{"id":"https://openalex.org/W1988766304","doi":"https://doi.org/10.1109/jsyst.2013.2256322","title":"Probabilistic Assessment and Sensitivity Analysis of Marginal Price of Different Services in Power Markets","display_name":"Probabilistic Assessment and Sensitivity Analysis of Marginal Price of Different Services in Power Markets","publication_year":2013,"publication_date":"2013-05-03","ids":{"openalex":"https://openalex.org/W1988766304","doi":"https://doi.org/10.1109/jsyst.2013.2256322","mag":"1988766304"},"language":"en","primary_location":{"id":"doi:10.1109/jsyst.2013.2256322","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jsyst.2013.2256322","pdf_url":null,"source":{"id":"https://openalex.org/S95999327","display_name":"IEEE Systems Journal","issn_l":"1932-8184","issn":["1932-8184","1937-9234","2373-7816"],"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 Systems Journal","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/A5012974149","display_name":"Alireza Nouri","orcid":"https://orcid.org/0000-0003-0088-5219"},"institutions":[{"id":"https://openalex.org/I133529467","display_name":"Sharif University of Technology","ror":"https://ror.org/024c2fq17","country_code":"IR","type":"education","lineage":["https://openalex.org/I133529467"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Alireza Nouri","raw_affiliation_strings":["Department of Electrical Engineering, Sharif University of Technology, Tehran, Iran","Dept. of Electr. Eng., SHARIF Univ. of Technol., Tehran, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Sharif University of Technology, Tehran, Iran","institution_ids":["https://openalex.org/I133529467"]},{"raw_affiliation_string":"Dept. of Electr. Eng., SHARIF Univ. of Technol., Tehran, Iran","institution_ids":["https://openalex.org/I133529467"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058596459","display_name":"Mohammad Afkousi-Paqaleh","orcid":"https://orcid.org/0000-0002-9143-2727"},"institutions":[{"id":"https://openalex.org/I4210157119","display_name":"Renewable Energy and Energy Efficiency Organization","ror":"https://ror.org/04dacya36","country_code":"IR","type":"government","lineage":["https://openalex.org/I4210157119"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mohammad Afkousi-Paqaleh","raw_affiliation_strings":["Board of Iranian Electric Power Market, Power Ministry, Tehran, Iran","Power Minist., Board of Iranian Electr. Power Market, Tehran, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Board of Iranian Electric Power Market, Power Ministry, Tehran, Iran","institution_ids":["https://openalex.org/I4210157119"]},{"raw_affiliation_string":"Power Minist., Board of Iranian Electr. Power Market, Tehran, Iran","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042261249","display_name":"Seyed Hamid Hosseini","orcid":"https://orcid.org/0000-0001-8838-9433"},"institutions":[{"id":"https://openalex.org/I133529467","display_name":"Sharif University of Technology","ror":"https://ror.org/024c2fq17","country_code":"IR","type":"education","lineage":["https://openalex.org/I133529467"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Seyed Hamid Hosseini","raw_affiliation_strings":["Department of Electrical Engineering, Sharif University of Technology, Tehran, Iran","Dept. of Electr. Eng., SHARIF Univ. of Technol., Tehran, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Sharif University of Technology, Tehran, Iran","institution_ids":["https://openalex.org/I133529467"]},{"raw_affiliation_string":"Dept. of Electr. Eng., SHARIF Univ. of Technol., Tehran, Iran","institution_ids":["https://openalex.org/I133529467"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.3985,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.93341821,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"7","issue":"4","first_page":"873","last_page":"880"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11941","display_name":"Power System Reliability and Maintenance","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"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/T11941","display_name":"Power System Reliability and Maintenance","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"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/T10424","display_name":"Electric Power System Optimization","score":0.9997000098228455,"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/T10454","display_name":"Optimal Power Flow Distribution","score":0.998199999332428,"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/probabilistic-logic","display_name":"Probabilistic logic","score":0.7597622871398926},{"id":"https://openalex.org/keywords/probability-density-function","display_name":"Probability density function","score":0.6493089199066162},{"id":"https://openalex.org/keywords/reliability","display_name":"Reliability (semiconductor)","score":0.6269404888153076},{"id":"https://openalex.org/keywords/market-clearing","display_name":"Market clearing","score":0.6186096668243408},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5971002578735352},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.5947691798210144},{"id":"https://openalex.org/keywords/sensitivity","display_name":"Sensitivity (control systems)","score":0.5636802911758423},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5450899004936218},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.4755282700061798},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4587244689464569},{"id":"https://openalex.org/keywords/marginal-distribution","display_name":"Marginal distribution","score":0.45271241664886475},{"id":"https://openalex.org/keywords/marginal-cost","display_name":"Marginal