","display_name":"Yao Sun","orcid":"https://orcid.org/0000-0002-7268-9201"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yao Sun","raw_affiliation_strings":["School of Automation, School of Automation, Central South University, China and Hunan Provincial key Laboratory of Power Electronics Equipment and Gird, Central South University, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Automation, School of Automation, Central South University, China and Hunan Provincial key Laboratory of Power Electronics Equipment and Gird, Central South University, China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073660632","display_name":"Hua Han","orcid":"https://orcid.org/0000-0001-8318-9336"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hua Han","raw_affiliation_strings":["School of Automation, School of Automation, Central South University, China and Hunan Provincial key Laboratory of Power Electronics Equipment and Gird, Central South University, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Automation, School of Automation, Central South University, China and Hunan Provincial key Laboratory of Power Electronics Equipment and Gird, Central South University, China","institution_ids":["https://openalex.org/I139660479"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I139660479"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07086052,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"116","last_page":"121"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10223","display_name":"Microgrid Control and Optimization","score":0.9998999834060669,"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/T10223","display_name":"Microgrid Control and Optimization","score":0.9998999834060669,"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/T10454","display_name":"Optimal Power Flow Distribution","score":0.9994999766349792,"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/T10603","display_name":"Smart Grid Energy Management","score":0.9976999759674072,"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/correctness","display_name":"Correctness","score":0.7862750887870789},{"id":"https://openalex.org/keywords/microgrid","display_name":"Microgrid","score":0.7301271557807922},{"id":"https://openalex.org/keywords/renewable-energy","display_name":"Renewable energy","score":0.5985926985740662},{"id":"https://openalex.org/keywords/matlab","display_name":"MATLAB","score":0.5776670575141907},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.5770915746688843},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5557719469070435},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5506028532981873},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5247633457183838},{"id":"https://openalex.org/keywords/power-flow","display_name":"Power flow","score":0.5146299600601196},{"id":"https://openalex.org/keywords/power-control","display_name":"Power control","score":0.46142250299453735},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.4561244249343872},{"id":"https://openalex.org/keywords/master/slave","display_name":"Master/slave","score":0.4532717764377594},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45181092619895935},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3926149308681488},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.36091434955596924},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.33163976669311523},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22786542773246765},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.16909706592559814},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.07595214247703552}],"concepts":[{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.7862750887870789},{"id":"https://openalex.org/C2776784348","wikidata":"https://www.wikidata.org/wiki/Q5762595","display_name":"Microgrid","level":3,"score":0.7301271557807922},{"id":"https://openalex.org/C188573790","wikidata":"https://www.wikidata.org/wiki/Q12705","display_name":"Renewable energy","level":2,"score":0.5985926985740662},{"id":"https://openalex.org/C2780365114","wikidata":"https://www.wikidata.org/wiki/Q169478","display_name":"MATLAB","level":2,"score":0.5776670575141907},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.5770915746688843},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5557719469070435},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5506028532981873},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5247633457183838},{"id":"https://openalex.org/C2986056383","wikidata":"https://www.wikidata.org/wiki/Q556030","display_name":"Power flow","level":4,"score":0.5146299600601196},{"id":"https://openalex.org/C56685638","wikidata":"https://www.wikidata.org/wiki/Q2300474","display_name":"Power control","level":3,"score":0.46142250299453735},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.4561244249343872},{"id":"https://openalex.org/C20454292","wikidata":"https://www.wikidata.org/wiki/Q735523","display_name":"Master/slave","level":2,"score":0.4532717764377594},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45181092619895935},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3926149308681488},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.36091434955596924},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.33163976669311523},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22786542773246765},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.16909706592559814},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.07595214247703552},{"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/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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3531028.3531047","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3531028.3531047","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The 2022 5th International Conference on Electronics, Communications and Control Engineering","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8899999856948853,"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":9,"referenced_works":["https://openalex.org/W1542938076","https://openalex.org/W1892166179","https://openalex.org/W2064256147","https://openalex.org/W2284066940","https://openalex.org/W2907908892","https://openalex.org/W3000874785","https://openalex.org/W3167535345","https://openalex.org/W3183453924","https://openalex.org/W4240596267"],"related_works":["https://openalex.org/W1574359403","https://openalex.org/W2057975886","https://openalex.org/W4308700935","https://openalex.org/W4210780382","https://openalex.org/W2356033827","https://openalex.org/W2228521628","https://openalex.org/W4298150702","https://openalex.org/W2952488356","https://openalex.org/W2059756755","https://openalex.org/W2394309799"],"abstract_inverted_index":{"Since":[0],"the":[1,14,32,40,48,54,81,84],"positive":[2],"development":[3],"has":[4],"been":[5],"achieved,":[6],"renewable":[7],"energy":[8,21],"sources":[9],"are":[10],"being":[11],"applied":[12],"in":[13,17,75],"power":[15,28,33,55,73],"system":[16],"order":[18],"to":[19],"meet":[20],"demand.":[22],"The":[23,64],"existence":[24],"of":[25,43,58,83],"a":[26,37],"feasible":[27],"flow":[29,34,56],"solution":[30],"for":[31,39,53,72],"equation":[35,57],"is":[36],"prerequisite":[38],"correct":[41],"operation":[42],"networks.":[44],"This":[45],"paper":[46],"analyzes":[47],"solvability":[49],"and":[50,67,90],"stability":[51],"conditions":[52,68],"DC":[59],"microgrids":[60],"under":[61],"master-slave":[62],"control.":[63],"concise":[65],"analysis":[66],"can":[69],"be":[70],"used":[71],"planning":[74],"residential":[76],"areas.":[77],"Finally,":[78],"we":[79],"verify":[80],"correctness":[82],"presented":[85],"results":[86],"by":[87],"using":[88],"MATLAB":[89],"real-time":[91],"HLL":[92],"test":[93],"based":[94],"on":[95],"OPAL-RT.":[96]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}