{"id":"https://openalex.org/W7204523939","doi":"https://doi.org/10.62480/tjet.2026.vol57.pp21-28","title":"Mathematical Modeling and Investigation of Optimal Operating Modes of a Micro Hydropower Plant Hydraulic Turbine","display_name":"Mathematical Modeling and Investigation of Optimal Operating Modes of a Micro Hydropower Plant Hydraulic Turbine","publication_year":2026,"publication_date":"2026-06-09","ids":{"openalex":"https://openalex.org/W7204523939","doi":"https://doi.org/10.62480/tjet.2026.vol57.pp21-28"},"language":"en","primary_location":{"id":"doi:10.62480/tjet.2026.vol57.pp21-28","doi":"https://doi.org/10.62480/tjet.2026.vol57.pp21-28","is_oa":true,"landing_page_url":"https://doi.org/10.62480/tjet.2026.vol57.pp21-28","pdf_url":"https://zienjournals.com/index.php/tjet/article/download/7028/5709","source":{"id":"https://openalex.org/S5407028465","display_name":"Texas Journal of Engineering and Technology","issn_l":"2770-4491","issn":["2770-4491"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Texas Journal of Engineering and Technology","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://zienjournals.com/index.php/tjet/article/download/7028/5709","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063625611","display_name":"Ramziddin Pirimov","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4405258125","display_name":"Buxoro davlat texnika universiteti","ror":"https://ror.org/005ag3869","country_code":"UZ","type":"education","lineage":["https://openalex.org/I4405258125"]}],"countries":["UZ"],"is_corresponding":false,"raw_author_name":"Ramziddin Pirimov","raw_affiliation_strings":["Bukhara State Technical University, 200100, 15 Q. Murtazoyev Street, Bukhara city, Uzbekistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bukhara State Technical University, 200100, 15 Q. Murtazoyev Street, Bukhara city, Uzbekistan","institution_ids":["https://openalex.org/I4405258125"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068639429","display_name":"Alisher Safarov","orcid":"https://orcid.org/0009-0003-5890-3982","observed_orcids":["https://orcid.org/0009-0003-5890-3982"]},"institutions":[{"id":"https://openalex.org/I4405258125","display_name":"Buxoro davlat texnika universiteti","ror":"https://ror.org/005ag3869","country_code":"UZ","type":"education","lineage":["https://openalex.org/I4405258125"]}],"countries":["UZ"],"is_corresponding":false,"raw_author_name":"Alisher Safarov","raw_affiliation_strings":["Bukhara State Technical University, 200100, 15 Q. Murtazoyev Street, Bukhara city, Uzbekistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bukhara State Technical University, 200100, 15 Q. Murtazoyev Street, Bukhara city, Uzbekistan","institution_ids":["https://openalex.org/I4405258125"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5148507872","display_name":"Bahrom Nematov","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4405258125","display_name":"Buxoro davlat texnika universiteti","ror":"https://ror.org/005ag3869","country_code":"UZ","type":"education","lineage":["https://openalex.org/I4405258125"]}],"countries":["UZ"],"is_corresponding":false,"raw_author_name":"Bahrom Nematov","raw_affiliation_strings":["Bukhara State Technical University, 200100, 15 Q. Murtazoyev Street, Bukhara city, Uzbekistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bukhara State Technical University, 200100, 15 Q. Murtazoyev Street, Bukhara city, Uzbekistan","institution_ids":["https://openalex.org/I4405258125"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015926047","display_name":"Alisher Choriyev","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4405258125","display_name":"Buxoro davlat texnika universiteti","ror":"https://ror.org/005ag3869","country_code":"UZ","type":"education","lineage":["https://openalex.org/I4405258125"]}],"countries":["UZ"],"is_corresponding":false,"raw_author_name":"Alisher Choriyev","raw_affiliation_strings":["Bukhara State Technical University, 200100, 15 Q. Murtazoyev Street, Bukhara city, Uzbekistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bukhara State Technical University, 200100, 15 Q. Murtazoyev Street, Bukhara city, Uzbekistan","institution_ids":["https://openalex.org/I4405258125"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4405258125"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"57","issue":null,"first_page":"21","last_page":"28"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11202","display_name":"Cavitation