{"id":"https://openalex.org/W4400876607","doi":"https://doi.org/10.3390/s24144704","title":"Acoustic Sensors for Monitoring and Localizing Partial Discharge Signals in Oil-Immersed Transformers under Array Configuration","display_name":"Acoustic Sensors for Monitoring and Localizing Partial Discharge Signals in Oil-Immersed Transformers under Array Configuration","publication_year":2024,"publication_date":"2024-07-20","ids":{"openalex":"https://openalex.org/W4400876607","doi":"https://doi.org/10.3390/s24144704","pmid":"https://pubmed.ncbi.nlm.nih.gov/39066101"},"language":"en","primary_location":{"id":"doi:10.3390/s24144704","is_oa":true,"landing_page_url":"https://doi.org/10.3390/s24144704","pdf_url":"https://www.mdpi.com/1424-8220/24/14/4704/pdf?version=1721459232","source":{"id":"https://openalex.org/S101949793","display_name":"Sensors","issn_l":"1424-8220","issn":["1424-8220"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Sensors","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1424-8220/24/14/4704/pdf?version=1721459232","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024122493","display_name":"Yang Wang","orcid":"https://orcid.org/0000-0002-4984-0831"},"institutions":[{"id":"https://openalex.org/I27599042","display_name":"Xi'an Polytechnic University","ror":"https://ror.org/03442p831","country_code":"CN","type":"education","lineage":["https://openalex.org/I27599042"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yang Wang","raw_affiliation_strings":["School of Electronics and Information, Xi\u2019an Polytechnic University, Xi\u2019an 710048, China","School of Electronics and Information, Xi'an Polytechnic University, Xi'an 710048, China"],"raw_orcid":"https://orcid.org/0000-0002-4984-0831","affiliations":[{"raw_affiliation_string":"School of Electronics and Information, Xi\u2019an Polytechnic University, Xi\u2019an 710048, China","institution_ids":["https://openalex.org/I27599042"]},{"raw_affiliation_string":"School of Electronics and Information, Xi'an Polytechnic University, Xi'an 710048, China","institution_ids":["https://openalex.org/I27599042"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109532143","display_name":"Dong Zhao","orcid":null},"institutions":[{"id":"https://openalex.org/I27599042","display_name":"Xi'an Polytechnic University","ror":"https://ror.org/03442p831","country_code":"CN","type":"education","lineage":["https://openalex.org/I27599042"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dong Zhao","raw_affiliation_strings":["School of Electronics and Information, Xi\u2019an Polytechnic University, Xi\u2019an 710048, China","School of Electronics and Information, Xi'an Polytechnic University, Xi'an 710048, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronics and Information, Xi\u2019an Polytechnic University, Xi\u2019an 710048, China","institution_ids":["https://openalex.org/I27599042"]},{"raw_affiliation_string":"School of Electronics and Information, Xi'an Polytechnic University, Xi'an 710048, China","institution_ids":["https://openalex.org/I27599042"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100603131","display_name":"Yonggang Jia","orcid":"https://orcid.org/0000-0003-3858-8404"},"institutions":[{"id":"https://openalex.org/I27599042","display_name":"Xi'an Polytechnic University","ror":"https://ror.org/03442p831","country_code":"CN","type":"education","lineage":["https://openalex.org/I27599042"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yonggang Jia","raw_affiliation_strings":["School of Electronics and Information, Xi\u2019an Polytechnic University, Xi\u2019an 710048, China","School of Electronics and Information, Xi'an Polytechnic University, Xi'an 710048, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronics and Information, Xi\u2019an Polytechnic University, Xi\u2019an 710048, China","institution_ids":["https://openalex.org/I27599042"]},{"raw_affiliation_string":"School of Electronics and Information, Xi'an Polytechnic University, Xi'an 710048, China","institution_ids":["https://openalex.org/I27599042"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113113773","display_name":"Shaocong Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I27599042","display_name":"Xi'an Polytechnic University","ror":"https://ror.org/03442p831","country_code":"CN","type":"education","lineage":["https://openalex.org/I27599042"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shaocong