{"id":"https://openalex.org/W4402592674","doi":"https://doi.org/10.1109/tase.2024.3454750","title":"Fast Probabilistic Energy Flow Calculation for Natural Gas Systems: A Convex Multiparametric Programming Approach","display_name":"Fast Probabilistic Energy Flow Calculation for Natural Gas Systems: A Convex Multiparametric Programming Approach","publication_year":2024,"publication_date":"2024-09-18","ids":{"openalex":"https://openalex.org/W4402592674","doi":"https://doi.org/10.1109/tase.2024.3454750"},"language":"en","primary_location":{"id":"doi:10.1109/tase.2024.3454750","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2024.3454750","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"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 Automation Science and Engineering","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/A5042556183","display_name":"Wenhao Jia","orcid":"https://orcid.org/0000-0002-9540-2293"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wenhao Jia","raw_affiliation_strings":["Department of Electrical Engineering, Xi&#x2019;an Jiaotong University, Xi&#x2019;an, Shaanxi, China"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Xi&#x2019;an Jiaotong University, Xi&#x2019;an, Shaanxi, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010781360","display_name":"Tao Ding","orcid":"https://orcid.org/0000-0002-7590-0172"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tao Ding","raw_affiliation_strings":["Department of Electrical Engineering, Xi&#x2019;an Jiaotong University, Xi&#x2019;an, Shaanxi, China"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Xi&#x2019;an Jiaotong University, Xi&#x2019;an, Shaanxi, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5107854821","display_name":"Yi Yuan","orcid":"https://orcid.org/0009-0006-6519-5314"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yi Yuan","raw_affiliation_strings":["Department of Electrical Engineering, Xi&#x2019;an Jiaotong University, Xi&#x2019;an, Shaanxi, China"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Xi&#x2019;an Jiaotong University, Xi&#x2019;an, Shaanxi, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031488145","display_name":"Hongji Zhang","orcid":"https://orcid.org/0009-0005-5641-3992"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongji Zhang","raw_affiliation_strings":["Department of Electrical Engineering, Xi&#x2019;an Jiaotong University, Xi&#x2019;an, Shaanxi, China"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Xi&#x2019;an Jiaotong University, Xi&#x2019;an, Shaanxi, China","institution_ids":["https://openalex.org/I87445476"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5042556183"],"corresponding_institution_ids":["https://openalex.org/I87445476"],"apc_list":null,"apc_paid":null,"fwci":0.6975,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.70887979,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"22","issue":null,"first_page":"6786","last_page":"6796"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11053","display_name":"Process Optimization and Integration","score":0.97079998254776,"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/T11053","display_name":"Process Optimization and Integration","score":0.97079998254776,"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/T12639","display_name":"Global Energy and Sustainability Research","score":0.9545999765396118,"subfield":{"id":"https://openalex.org/subfields/2105","display_name":"Renewable Energy, Sustainability and the Environment"},"field":{"id":"https://openalex.org/fields/21","display_name":"Energy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11801","display_name":"Reservoir Engineering and Simulation Methods","score":0.9488000273704529,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean 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":0.6066697835922241},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5272972583770752},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.5253892540931702},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4941771328449249},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46222034096717834},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.4404887855052948},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.4148428440093994},{"id":"https://openalex.org/keywords/natural-gas","display_name":"Natural gas","score":0.4143863916397095},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28296586871147156},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.25152385234832764},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17402133345603943},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.10953623056411743}],"concepts":[{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.6066697835922241},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5272972583770752},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5253892540931702},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4941771328449249},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46222034096717834},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4404887855052948},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.4148428440093994},{"id":"https://openalex.org/C59427239","wikidata":"https://www.wikidata.org/wiki/Q40858","display_name":"Natural gas","level":2,"score":0.4143863916397095},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28296586871147156},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.25152385234832764},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17402133345603943},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.10953623056411743},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C548081761","wikidata":"https://www.wikidata.org/wiki/Q180388","display_name":"Waste management","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tase.2024.3454750","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2024.3454750","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"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 Automation Science and Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5600000023841858,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G2695395846","display_name":null,"funder_award_id":"52277123","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6159066820","display_name":null,"funder_award_id":"xzy022023090","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W1488542424","https://openalex.org/W1524886571","https://openalex.org/W1571895985","https://openalex.org/W1988916105","https://openalex.org/W1993170675","https://openalex.org/W2021900925","https://openalex.org/W2026944595","https://openalex.org/W2036566088","https://openalex.org/W2132693445","https://openalex.org/W2340920670","https://openalex.org/W2344249722","https://openalex.org/W2506585977","https://openalex.org/W2564722309","https://openalex.org/W2593353776","https://openalex.org/W2610193974","https://openalex.org/W2786885080","https://openalex.org/W2898094156","https://openalex.org/W2942023870","https://openalex.org/W2963950313","https://openalex.org/W2978672363","https://openalex.org/W2987748417","https://openalex.org/W2994867816","https://openalex.org/W3005980113","https://openalex.org/W3024097918","https://openalex.org/W3081287555","https://openalex.org/W3087883639","https://openalex.org/W3102285780","https://openalex.org/W3171206374","https://openalex.org/W3174605532","https://openalex.org/W3184922847","https://openalex.org/W3191091682","https://openalex.org/W3194676438","https://openalex.org/W3200437145","https://openalex.org/W3204596169","https://openalex.org/W3205825510","https://openalex.org/W4200036924","https://openalex.org/W4205769817","https://openalex.org/W4205836279","https://openalex.org/W4210806622","https://openalex.org/W4285216230","https://openalex.org/W4285289566","https://openalex.org/W4285293221","https://openalex.org/W4294310921","https://openalex.org/W4304987457","https://openalex.org/W4310377398","https://openalex.org/W4313153954","https://openalex.org/W4313396677","https://openalex.org/W4388900732","https://openalex.org/W4391097130","https://openalex.org/W4407926521"],"related_works":["https://openalex.org/W2494523064","https://openalex.org/W2943623134","https://openalex.org/W2588219639","https://openalex.org/W2215759665","https://openalex.org/W2030292806","https://openalex.org/W2960358116","https://openalex.org/W4287727129","https://openalex.org/W3041172967","https://openalex.org/W2749065928","https://openalex.org/W3153752017"],"abstract_inverted_index":{"Probabilistic":[0],"energy":[1,22,36,73,89,128,140,158,174,220,248,289,303],"flow":[2,37,90,129,141,159,175,221,290,304],"(PEF)":[3],"calculation":[4,65,152,202],"is":[5,82,116,238,271,282,358],"a":[6,41,49,57,95,196,266,293],"fundamental":[7],"task":[8],"for":[9,67,199,300],"the":[10,85,105,109,121,126,135,139,156,168,172,185,188,207,242,275,288,312,318,337,342,349,355,368],"operation":[11],"and":[12,20,124,143,339],"planning":[13],"of":[14,44,87,187,235,278,287,295,341,354,362,367],"both":[15],"natural":[16],"gas":[17,106,260],"systems":[18,23],"(NGSs)":[19],"integrated":[21],"considering":[24],"uncertainties.":[25],"Traditional":[26],"Monte":[27],"Carlo":[28],"simulation":[29],"(MCS)":[30],"based":[31,39,62,75,250],"PEF":[32,64,151,201,216,244,320,351],"approach":[33,198],"requires":[34],"repeated":[35,302],"calculations":[38,160,222,305],"on":[40,181,331],"large":[42],"number":[43],"random":[45],"samples,":[46],"leading":[47],"to":[48,84,119,192,239,273,335],"huge":[50],"computation":[51,352],"burden.":[52],"Hence,":[53],"this":[54,279],"paper":[55,194],"proposes":[56],"convex":[58,76,96,251],"multiparametric":[59,112,267],"programming":[60],"(MPP)":[61],"fast":[63],"method":[66,357],"NGSs.":[68],"First,":[69],"we":[70,93,147],"develop":[71],"an":[72,149,247,284],"function":[74,249,294],"optimization":[77],"model":[78,98],"whose":[79],"optimal":[80],"solution":[81,86,142,277,291],"equivalent":[83],"deterministic":[88],"equations.":[91],"Then,":[92,265],"propose":[94],"MPP":[97,123,252],"with":[99,223],"uncertain":[100,144,169,256,296,309],"boundary":[101,257],"conditions":[102,258],"(such":[103],"as":[104,108,246,262,292],"injections/loads)":[107,261],"parameters.":[110,145,264,297],"A":[111],"quadratic":[113,268],"approximation":[114,269],"algorithm":[115,270],"further":[117],"introduced":[118],"solve":[120],"proposed":[122,189,343,356],"obtain":[125,274],"analytical":[127,132,173,285],"expression.":[130],"This":[131,298],"expression":[133,176,286,314],"characterizes":[134],"mapping":[136],"relationship":[137],"between":[138],"Finally,":[146],"establish":[148],"online":[150,319,350],"framework,":[153],"in":[154,203,228],"which":[155,254,281],"repeat":[157],"can":[161,323],"be":[162,324],"efficiently":[163],"performed":[164],"by":[165,211,306],"merely":[166],"substituting":[167,308],"parameters":[170,310],"into":[171,311],"obtained":[177,315],"offline.":[178,316],"Case":[179],"studies":[180,330],"multiple":[182],"NGSs":[183,204,334],"verify":[184],"effectiveness":[186,338],"method.":[190,344,370],"Note":[191],"Practitioners\u2014This":[193],"introduces":[195],"novel":[197],"efficient":[200,301],"that":[205,348,366],"addresses":[206],"computational":[208,230,321],"challenges":[209],"posed":[210],"traditional":[212],"methods.":[213],"Conventional":[214],"MCS-based":[215],"approaches":[217],"involve":[218],"numerous":[219],"massive":[224],"stochastic":[225],"scenarios,":[226],"resulting":[227],"significant":[229],"burdens.":[231],"The":[232],"key":[233],"contribution":[234],"our":[236],"work":[237],"equivalently":[240],"reformulate":[241],"original":[243],"problem":[245],"model,":[253],"incorporates":[255],"(e.g.,":[259],"its":[263],"suggested":[272],"parametric":[276],"MPP,":[280],"essentially":[283],"allows":[299],"simply":[307],"pre-determined":[313],"Thus,":[317],"efficiency":[322,353],"significantly":[325],"improved.":[326],"We":[327],"conduct":[328],"case":[329],"several":[332],"benchmark":[333],"validate":[336],"scalability":[340],"Numerical":[345],"results":[346],"show":[347],"approximately":[359],"2-3":[360],"orders":[361],"magnitude":[363],"faster":[364],"than":[365],"NR-MCS":[369]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2025-12-27T23:08:20.325037","created_date":"2025-10-10T00:00:00"}
