{"id":"https://openalex.org/W4399973100","doi":"https://doi.org/10.1186/s42162-024-00353-z","title":"Gossen\u2019s first law in the modeling for demand side management: a thorough heat pump case study with deep learning based partial time series data generation","display_name":"Gossen\u2019s first law in the modeling for demand side management: a thorough heat pump case study with deep learning based partial time series data generation","publication_year":2024,"publication_date":"2024-06-24","ids":{"openalex":"https://openalex.org/W4399973100","doi":"https://doi.org/10.1186/s42162-024-00353-z"},"language":"en","primary_location":{"id":"doi:10.1186/s42162-024-00353-z","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1186/s42162-024-00353-z","pdf_url":"https://link.springer.com/content/pdf/10.1186/s42162-024-00353-z.pdf","source":{"id":"https://openalex.org/S3035173479","display_name":"Energy Informatics","issn_l":"2520-8942","issn":["2520-8942"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Energy Informatics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://link.springer.com/content/pdf/10.1186/s42162-024-00353-z.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101843726","display_name":"Li Chang","orcid":"https://orcid.org/0009-0001-7694-6367"},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Chang Li","raw_affiliation_strings":["Institute for Automation and Applied Informatics, Karlsruhe Institute of Technology, Hermann-von-Helmholtz-Platz 1, Eggenstein-Leopoldshafen, 76344, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Automation and Applied Informatics, Karlsruhe Institute of Technology, Hermann-von-Helmholtz-Platz 1, Eggenstein-Leopoldshafen, 76344, Germany","institution_ids":["https://openalex.org/I102335020"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111633519","display_name":"G. Brecher","orcid":null},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Gina Brecher","raw_affiliation_strings":["Institute for Automation and Applied Informatics, Karlsruhe Institute of Technology, Hermann-von-Helmholtz-Platz 1, Eggenstein-Leopoldshafen, 76344, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Automation and Applied Informatics, Karlsruhe Institute of Technology, Hermann-von-Helmholtz-Platz 1, Eggenstein-Leopoldshafen, 76344, Germany","institution_ids":["https://openalex.org/I102335020"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076714586","display_name":"Jovana Kova\u010devi\u0107","orcid":"https://orcid.org/0000-0003-1254-4294"},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Jovana Kova\u010devi\u0107","raw_affiliation_strings":["Institute for Automation and Applied Informatics, Karlsruhe Institute of Technology, Hermann-von-Helmholtz-Platz 1, Eggenstein-Leopoldshafen, 76344, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Automation and Applied Informatics, Karlsruhe Institute of Technology, Hermann-von-Helmholtz-Platz 1, Eggenstein-Leopoldshafen, 76344, Germany","institution_ids":["https://openalex.org/I102335020"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072839884","display_name":"H\u00fcseyin \u00c7akmak","orcid":"https://orcid.org/0000-0002-1463-7606"},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"H\u00fcseyin K. \u00c7akmak","raw_affiliation_strings":["Institute for Automation and Applied Informatics, Karlsruhe Institute of Technology, Hermann-von-Helmholtz-Platz 1, Eggenstein-Leopoldshafen, 76344, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Automation and Applied Informatics, Karlsruhe Institute of Technology, Hermann-von-Helmholtz-Platz 1, Eggenstein-Leopoldshafen, 76344, Germany","institution_ids":["https://openalex.org/I102335020"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066643183","display_name":"Kevin F\u00f6rderer","orcid":"https://orcid.org/0000-0002-9115-670X"},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Kevin F\u00f6rderer","raw_affiliation_strings":["Institute for Automation and Applied Informatics, Karlsruhe Institute of Technology, Hermann-von-Helmholtz-Platz 1, Eggenstein-Leopoldshafen, 76344, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Automation and Applied Informatics, Karlsruhe Institute of Technology, Hermann-von-Helmholtz-Platz 1, Eggenstein-Leopoldshafen, 76344, Germany","institution_ids":["https://openalex.org/I102335020"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058149901","display_name":"J\u00f6rg Matthes","orcid":"https://orcid.org/0000-0002-0963-6000"},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"J\u00f6rg Matthes","raw_affiliation_strings":["Institute for Automation and Applied Informatics, Karlsruhe Institute of Technology, Hermann-von-Helmholtz-Platz 1, Eggenstein-Leopoldshafen, 76344, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Automation and Applied Informatics, Karlsruhe Institute of Technology, Hermann-von-Helmholtz-Platz 1, Eggenstein-Leopoldshafen, 76344, Germany","institution_ids":["https://openalex.org/I102335020"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014228448","display_name":"Veit Hagenmeyer","orcid":"https://orcid.org/0000-0002-3572-9083"},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Veit