Wang","raw_affiliation_strings":["School of Electronics and Information, Xi\u2019an Polytechnic University, Xi\u2019an 710048, China","School of Electronics and Information, Xi'an Polytechnic University, Xi'an 710048, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronics and Information, Xi\u2019an Polytechnic University, Xi\u2019an 710048, China","institution_ids":["https://openalex.org/I27599042"]},{"raw_affiliation_string":"School of Electronics and Information, Xi'an Polytechnic University, Xi'an 710048, China","institution_ids":["https://openalex.org/I27599042"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048382259","display_name":"Yan Du","orcid":null},"institutions":[{"id":"https://openalex.org/I27599042","display_name":"Xi'an Polytechnic University","ror":"https://ror.org/03442p831","country_code":"CN","type":"education","lineage":["https://openalex.org/I27599042"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yan Du","raw_affiliation_strings":["School of Electronics and Information, Xi\u2019an Polytechnic University, Xi\u2019an 710048, China","School of Electronics and Information, Xi'an Polytechnic University, Xi'an 710048, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronics and Information, Xi\u2019an Polytechnic University, Xi\u2019an 710048, China","institution_ids":["https://openalex.org/I27599042"]},{"raw_affiliation_string":"School of Electronics and Information, Xi'an Polytechnic University, Xi'an 710048, China","institution_ids":["https://openalex.org/I27599042"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101935844","display_name":"Huaqiang Li","orcid":"https://orcid.org/0000-0001-8901-0480"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huaqiang Li","raw_affiliation_strings":["State Key Laboratory of Electrical Insulation and Power Equipment, Xi\u2019an Jiaotong University, Xi\u2019an 710049, China","State Key Laboratory of Electrical Insulation and Power Equipment, Xi'an Jiaotong University, Xi'an 710049, China"],"raw_orcid":"https://orcid.org/0000-0001-8901-0480","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Electrical Insulation and Power Equipment, Xi\u2019an Jiaotong University, Xi\u2019an 710049, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"State Key Laboratory of Electrical Insulation and Power Equipment, Xi'an Jiaotong University, Xi'an 710049, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040470299","display_name":"Bo Zhang","orcid":"https://orcid.org/0000-0003-1710-0860"},"institutions":[{"id":"https://openalex.org/I27599042","display_name":"Xi'an Polytechnic University","ror":"https://ror.org/03442p831","country_code":"CN","type":"education","lineage":["https://openalex.org/I27599042"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Bo Zhang","raw_affiliation_strings":["School of Electronics and Information, Xi\u2019an Polytechnic University, Xi\u2019an 710048, China","School of Electronics and Information, Xi'an Polytechnic University, Xi'an 710048, China"],"raw_orcid":"https://orcid.org/0000-0003-1710-0860","affiliations":[{"raw_affiliation_string":"School of Electronics and Information, Xi\u2019an Polytechnic University, Xi\u2019an 710048, China","institution_ids":["https://openalex.org/I27599042"]},{"raw_affiliation_string":"School of Electronics and Information, Xi'an Polytechnic University, Xi'an 710048, China","institution_ids":["https://openalex.org/I27599042"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5040470299"],"corresponding_institution_ids":["https://openalex.org/I27599042"],"apc_list":{"value":2400,"currency":"CHF","value_usd":2673},"apc_paid":{"value":2400,"currency":"CHF","value_usd":2673},"fwci":1.5782,"has_fulltext":true,"cited_by_count":18,"citation_normalized_percentile":{"value":0.86401653,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"24","issue":"14","first_page":"4704","last_page":"4704"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10511","display_name":"High voltage insulation and dielectric phenomena","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10511","display_name":"High voltage insulation and dielectric phenomena","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11343","display_name":"Power Transformer Diagnostics and Insulation","score":0.9980000257492065,"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/T11609","display_name":"Geophysical Methods and