cost","score":0.45155441761016846},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.4042391777038574},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.4013795852661133},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.2208402454853058},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.218561053276062},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.16917482018470764},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.15228286385536194},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08648285269737244}],"concepts":[{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.7597622871398926},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.6493089199066162},{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.6269404888153076},{"id":"https://openalex.org/C14981831","wikidata":"https://www.wikidata.org/wiki/Q1713661","display_name":"Market clearing","level":2,"score":0.6186096668243408},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5971002578735352},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.5947691798210144},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.5636802911758423},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5450899004936218},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.4755282700061798},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4587244689464569},{"id":"https://openalex.org/C165216359","wikidata":"https://www.wikidata.org/wiki/Q670653","display_name":"Marginal distribution","level":3,"score":0.45271241664886475},{"id":"https://openalex.org/C66887028","wikidata":"https://www.wikidata.org/wiki/Q382444","display_name":"Marginal cost","level":2,"score":0.45155441761016846},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.4042391777038574},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.4013795852661133},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.2208402454853058},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.218561053276062},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.16917482018470764},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.15228286385536194},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08648285269737244},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/jsyst.2013.2256322","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jsyst.2013.2256322","pdf_url":null,"source":{"id":"https://openalex.org/S95999327","display_name":"IEEE Systems Journal","issn_l":"1932-8184","issn":["1932-8184","1937-9234","2373-7816"],"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 Systems Journal","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/17","score":0.5099999904632568,"display_name":"Partnerships for the goals"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1571403844","https://openalex.org/W1799021607","https://openalex.org/W1967113958","https://openalex.org/W1989198593","https://openalex.org/W1993750689","https://openalex.org/W2003850221","https://openalex.org/W2033225140","https://openalex.org/W2056636551","https://openalex.org/W2074845425","https://openalex.org/W2106371955","https://openalex.org/W2115736354","https://openalex.org/W2122487402","https://openalex.org/W2123497856","https://openalex.org/W2124895057","https://openalex.org/W2128520969","https://openalex.org/W2132879978","https://openalex.org/W2141975707","https://openalex.org/W2143486446","https://openalex.org/W2144674760","https://openalex.org/W2154676046","https://openalex.org/W2157321310","https://openalex.org/W2777019853","https://openalex.org/W3143932779","https://openalex.org/W4249832485","https://openalex.org/W6679366549"],"related_works":["https://openalex.org/W2355760814","https://openalex.org/W2028225975","https://openalex.org/W2373670823","https://openalex.org/W2391213251","https://openalex.org/W2076078510","https://openalex.org/W2365843888","https://openalex.org/W2242259016","https://openalex.org/W2364639542","https://openalex.org/W2103565019","https://openalex.org/W4378551395"],"abstract_inverted_index":{"Different":[0],"sources":[1],"of":[2,44,59,62,80,102,111,121,137,147,160,197],"uncertainty":[3],"in":[4,19,21,50,140,154,191],"power":[5,33,45,90,123],"systems,":[6],"i.e.,":[7],"the":[8,41,54,69,78,88,95,100,103,108,122,135,148,161,166,179,185,195,198],"uncertainties":[9,20],"associated":[10],"with":[11,72],"bus":[12],"loading":[13],"and":[14,28,83,93,143,184,189],"component":[15],"availability":[16],"is":[17,118,127,164,170,176],"reflected":[18],"different":[22,63,130],"system":[23,26],"variables":[24],"through":[25],"physical":[27],"economical":[29],"relationships.":[30],"A":[31],"stochastic":[32,42],"flow":[34,91,124],"algorithm":[35,48,86],"can":[36,151],"be":[37],"used":[38],"to":[39,76,98,133,193],"model":[40],"nature":[43],"systems.":[46],"The":[47,85,114,157,173],"introduced":[49],"this":[51,155],"paper":[52],"calculates":[53],"probability":[55],"density":[56],"function":[57],"(pdf)":[58],"marginal":[60,104],"prices":[61,105],"market":[64,70,115,131],"services.":[65],"These":[66],"pdfs":[67],"provide":[68],"participant":[71],"some":[73],"valuable":[74],"information":[75],"reduce":[77,134],"risk":[79,136],"their":[81,138],"decisions":[82],"actions.":[84],"linearizes":[87],"optimal":[89],"formulation":[92],"uses":[94],"Gram-Charlier":[96],"method":[97,163,175],"find":[99],"pdf":[101],"based":[106],"on":[107],"statistical":[109],"moments":[110],"these":[112],"prices.":[113],"clearing":[116],"equation":[117],"linearized":[119],"instead":[120],"equations.":[125],"It":[126],"essential":[128],"for":[129],"participants":[132],"actions":[139],"both":[141],"planning":[142],"operation":[144],"modes.":[145],"Application":[146],"mentioned":[149],"PDFs":[150],"help":[152],"them":[153],"way.":[156],"great":[158],"advantage":[159],"proposed":[162,174,199],"that":[165],"program":[167],"execution":[168],"time":[169],"very":[171],"short.":[172],"illustrated":[177],"using":[178],"IEEE":[180],"Reliability":[181],"Test":[182],"System":[183],"results":[186],"are":[187],"presented":[188],"discussed":[190],"detail":[192],"show":[194],"effectiveness":[196],"method.":[200]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}