{"id":"https://openalex.org/W2115690016","doi":"https://doi.org/10.1109/tcsii.2015.2433537","title":"On Resistive Networks of Constant-Power Devices","display_name":"On Resistive Networks of Constant-Power Devices","publication_year":2015,"publication_date":"2015-05-14","ids":{"openalex":"https://openalex.org/W2115690016","doi":"https://doi.org/10.1109/tcsii.2015.2433537","mag":"2115690016"},"language":"en","primary_location":{"id":"doi:10.1109/tcsii.2015.2433537","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2015.2433537","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1503.04769","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"John W. Simpson-Porco","orcid":null},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"John W. Simpson-Porco","raw_affiliation_strings":["Center for Control, Dynamical Systems and Computation, University of California, Santa Barbara, CA, USA"],"affiliations":[{"raw_affiliation_string":"Center for Control, Dynamical Systems and Computation, University of California, Santa Barbara, CA, USA","institution_ids":["https://openalex.org/I154570441"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Florian Dorfler","orcid":null},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]},{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Florian Dorfler","raw_affiliation_strings":["Automatic Control Laboratory, Swiss Federal Institute of Technology (ETH), Zurich, Switzerland"],"affiliations":[{"raw_affiliation_string":"Automatic Control Laboratory, Swiss Federal Institute of Technology (ETH), Zurich, Switzerland","institution_ids":["https://openalex.org/I5124864","https://openalex.org/I35440088"]}]},{"author_position":"last","author":{"id":null,"display_name":"Francesco Bullo","orcid":null},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Francesco Bullo","raw_affiliation_strings":["Center for Control, Dynamical Systems and Computation, University of California, Santa Barbara, CA, USA"],"affiliations":[{"raw_affiliation_string":"Center for Control, Dynamical Systems and Computation, University of California, Santa Barbara, CA, USA","institution_ids":["https://openalex.org/I154570441"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I154570441"],"apc_list":null,"apc_paid":null,"fwci":3.6033,"has_fulltext":false,"cited_by_count":60,"citation_normalized_percentile":{"value":0.93383742,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"62","issue":"8","first_page":"811","last_page":"815"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10502","display_name":"Advanced Memory and Neural Computing","score":0.21860000491142273,"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/T10502","display_name":"Advanced Memory and Neural Computing","score":0.21860000491142273,"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.13120000064373016,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.10499999672174454,"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/resistive-touchscreen","display_name":"Resistive touchscreen","score":0.7301999926567078},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.5796999931335449},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5522000193595886},{"id":"https://openalex.org/keywords/network-analysis","display_name":"Network analysis","score":0.46709999442100525},{"id":"https://openalex.org/keywords/electronic-circuit","display_name":"Electronic circuit","score":0.4634999930858612},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.460999995470047},{"id":"https://openalex.org/keywords/conductance","display_name":"Conductance","score":0.4462999999523163},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.39809998869895935},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.38989999890327454}],"concepts":[{"id":"https://openalex.org/C6899612","wikidata":"https://www.wikidata.org/wiki/Q852911","display_name":"Resistive touchscreen","level":2,"score":0.7301999926567078},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.5796999931335449},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5522000193595886},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.5095000267028809},{"id":"https://openalex.org/C32946077","wikidata":"https://www.wikidata.org/wiki/Q618079","display_name":"Network analysis","level":2,"score":0.46709999442100525},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.4634999930858612},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.460999995470047},{"id":"https://openalex.org/C121932024","wikidata":"https://www.wikidata.org/wiki/Q5159376","display_name":"Conductance","level":2,"score":0.4462999999523163},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.39809998869895935},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.38989999890327454},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.35670000314712524},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.35569998621940613},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.35269999504089355},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.3321000039577484},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32109999656677246},{"id":"https://openalex.org/C202374169","wikidata":"https://www.wikidata.org/wiki/Q124291","display_name":"Electrical