Phenomena in Pumps","score":0.9818999767303467,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/T11202","display_name":"Cavitation Phenomena in Pumps","score":0.9818999767303467,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/T12565","display_name":"Physics and Engineering Research Articles","score":0.010599999688565731,"subfield":{"id":"https://openalex.org/subfields/2200","display_name":"General 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/T10944","display_name":"Turbomachinery Performance and Optimization","score":0.0026000000070780516,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/micro-hydro-power-plant","display_name":"micro-hydro power plant","score":0.8389999866485596},{"id":"https://openalex.org/keywords/hydraulic-turbines","display_name":"hydraulic turbines","score":0.9810000061988831},{"id":"https://openalex.org/keywords/optimal-operating-conditions","display_name":"optimal operating conditions","score":0.7609999775886536},{"id":"https://openalex.org/keywords/blade-installation-angle","display_name":"blade installation angle","score":0.8389999866485596},{"id":"https://openalex.org/keywords/turbine-efficiency","display_name":"turbine efficiency","score":0.8709999918937683},{"id":"https://openalex.org/keywords/mechanical-power","display_name":"mechanical power","score":0.7850000262260437},{"id":"https://openalex.org/keywords/turbine-rotational-speed","display_name":"turbine rotational speed","score":0.7649999856948853},{"id":"https://openalex.org/keywords/turbine-torque","display_name":"turbine torque","score":0.4740000069141388},{"id":"https://openalex.org/keywords/energy-conversion","display_name":"energy conversion","score":0.46799999475479126}],"concepts":[{"id":"https://openalex.org/C40675005","wikidata":"https://www.wikidata.org/wiki/Q170196","display_name":"Hydropower","level":2,"score":0.7052000164985657},{"id":"https://openalex.org/C2778449969","wikidata":"https://www.wikidata.org/wiki/Q130760","display_name":"Turbine","level":2,"score":0.6793000102043152},{"id":"https://openalex.org/C2988713318","wikidata":"https://www.wikidata.org/wiki/Q644997","display_name":"Hydraulic turbines","level":3,"score":0.6051999926567078},{"id":"https://openalex.org/C11394606","wikidata":"https://www.wikidata.org/wiki/Q1972552","display_name":"Hydraulic machinery","level":2,"score":0.5770999789237976},{"id":"https://openalex.org/C2780778756","wikidata":"https://www.wikidata.org/wiki/Q644997","display_name":"Water turbine","level":2,"score":0.57669997215271},{"id":"https://openalex.org/C81063470","wikidata":"https://www.wikidata.org/wiki/Q1256787","display_name":"Rotational speed","level":2,"score":0.5209000110626221},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.5016000270843506},{"id":"https://openalex.org/C159851900","wikidata":"https://www.wikidata.org/wiki/Q369743","display_name":"Hydraulic head","level":2,"score":0.489300012588501},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.48010000586509705},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.46389999985694885},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.42640000581741333},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4203000068664551},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.4077000021934509},{"id":"https://openalex.org/C4311470","wikidata":"https://www.wikidata.org/wiki/Q159719","display_name":"Power station","level":2,"score":0.39719998836517334},{"id":"https://openalex.org/C199104240","wikidata":"https://www.wikidata.org/wiki/Q118291","display_name":"Marine engineering","level":1,"score":0.37220001220703125},{"id":"https://openalex.org/C116615679","wikidata":"https://www.wikidata.org/wiki/Q6795908","display_name":"Maximum power principle","level":3,"score":0.37130001187324524},{"id":"https://openalex.org/C92311004","wikidata":"https://www.wikidata.org/wiki/Q80638","display_name":"Hydroelectricity","level":2,"score":0.36730000376701355},{"id":"https://openalex.org/C2780992000","wikidata":"https://www.wikidata.org/wiki/Q17016113","display_name":"Generator (circuit theory)","level":3,"score":0.3671000003814697},{"id":"https://openalex.org/C29450929","wikidata":"https://www.wikidata.org/wiki/Q3183265","display_name":"Hydraulic