Hagenmeyer","raw_affiliation_strings":["Institute for Automation and Applied Informatics, Karlsruhe Institute of Technology, Hermann-von-Helmholtz-Platz 1, Eggenstein-Leopoldshafen, 76344, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Automation and Applied Informatics, Karlsruhe Institute of Technology, Hermann-von-Helmholtz-Platz 1, Eggenstein-Leopoldshafen, 76344, Germany","institution_ids":["https://openalex.org/I102335020"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5101843726"],"corresponding_institution_ids":["https://openalex.org/I102335020"],"apc_list":{"value":790,"currency":"GBP","value_usd":969},"apc_paid":{"value":790,"currency":"GBP","value_usd":969},"fwci":0.1911,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.47642573,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"7","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11052","display_name":"Energy Load and Power Forecasting","score":0.9977999925613403,"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/T11052","display_name":"Energy Load and Power Forecasting","score":0.9977999925613403,"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/T12205","display_name":"Time Series Analysis and Forecasting","score":0.9909999966621399,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T10603","display_name":"Smart Grid Energy Management","score":0.9868000149726868,"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/demand-side","display_name":"Demand side","score":0.6661481857299805},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.5221417546272278},{"id":"https://openalex.org/keywords/time-series","display_name":"Time series","score":0.44203710556030273},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43766576051712036},{"id":"https://openalex.org/keywords/deep-learning","display_name":"Deep learning","score":0.4214913845062256},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3464609980583191},{"id":"https://openalex.org/keywords/data-science","display_name":"Data science","score":0.34551769495010376},{"id":"https://openalex.org/keywords/industrial-engineering","display_name":"Industrial engineering","score":0.3319302797317505},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.3303629755973816},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.25639864802360535},{"id":"https://openalex.org/keywords/environmental-economics","display_name":"Environmental economics","score":0.20507687330245972},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.19747740030288696},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.13364773988723755}],"concepts":[{"id":"https://openalex.org/C3020254827","wikidata":"https://www.wikidata.org/wiki/Q5255016","display_name":"Demand side","level":2,"score":0.6661481857299805},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.5221417546272278},{"id":"https://openalex.org/C151406439","wikidata":"https://www.wikidata.org/wiki/Q186588","display_name":"Time series","level":2,"score":0.44203710556030273},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43766576051712036},{"id":"https://openalex.org/C108583219","wikidata":"https://www.wikidata.org/wiki/Q197536","display_name":"Deep learning","level":2,"score":0.4214913845062256},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3464609980583191},{"id":"https://openalex.org/C2522767166","wikidata":"https://www.wikidata.org/wiki/Q2374463","display_name":"Data science","level":1,"score":0.34551769495010376},{"id":"https://openalex.org/C13736549","wikidata":"https://www.wikidata.org/wiki/Q4489420","display_name":"Industrial engineering","level":1,"score":0.3319302797317505},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.3303629755973816},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.25639864802360535},{"id":"https://openalex.org/C134560507","wikidata":"https://www.wikidata.org/wiki/Q753291","display_name":"Environmental economics","level":1,"score":0.20507687330245972},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.19747740030288696},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.13364773988723755},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1186/s42162-024-00353-z","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1186/s42162-024-00353-z","pdf_url":"https://link.springer.com/content/pdf/10.1186/s42162-024-00353-z.pdf","source":{"id":"https://openalex.org/S3035173479","display_name":"Energy Informatics","issn_l":"2520-8942","issn":["2520-8942"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Energy Informatics","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:8fa3b9fe181140e9bf2aefa9e01e6040","is_oa":true,"landing_page_url":"https://doaj.org/article/8fa3b9fe181140e9bf2aefa9e01e6040","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":"Energy Informatics, Vol 7, Iss 1, Pp 1-18 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1186/s42162-024-00353-z","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1186/s42162-024-00353-z","pdf_url":"https://link.springer.com/content/pdf/10.1186/s42162-024-00353-z.pdf","source":{"id":"https://openalex.org/S3035173479","display_name":"Energy