Applications","score":0.9789999723434448,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean 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/partial-discharge","display_name":"Partial discharge","score":0.7250874042510986},{"id":"https://openalex.org/keywords/transformer","display_name":"Transformer","score":0.6880059242248535},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.5893111228942871},{"id":"https://openalex.org/keywords/acoustic-sensor","display_name":"Acoustic sensor","score":0.5674116015434265},{"id":"https://openalex.org/keywords/acoustic-emission","display_name":"Acoustic emission","score":0.5424779653549194},{"id":"https://openalex.org/keywords/sensor-array","display_name":"Sensor array","score":0.44225868582725525},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.43383505940437317},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.36368751525878906},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.35331445932388306},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32616832852363586},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.21576938033103943},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18073830008506775}],"concepts":[{"id":"https://openalex.org/C130143024","wikidata":"https://www.wikidata.org/wiki/Q1929972","display_name":"Partial discharge","level":3,"score":0.7250874042510986},{"id":"https://openalex.org/C66322947","wikidata":"https://www.wikidata.org/wiki/Q11658","display_name":"Transformer","level":3,"score":0.6880059242248535},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.5893111228942871},{"id":"https://openalex.org/C2986501211","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustic sensor","level":2,"score":0.5674116015434265},{"id":"https://openalex.org/C174598085","wikidata":"https://www.wikidata.org/wiki/Q746673","display_name":"Acoustic emission","level":2,"score":0.5424779653549194},{"id":"https://openalex.org/C66251956","wikidata":"https://www.wikidata.org/wiki/Q7451086","display_name":"Sensor array","level":2,"score":0.44225868582725525},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.43383505940437317},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.36368751525878906},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.35331445932388306},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32616832852363586},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.21576938033103943},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18073830008506775},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3390/s24144704","is_oa":true,"landing_page_url":"https://doi.org/10.3390/s24144704","pdf_url":"https://www.mdpi.com/1424-8220/24/14/4704/pdf?version=1721459232","source":{"id":"https://openalex.org/S101949793","display_name":"Sensors","issn_l":"1424-8220","issn":["1424-8220"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Sensors","raw_type":"journal-article"},{"id":"pmid:39066101","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/39066101","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Sensors (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:pubmedcentral.nih.gov:11281205","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/11281205","pdf_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC11281205/pdf/sensors-24-04704.pdf","source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Sensors (Basel)","raw_type":"Text"},{"id":"pmh:oai:doaj.org/article:e46c53f9d8e14ac49e6f9d8e11d9e3bc","is_oa":true,"landing_page_url":"https://doaj.org/article/e46c53f9d8e14ac49e6f9d8e11d9e3bc","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Sensors, Vol 24, Iss 14, p 4704 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/s24144704","is_oa":true,"landing_page_url":"https://doi.org/10.3390/s24144704","pdf_url":"https://www.mdpi.com/1424-8220/24/14/4704/pdf?version=1721459232","source":{"id":"https://openalex.org/S101949793","display_name":"Sensors","issn_l":"1424-8220","issn":["1424-8220"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Sensors","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2463421498","display_name":null,"funder_award_id":"2024GX-YBXM-521","funder_id":"https://openalex.org/F4320336350","funder_display_name":"Key Research and Development Projects of Shaanxi Province"}],"funders":[{"id":"https://openalex.org/F4320336350","display_name":"Key Research and Development Projects of Shaanxi