{"id":"https://openalex.org/W4417143424","doi":"https://doi.org/10.48550/arxiv.2512.05780","title":"Pauli Decomposition of Impedance Matrices for Understanding the Root Cause of Instabilities in Grid-Connected Power Electronic Converters","display_name":"Pauli Decomposition of Impedance Matrices for Understanding the Root Cause of Instabilities in Grid-Connected Power Electronic Converters","publication_year":2025,"publication_date":"2025-12-05","ids":{"openalex":"https://openalex.org/W4417143424","doi":"https://doi.org/10.48550/arxiv.2512.05780"},"language":null,"primary_location":{"id":"pmh:oai:arXiv.org:2512.05780","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2512.05780","pdf_url":"https://arxiv.org/pdf/2512.05780","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"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":null,"raw_type":"text"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2512.05780","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066570472","display_name":"Josu\u00e9 Andino","orcid":"https://orcid.org/0000-0001-8349-0962"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Andino, Josue","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055836013","display_name":"Milan Prodanovi\u0107","orcid":"https://orcid.org/0000-0001-5500-9799"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Prodanovic, Milan","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5057127131","display_name":"Javier Rold\u00e1n\u2010P\u00e9rez","orcid":"https://orcid.org/0000-0002-9759-4006"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Roldan-Perez, Javier","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5066570472"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10223","display_name":"Microgrid Control and Optimization","score":0.9139000177383423,"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":0.9139000177383423,"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/T11102","display_name":"HVDC Systems and Fault Protection","score":0.038100000470876694,"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/T10305","display_name":"Power System Optimization and Stability","score":0.009499999694526196,"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/electrical-impedance","display_name":"Electrical impedance","score":0.73580002784729},{"id":"https://openalex.org/keywords/admittance","display_name":"Admittance","score":0.695900022983551},{"id":"https://openalex.org/keywords/impedance-parameters","display_name":"Impedance parameters","score":0.5763000249862671},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5568000078201294},{"id":"https://openalex.org/keywords/output-impedance","display_name":"Output impedance","score":0.5224999785423279},{"id":"https://openalex.org/keywords/root-cause","display_name":"Root cause","score":0.5105000138282776},{"id":"https://openalex.org/keywords/quarter-wave-impedance-transformer","display_name":"Quarter-wave impedance transformer","score":0.49549999833106995},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.47200000286102295},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.46050000190734863}],"concepts":[{"id":"https://openalex.org/C17829176","wikidata":"https://www.wikidata.org/wiki/Q179043","display_name":"Electrical impedance","level":2,"score":0.73580002784729},{"id":"https://openalex.org/C108811297","wikidata":"https://www.wikidata.org/wiki/Q214518","display_name":"Admittance","level":3,"score":0.695900022983551},{"id":"https://openalex.org/C113805353","wikidata":"https://www.wikidata.org/wiki/Q13424600","display_name":"Impedance parameters","level":3,"score":0.5763000249862671},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5568000078201294},{"id":"https://openalex.org/C58112919","wikidata":"https://www.wikidata.org/wiki/Q631203","display_name":"Output impedance","level":3,"score":0.5224999785423279},{"id":"https://openalex.org/C84945661","wikidata":"https://www.wikidata.org/wiki/Q7366567","display_name":"Root cause","level":2,"score":0.5105000138282776},{"id":"https://openalex.org/C61343755","wikidata":"https://www.wikidata.org/wiki/Q7269245","display_name":"Quarter-wave impedance transformer","level":5,"score":0.49549999833106995},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.47200000286102295},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.46050000190734863},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.45419999957084656},{"id":"https://openalex.org/C178911571","wikidata":"https://www.wikidata.org/wiki/Q593143","display_name":"Power