conductor","level":2,"score":0.3151000142097473},{"id":"https://openalex.org/C105473148","wikidata":"https://www.wikidata.org/wiki/Q1203451","display_name":"Nodal analysis","level":2,"score":0.3075999915599823},{"id":"https://openalex.org/C196796808","wikidata":"https://www.wikidata.org/wiki/Q132629","display_name":"Electrical network","level":2,"score":0.2953000068664551},{"id":"https://openalex.org/C137488568","wikidata":"https://www.wikidata.org/wiki/Q5321","display_name":"Resistor","level":3,"score":0.28119999170303345},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.2791000008583069},{"id":"https://openalex.org/C530198007","wikidata":"https://www.wikidata.org/wiki/Q80831","display_name":"Integrated circuit","level":2,"score":0.27129998803138733},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.2662999927997589},{"id":"https://openalex.org/C44351266","wikidata":"https://www.wikidata.org/wiki/Q1465532","display_name":"Voltage reference","level":3,"score":0.2639999985694885},{"id":"https://openalex.org/C23572009","wikidata":"https://www.wikidata.org/wiki/Q964981","display_name":"Equivalent circuit","level":3,"score":0.2621000111103058},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.26190000772476196},{"id":"https://openalex.org/C113089479","wikidata":"https://www.wikidata.org/wiki/Q210729","display_name":"Electrical element","level":2,"score":0.2590000033378601},{"id":"https://openalex.org/C88182573","wikidata":"https://www.wikidata.org/wiki/Q1139740","display_name":"High voltage","level":3,"score":0.2554999887943268},{"id":"https://openalex.org/C49040817","wikidata":"https://www.wikidata.org/wiki/Q193091","display_name":"Optoelectronics","level":1,"score":0.25529998540878296},{"id":"https://openalex.org/C148043351","wikidata":"https://www.wikidata.org/wiki/Q4456944","display_name":"Current (fluid)","level":2,"score":0.2529999911785126},{"id":"https://openalex.org/C190560348","wikidata":"https://www.wikidata.org/wiki/Q3245116","display_name":"Circuit design","level":2,"score":0.2517000138759613},{"id":"https://openalex.org/C39394816","wikidata":"https://www.wikidata.org/wiki/Q939318","display_name":"RC circuit","level":4,"score":0.2515999972820282}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcsii.2015.2433537","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2015.2433537","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:arXiv.org:1503.04769","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1503.04769","pdf_url":"https://arxiv.org/pdf/1503.04769","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1503.04769","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1503.04769","pdf_url":"https://arxiv.org/pdf/1503.04769","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1504052325","https://openalex.org/W1587744656","https://openalex.org/W1978832152","https://openalex.org/W1994429314","https://openalex.org/W2029355314","https://openalex.org/W2113612151","https://openalex.org/W2116846721","https://openalex.org/W2119405005","https://openalex.org/W2119589757","https://openalex.org/W2119825325","https://openalex.org/W2121819629","https://openalex.org/W2147448577","https://openalex.org/W2153724273","https://openalex.org/W2160713583","https://openalex.org/W2962910558","https://openalex.org/W4212821273","https://openalex.org/W4242226933"],"related_works":[],"abstract_inverted_index":{"This":[0],"brief":[1],"examines":[2],"the":[3,36,45,64,69,99,102,116,119],"behavior":[4],"of":[5,9,35,71,85,93,122],"DC":[6],"circuits":[7],"comprised":[8],"resistively":[10],"interconnected":[11],"constant-power":[12,24],"devices":[13],"(CPDs),":[14],"as":[15,88],"may":[16],"arise":[17],"in":[18,40],"dc":[19],"microgrids":[20],"containing":[21],"microsources":[22],"and":[23,52,107],"loads.":[25],"We":[26],"derive":[27],"a":[28,41,83,91,111],"sufficient":[29],"condition":[30,62],"for":[31,115],"all":[32],"operating":[33],"points":[34],"circuit":[37,103],"to":[38,74],"lie":[39],"desirable":[42],"set,":[43],"where":[44],"average":[46],"nodal":[47,53],"voltage":[48,113],"level":[49,114],"is":[50],"high,":[51],"voltages":[54],"are":[55],"tightly":[56],"clustered":[57],"near":[58],"one":[59],"another.":[60],"Our":[61],"has":[63],"elegant":[65],"physical":[66],"interpretation":[67],"that":[68],"ratio":[70,92],"resistive":[72],"losses":[73],"total":[75],"injected":[76],"power":[77],"should":[78],"be":[79],"small":[80],"compared":[81],"with":[82],"measure":[84],"network":[86],"heterogeneity,":[87],"quantified":[89],"by":[90],"conductance":[94],"matrix":[95],"eigenvalues.":[96],"Perhaps":[97],"surprisingly,":[98],"interplay":[100],"between":[101],"topology,":[104],"branch":[105],"conductances,":[106],"CPDs":[108],"implicitly":[109],"defines":[110],"nominal":[112],"circuit,":[117],"despite":[118],"explicit":[120],"absence":[121],"voltage-regulated":[123],"nodes.":[124]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":12},{"year":2019,"cited_by_count":12},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2016-06-24T00:00:00"}