Province","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4400876607.pdf","grobid_xml":"https://content.openalex.org/works/W4400876607.grobid-xml"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W1989414076","https://openalex.org/W1991397907","https://openalex.org/W2002610002","https://openalex.org/W2020865134","https://openalex.org/W2106307587","https://openalex.org/W2140785014","https://openalex.org/W2155176760","https://openalex.org/W2482584425","https://openalex.org/W2593067946","https://openalex.org/W2596688947","https://openalex.org/W2605793499","https://openalex.org/W2610214005","https://openalex.org/W2789995919","https://openalex.org/W2790259478","https://openalex.org/W2791903243","https://openalex.org/W2799290419","https://openalex.org/W2904439921","https://openalex.org/W2920852821","https://openalex.org/W2922069803","https://openalex.org/W2971700386","https://openalex.org/W2982323410","https://openalex.org/W3045145714","https://openalex.org/W3046947705","https://openalex.org/W3090184376","https://openalex.org/W3103876109","https://openalex.org/W3200421338","https://openalex.org/W4283729156","https://openalex.org/W4285287079","https://openalex.org/W4308349419","https://openalex.org/W4365140853","https://openalex.org/W4396667105"],"related_works":["https://openalex.org/W2393409683","https://openalex.org/W4282008660","https://openalex.org/W2393097294","https://openalex.org/W2834849852","https://openalex.org/W2955994650","https://openalex.org/W2536936696","https://openalex.org/W2016042781","https://openalex.org/W2066632781","https://openalex.org/W2294135824","https://openalex.org/W2353103607"],"abstract_inverted_index":{"Partial":[0],"discharge":[1,66,179],"(PD)":[2],"is":[3],"one":[4],"of":[5,9,19,26,42,52,64,82,95,104,117,120,137,163,171,177,217],"the":[6,23,27,40,43,47,59,62,79,96,100,151,160,175,178,186,215,218,222],"major":[7],"causes":[8],"insulation":[10],"accidents":[11],"in":[12,58,150,212,239],"oil-immersed":[13,97],"transformers,":[14,213],"generating":[15],"a":[16,55,74,92,169,231],"large":[17],"number":[18],"signals":[20,32,116,130],"that":[21],"represent":[22],"health":[24],"status":[25],"transformer.":[28],"In":[29],"particular,":[30],"acoustic":[31,129,144],"can":[33],"be":[34],"detected":[35],"by":[36,122],"sensors":[37,53],"to":[38,90,113,127,167],"locate":[39],"source":[41],"partial":[44,65],"discharge.":[45],"However,":[46],"array,":[48],"type,":[49],"and":[50,99,134,143,226],"quantity":[51],"play":[54],"crucial":[56],"role":[57],"research":[60],"on":[61],"localization":[63,81,228],"sources":[67,84],"within":[68,205],"transformers.":[69,240],"Hence,":[70],"this":[71],"paper":[72],"proposes":[73],"novel":[75],"sensor":[76,224],"array":[77,225],"for":[78,209,235],"specific":[80],"PD":[83,121],"using":[85,189],"COMSOL":[86],"Multiphysics":[87],"software":[88],"6.1":[89],"establish":[91],"three-dimensional":[93],"model":[94,114],"transformer":[98],"different":[101,118,132],"defect":[102],"types":[103,119,133],"two-dimensional":[105],"models.":[106],"\"Electric-force-acoustic\"":[107],"multiphysics":[108],"field":[109],"simulations":[110],"were":[111,148,156,183],"conducted":[112],"ultrasonic":[115],"setting":[123],"up":[124],"detection":[125],"points":[126],"collect":[128],"at":[131],"temperatures":[135],"instead":[136],"physical":[138],"sensors.":[139],"Subsequently,":[140],"simulated":[141],"waveforms":[142],"spatial":[145,198],"distribution":[146],"maps":[147],"acquired":[149],"software.":[152],"These":[153],"simulation":[154],"results":[155],"then":[157],"combined":[158],"with":[159,185,195],"time":[161],"difference":[162],"arrival":[164],"(TDOA)":[165],"algorithm":[166,193],"solve":[168],"system":[170],"equations,":[172],"ultimately":[173],"yielding":[174],"position":[176],"source.":[180],"Calculated":[181],"positions":[182,188],"compared":[184],"actual":[187],"an":[190,196,206],"error":[191,199],"iterative":[192],"method,":[194],"average":[197],"about":[200],"1.3":[201],"cm,":[202],"which":[203],"falls":[204],"acceptable":[207],"range":[208],"fault":[210,236],"diagnosis":[211,237],"validating":[214],"accuracy":[216],"proposed":[219],"method.":[220],"Therefore,":[221],"presented":[223],"computational":[227],"method":[229],"offer":[230],"reliable":[232],"theoretical":[233],"basis":[234],"techniques":[238]},"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":12}],"updated_date":"2026-08-18T07:49:30.821534","created_date":"2025-10-10T00:00:00"}
