{"id":"https://openalex.org/W3135414657","doi":"https://doi.org/10.1109/tim.2021.3063758","title":"Macromodeling of Mutual Inductance for Displaced Coils Based on Laplace\u2019s Equation","display_name":"Macromodeling of Mutual Inductance for Displaced Coils Based on Laplace\u2019s Equation","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3135414657","doi":"https://doi.org/10.1109/tim.2021.3063758","mag":"3135414657"},"language":"en","primary_location":{"id":"doi:10.1109/tim.2021.3063758","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tim.2021.3063758","pdf_url":null,"source":{"id":"https://openalex.org/S10892749","display_name":"IEEE Transactions on Instrumentation and Measurement","issn_l":"0018-9456","issn":["0018-9456","1557-9662"],"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 Instrumentation and Measurement","raw_type":"journal-article"},"type":"article","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/A5007568797","display_name":"Harry Weber","orcid":"https://orcid.org/0000-0002-3088-5757"},"institutions":[{"id":"https://openalex.org/I454632","display_name":"Hella (Germany)","ror":"https://ror.org/02c5z9p32","country_code":"DE","type":"company","lineage":["https://openalex.org/I454632"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Harry Weber","raw_affiliation_strings":["Hella GmbH & Co. KGaA, Lippstadt, Germany"],"raw_orcid":"https://orcid.org/0000-0002-3088-5757","affiliations":[{"raw_affiliation_string":"Hella GmbH & Co. KGaA, Lippstadt, Germany","institution_ids":["https://openalex.org/I454632"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044938935","display_name":"Harun Baran","orcid":"https://orcid.org/0000-0002-9872-3244"},"institutions":[{"id":"https://openalex.org/I454632","display_name":"Hella (Germany)","ror":"https://ror.org/02c5z9p32","country_code":"DE","type":"company","lineage":["https://openalex.org/I454632"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Harun Baran","raw_affiliation_strings":["Hella GmbH & Co. KGaA, Lippstadt, Germany"],"raw_orcid":"https://orcid.org/0000-0002-9872-3244","affiliations":[{"raw_affiliation_string":"Hella GmbH & Co. KGaA, Lippstadt, Germany","institution_ids":["https://openalex.org/I454632"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026296734","display_name":"Fabian Utermohlen","orcid":"https://orcid.org/0000-0002-2684-4223"},"institutions":[{"id":"https://openalex.org/I454632","display_name":"Hella (Germany)","ror":"https://ror.org/02c5z9p32","country_code":"DE","type":"company","lineage":["https://openalex.org/I454632"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Fabian Utermohlen","raw_affiliation_strings":["Hella GmbH & Co. KGaA, Lippstadt, Germany"],"raw_orcid":"https://orcid.org/0000-0002-2684-4223","affiliations":[{"raw_affiliation_string":"Hella GmbH & Co. KGaA, Lippstadt, Germany","institution_ids":["https://openalex.org/I454632"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078436847","display_name":"Christian Schuster","orcid":"https://orcid.org/0000-0003-4019-0788"},"institutions":[{"id":"https://openalex.org/I159176309","display_name":"Universit\u00e4t Hamburg","ror":"https://ror.org/00g30e956","country_code":"DE","type":"education","lineage":["https://openalex.org/I159176309"]},{"id":"https://openalex.org/I884043246","display_name":"Hamburg University of Technology","ror":"https://ror.org/04bs1pb34","country_code":"DE","type":"education","lineage":["https://openalex.org/I884043246"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Christian Schuster","raw_affiliation_strings":["Institut f\u00fcr Theoretische Elektrotechnik, Hamburg University of Technology (TUHH), Hamburg, Germany"],"raw_orcid":"https://orcid.org/0000-0003-4019-0788","affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Theoretische Elektrotechnik, Hamburg University of Technology (TUHH), Hamburg, Germany","institution_ids":["https://openalex.org/I159176309","https://openalex.org/I884043246"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3207,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.58832571,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"70","issue":null,"first_page":"1","last_page":"11"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12564","display_name":"Sensor Technology and Measurement Systems","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12564","display_name":"Sensor Technology and Measurement Systems","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12692","display_name":"Magnetic Field Sensors Techniques","score":0.9994000196456909,"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/T11249","display_name":"Wireless Power Transfer Systems","score":0.9962000250816345,"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/inductance","display_name":"Inductance","score":0.8984816074371338},{"id":"https://openalex.org/keywords/electromagnetic-coil","display_name":"Electromagnetic coil","score":0.640004575252533},{"id":"https://openalex.org/keywords/position","display_name":"Position (finance)","score":0.6295430660247803},{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.5483267903327942},{"id":"https://openalex.org/keywords/equivalent-series-inductance","display_name":"Equivalent series inductance","score":0.5272608995437622},{"id":"https://openalex.org/keywords/laplaces-equation","display_name":"Laplace's equation","score":0.45349985361099243},{"id":"https://openalex.org/keywords/inductive-coupling","display_name":"Inductive coupling","score":0.41820746660232544},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.41222256422042847},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.36817073822021484},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3652147650718689},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.36435407400131226},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3627547025680542},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3485145568847656},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2792626619338989},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.27277684211730957},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.2464054822921753},{"id":"https://openalex.org/keywords/mechanical-engineering","display_name":"Mechanical