Informatics","issn_l":"2520-8942","issn":["2520-8942"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Energy Informatics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4580602329","display_name":null,"funder_award_id":"37.12.02","funder_id":"https://openalex.org/F4320325698","funder_display_name":"Helmholtz Association"}],"funders":[{"id":"https://openalex.org/F4320325698","display_name":"Helmholtz Association","ror":null}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4399973100.pdf"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W1938740575","https://openalex.org/W1977185509","https://openalex.org/W1995696058","https://openalex.org/W2005526897","https://openalex.org/W2005621669","https://openalex.org/W2062334030","https://openalex.org/W2074817043","https://openalex.org/W2125937575","https://openalex.org/W2146654490","https://openalex.org/W2148672604","https://openalex.org/W2180271301","https://openalex.org/W2792531619","https://openalex.org/W2795831049","https://openalex.org/W2889230014","https://openalex.org/W2911964244","https://openalex.org/W2941906448","https://openalex.org/W3011632114","https://openalex.org/W3017393813","https://openalex.org/W3034856749","https://openalex.org/W3102056532","https://openalex.org/W3109682927","https://openalex.org/W3118434263","https://openalex.org/W3165673728","https://openalex.org/W3170657538","https://openalex.org/W3188373407","https://openalex.org/W4206155102","https://openalex.org/W4220886639","https://openalex.org/W4385763767","https://openalex.org/W4387773507","https://openalex.org/W4389240472","https://openalex.org/W4391882540"],"related_works":["https://openalex.org/W4375867731","https://openalex.org/W2360968725","https://openalex.org/W1630921881","https://openalex.org/W2327970520","https://openalex.org/W4241749851","https://openalex.org/W2351987112","https://openalex.org/W2611989081","https://openalex.org/W2622688551","https://openalex.org/W1550175370","https://openalex.org/W1990205660"],"abstract_inverted_index":{"Abstract":[0],"Gossen\u2019s":[1,21],"First":[2,22],"Law":[3,23],"describes":[4],"the":[5,17,27,48,52,67,81,87,90,93,103,130,134,141,172,208,220,247,259,274],"law":[6],"of":[7,54,89,95,121,191,223,250,252,282],"diminishing":[8,62],"marginal":[9,63],"utility.":[10],"This":[11],"paper":[12],"aims":[13],"to":[14,86,106,170],"further":[15,272],"verify":[16,273],"proposed":[18,42,275],"hypothesis":[19,43,276],"that":[20,45],"also":[24,211],"holds":[25],"in":[26,46,51,70,246],"modeling":[28,56,251],"for":[29,79,129,197,263,269],"Demand":[30],"Side":[31],"Management":[32],"(DSM)":[33],"with":[34,187,277],"a":[35,61,76,122,188,203,253,266,278],"thorough":[36],"heat":[37,125,254],"pump":[38,126,255],"case":[39,131],"study.":[40,132],"The":[41,181,213,240],"states":[44],"general":[47],"complexity-utility":[49],"relationship":[50],"field":[53],"DSM":[55],"could":[57],"be":[58],"represented":[59],"by":[60,175],"utility":[64],"curve.":[65],"On":[66],"other":[68],"hand,":[69],"data":[71,82,99,183],"based":[72,150],"modeling,":[73],"when":[74],"utilizing":[75,176],"large":[77],"dataset":[78,120],"validation,":[80],"integrity":[83],"is":[84,127,144,210],"critical":[85],"reliability":[88],"results.":[91],"However,":[92],"absence":[94],"partial":[96],"time":[97,189,280],"series":[98],"may":[100],"occur":[101],"during":[102],"measurement":[104],"due":[105],"missing":[107],"sensors":[108],"or":[109],"IT":[110],"related":[111],"issues.":[112],"In":[113,133],"this":[114],"work,":[115],"an":[116,177],"extensive":[117],"real-world":[118],"open":[119,178],"ground":[123],"source":[124],"utilized":[128,245],"raw":[135,182],"data,":[136],"one":[137,192],"key":[138],"variable":[139],"namely":[140,158],"flow":[142,173,215],"rate":[143,174,216],"missing.":[145],"Thus,":[146],"three":[147],"different":[148],"algorithms":[149],"on":[151],"machine":[152],"learning":[153,156],"and":[154,166,194,200,231,265],"deep":[155],"architectures":[157],"Random":[159],"Forest":[160],"(RF),":[161],"Long":[162],"Short-Term":[163],"Memory":[164],"(LSTM)":[165],"Transformer":[167],"are":[168,184,243],"applied":[169],"predict":[171],"loop":[179],"forecasting.":[180],"first":[185],"pre-processed":[186],"interval":[190],"hour":[193],"then":[195,244],"used":[196],"training,":[198],"validation":[199],"forecast.":[201],"Furthermore,":[202],"modified":[204,267],"persistence":[205],"model":[206],"as":[207],"baseline":[209],"defined.":[212],"predicted":[214],"using":[217],"LSTM":[218],"yields":[219],"lowest":[221],"error":[222],"7.47":[224],"$$\\%$$":[225,233],"<mml:math":[226,234],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[227,235],"<mml:mo>%</mml:mo>":[228,236],"</mml:math>":[229,237],"nMAE":[230],"10.56":[232],"nRMSE":[238],"respectively.":[239],"forecast":[241],"results":[242],"following":[248],"step":[249],"use":[256],"case.":[257],"With":[258],"introduced":[260],"quantification":[261],"method":[262],"complexity":[264],"version":[268],"utility,":[270],"we":[271],"longer":[279],"horizon":[281],"7":[283],"days.":[284]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