electronics","level":3,"score":0.42989999055862427},{"id":"https://openalex.org/C178076193","wikidata":"https://www.wikidata.org/wiki/Q6124455","display_name":"Immittance","level":2,"score":0.4221999943256378},{"id":"https://openalex.org/C2778422915","wikidata":"https://www.wikidata.org/wiki/Q10302051","display_name":"Converters","level":3,"score":0.4074000120162964},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4002000093460083},{"id":"https://openalex.org/C110340908","wikidata":"https://www.wikidata.org/wiki/Q131594","display_name":"Pauli exclusion principle","level":2,"score":0.3937000036239624},{"id":"https://openalex.org/C155065438","wikidata":"https://www.wikidata.org/wiki/Q6002234","display_name":"Image impedance","level":5,"score":0.3856000006198883},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.38199999928474426},{"id":"https://openalex.org/C171078966","wikidata":"https://www.wikidata.org/wiki/Q111029","display_name":"Root (linguistics)","level":2,"score":0.37560001015663147},{"id":"https://openalex.org/C612350","wikidata":"https://www.wikidata.org/wiki/Q1761108","display_name":"Impedance matching","level":3,"score":0.37059998512268066},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.3416000008583069},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.34130001068115234},{"id":"https://openalex.org/C174268685","wikidata":"https://www.wikidata.org/wiki/Q769127","display_name":"High impedance","level":3,"score":0.3409000039100647},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3353999853134155},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.3343000113964081},{"id":"https://openalex.org/C172674978","wikidata":"https://www.wikidata.org/wiki/Q1164612","display_name":"Characteristic impedance","level":3,"score":0.3328000009059906},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.32659998536109924},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.3167000114917755},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.3109000027179718},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.30790001153945923},{"id":"https://openalex.org/C133833761","wikidata":"https://www.wikidata.org/wiki/Q16001847","display_name":"Admittance parameters","level":3,"score":0.2964000105857849},{"id":"https://openalex.org/C7729237","wikidata":"https://www.wikidata.org/wiki/Q1724261","display_name":"Negative impedance converter","level":4,"score":0.26159998774528503},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.25699999928474426},{"id":"https://openalex.org/C64424096","wikidata":"https://www.wikidata.org/wiki/Q750454","display_name":"Power factor","level":3,"score":0.25369998812675476}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2512.05780","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2512.05780","pdf_url":"https://arxiv.org/pdf/2512.05780","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"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":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2512.05780","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2512.05780","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2512.05780","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2512.05780","pdf_url":"https://arxiv.org/pdf/2512.05780","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"The":[0,63,100],"impedance":[1,24,52,73,84],"criterion":[2],"has":[3,121],"emerged":[4],"as":[5],"an":[6],"alternative":[7],"way":[8],"to":[9,31,50,93,116],"stability":[10,78],"assessment":[11],"of":[12,20,23,36,47,58,65,98,110],"grid-connected":[13,59],"power":[14,60,112],"electronic":[15,61,113],"converters.":[16,62],"However,":[17],"the":[18,29,33,45,51,55,70,95,126],"lack":[19],"physical":[21],"meaning":[22],"and":[25,54,76],"admittance":[26],"matrices":[27,53,85],"hinders":[28],"ability":[30],"understand":[32],"root":[34,96],"cause":[35,97],"instabilities.":[37,99],"To":[38],"address":[39],"this":[40,42,66],"issue,":[41],"paper":[43],"proposes":[44],"application":[46,64],"Pauli":[48,81],"decomposition":[49,82],"minor":[56],"loop":[57],"methodology":[67],"simplifies":[68],"establishing":[69],"link":[71],"between":[72],"matrix":[74],"terms":[75],"closed-loop":[77],"properties.":[79],"Moreover,":[80],"transforms":[83],"in":[86,125],"a":[87,106,111,117],"quaternion-like":[88],"form":[89],"that":[90,120],"is":[91],"helpful":[92],"assess":[94],"theoretical":[101],"contributions":[102],"are":[103],"validated":[104],"using":[105,128],"case":[107],"study":[108],"consisting":[109],"converter":[114],"connected":[115],"weak":[118],"grid":[119],"been":[122],"previously":[123],"analysed":[124],"literature":[127],"existing":[129],"techniques.":[130]},"counts_by_year":[],"updated_date":"2026-03-07T16:01:11.037858","created_date":"2025-12-09T00:00:00"}