engineering","score":0.16895613074302673},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.11719745397567749},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.10537835955619812}],"concepts":[{"id":"https://openalex.org/C29210110","wikidata":"https://www.wikidata.org/wiki/Q177897","display_name":"Inductance","level":3,"score":0.8984816074371338},{"id":"https://openalex.org/C30403606","wikidata":"https://www.wikidata.org/wiki/Q2981904","display_name":"Electromagnetic coil","level":2,"score":0.640004575252533},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.6295430660247803},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.5483267903327942},{"id":"https://openalex.org/C141490761","wikidata":"https://www.wikidata.org/wiki/Q5384728","display_name":"Equivalent series inductance","level":4,"score":0.5272608995437622},{"id":"https://openalex.org/C70615421","wikidata":"https://www.wikidata.org/wiki/Q339444","display_name":"Laplace's equation","level":3,"score":0.45349985361099243},{"id":"https://openalex.org/C177872590","wikidata":"https://www.wikidata.org/wiki/Q1498289","display_name":"Inductive coupling","level":2,"score":0.41820746660232544},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.41222256422042847},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.36817073822021484},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3652147650718689},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.36435407400131226},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3627547025680542},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3485145568847656},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2792626619338989},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.27277684211730957},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.2464054822921753},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.16895613074302673},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.11719745397567749},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.10537835955619812},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tim.2021.3063758","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tim.2021.3063758","pdf_url":null,"source":{"id":"https://openalex.org/S10892749","display_name":"IEEE Transactions on Instrumentation and Measurement","issn_l":"0018-9456","issn":["0018-9456","1557-9662"],"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 Instrumentation and Measurement","raw_type":"journal-article"},{"id":"pmh:oai:tore.tuhh.de:11420/9355","is_oa":false,"landing_page_url":"http://hdl.handle.net/11420/9355","pdf_url":null,"source":{"id":"https://openalex.org/S4306401751","display_name":"tub.dok (Hamburg University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I884043246","host_organization_name":"Hamburg University of Technology","host_organization_lineage":["https://openalex.org/I884043246"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W592715486","https://openalex.org/W654816229","https://openalex.org/W1512544923","https://openalex.org/W1997165277","https://openalex.org/W2005047195","https://openalex.org/W2041566176","https://openalex.org/W2068785929","https://openalex.org/W2083865153","https://openalex.org/W2084511781","https://openalex.org/W2122634784","https://openalex.org/W2131792828","https://openalex.org/W2167995085","https://openalex.org/W2292225241","https://openalex.org/W2320069399","https://openalex.org/W2528814683","https://openalex.org/W2564699283","https://openalex.org/W2568433663","https://openalex.org/W2643801868","https://openalex.org/W2808218589","https://openalex.org/W2938525079","https://openalex.org/W2961722276","https://openalex.org/W2983592734","https://openalex.org/W3015647500","https://openalex.org/W4229885360","https://openalex.org/W4240549567","https://openalex.org/W4302078340","https://openalex.org/W6892329329"],"related_works":["https://openalex.org/W2162173402","https://openalex.org/W2392166513","https://openalex.org/W2356353717","https://openalex.org/W1782182705","https://openalex.org/W2765984267","https://openalex.org/W3130749339","https://openalex.org/W3008144595","https://openalex.org/W2090910792","https://openalex.org/W4386072008","https://openalex.org/W2898449867"],"abstract_inverted_index":{"Magnetic":[0],"coupling":[1,21],"is":[2,22,30,56,70,120,126,159,205],"applied":[3,107,213],"in":[4,32,60,187,214],"a":[5,23,37,40,66,78,88,92,133,141,152,156],"vast":[6],"of":[7,45,53,57,91,94,116,135,166,175,193,202,224],"different":[8,208],"applications":[9,218],"like":[10],"sensors":[11],"or":[12,190],"medical":[13],"imaging.":[14],"Especially":[15],"for":[16,108,132,155,196,207],"inductive":[17],"position":[18,28,52,90,174],"sensors,":[19],"magnetic":[20],"main":[24],"aspect.":[25],"Hereby,":[26],"the":[27,33,43,50,82,99,102,117,129,164,167,172,176,194,200,203,221,225],"information":[29],"coded":[31],"mutual":[34,46,83,118,130,168],"inductance":[35,47,84,119,131,169],"between":[36],"coil":[38,110,209],"and":[39,216],"target.":[41],"Consequently,":[42],"change":[44],"according":[48],"to":[49,76,87,98,219],"relative":[51,89,173],"coupled":[54],"coils":[55,136],"special":[58],"interest":[59],"such":[61],"applications.":[62],"In":[63,96],"this":[64,123,179],"contribution,":[65],"new":[67],"generalized":[68],"method":[69,104],"presented":[71,103,206,226],"which":[72,161,211],"can":[73,105,137,184],"be":[74,106,138,185],"used":[75],"derive":[77],"macro":[79,157,180],"model":[80,158],"describing":[81],"with":[85],"respect":[86],"pair":[93,134],"coils.":[95,177],"contrast":[97],"known":[100],"procedures,":[101],"complex":[109],"geometries":[111],"since":[112],"no":[113],"analytic":[114],"solution":[115],"necessary.":[121],"For":[122,198],"purpose,":[124],"it":[125],"utilized":[127],"that":[128,144],"treated":[139],"as":[140],"potential":[142],"function":[143],"obeys":[145],"Laplace\u2019s":[146,150],"equation.":[147],"By":[148],"solving":[149],"equation,":[151],"physics-based":[153],"approach":[154],"derived,":[160],"explicitly":[162],"describes":[163],"behavior":[165],"based":[170],"on":[171],"With":[178],"model,":[181],"further":[182],"analysis":[183,192],"performed":[186],"circuit":[188],"design":[189],"performance":[191],"sensor":[195],"example.":[197],"evaluation,":[199],"accuracy":[201],"procedure":[204],"geometries,":[210],"are":[212],"industrial":[215],"biomedical":[217],"emphasize":[220],"broad":[222],"applicability":[223],"method.":[227]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}