motor","level":2,"score":0.36320000886917114},{"id":"https://openalex.org/C423512","wikidata":"https://www.wikidata.org/wiki/Q383973","display_name":"Electricity generation","level":3,"score":0.3621000051498413},{"id":"https://openalex.org/C2780312720","wikidata":"https://www.wikidata.org/wiki/Q5689100","display_name":"Head (geology)","level":2,"score":0.35830000042915344},{"id":"https://openalex.org/C2988574769","wikidata":"https://www.wikidata.org/wiki/Q2259545","display_name":"Water flow","level":2,"score":0.3546000123023987},{"id":"https://openalex.org/C2780052225","wikidata":"https://www.wikidata.org/wiki/Q841217","display_name":"Hydraulic press","level":2,"score":0.3370000123977661},{"id":"https://openalex.org/C107240024","wikidata":"https://www.wikidata.org/wiki/Q184550","display_name":"Mechanical energy","level":3,"score":0.3264000117778778},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.30489999055862427},{"id":"https://openalex.org/C27684931","wikidata":"https://www.wikidata.org/wiki/Q41987","display_name":"Specific speed","level":4,"score":0.3005000054836273},{"id":"https://openalex.org/C76969082","wikidata":"https://www.wikidata.org/wiki/Q486902","display_name":"Mathematical model","level":2,"score":0.29760000109672546},{"id":"https://openalex.org/C39432304","wikidata":"https://www.wikidata.org/wiki/Q188847","display_name":"Environmental science","level":0,"score":0.2924000024795532},{"id":"https://openalex.org/C171146098","wikidata":"https://www.wikidata.org/wiki/Q124192","display_name":"Automotive engineering","level":1,"score":0.2922999858856201},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.2919999957084656},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.28760001063346863},{"id":"https://openalex.org/C2780106156","wikidata":"https://www.wikidata.org/wiki/Q3917224","display_name":"Micro hydro","level":3,"score":0.2741999924182892},{"id":"https://openalex.org/C144822601","wikidata":"https://www.wikidata.org/wiki/Q11271324","display_name":"Energy transformation","level":2,"score":0.272599995136261},{"id":"https://openalex.org/C169961344","wikidata":"https://www.wikidata.org/wiki/Q177784","display_name":"Hydraulics","level":2,"score":0.26829999685287476},{"id":"https://openalex.org/C64298129","wikidata":"https://www.wikidata.org/wiki/Q1723843","display_name":"Ram air turbine","level":3,"score":0.2651999890804291},{"id":"https://openalex.org/C2039551","wikidata":"https://www.wikidata.org/wiki/Q200297","display_name":"Thermal power station","level":2,"score":0.26510000228881836},{"id":"https://openalex.org/C1633027","wikidata":"https://www.wikidata.org/wiki/Q815820","display_name":"Computational fluid dynamics","level":2,"score":0.2565999925136566},{"id":"https://openalex.org/C133118237","wikidata":"https://www.wikidata.org/wiki/Q131502","display_name":"Electric generator","level":3,"score":0.2500999867916107}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.62480/tjet.2026.vol57.pp21-28","doi":"https://doi.org/10.62480/tjet.2026.vol57.pp21-28","is_oa":true,"landing_page_url":"https://doi.org/10.62480/tjet.2026.vol57.pp21-28","pdf_url":"https://zienjournals.com/index.php/tjet/article/download/7028/5709","source":{"id":"https://openalex.org/S5407028465","display_name":"Texas Journal of Engineering and Technology","issn_l":"2770-4491","issn":["2770-4491"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Texas Journal of Engineering and Technology","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.62480/tjet.2026.vol57.pp21-28","doi":"https://doi.org/10.62480/tjet.2026.vol57.pp21-28","is_oa":true,"landing_page_url":"https://doi.org/10.62480/tjet.2026.vol57.pp21-28","pdf_url":"https://zienjournals.com/index.php/tjet/article/download/7028/5709","source":{"id":"https://openalex.org/S5407028465","display_name":"Texas Journal of Engineering and Technology","issn_l":"2770-4491","issn":["2770-4491"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Texas Journal of Engineering and Technology","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.878000020980835}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7204523939.pdf","grobid_xml":"https://content.openalex.org/works/W7204523939.grobid-xml"},"referenced_works_count":4,"referenced_works":["https://openalex.org/W2044234941","https://openalex.org/W2088815983","https://openalex.org/W2947026975","https://openalex.org/W4311011526"],"related_works":["https://openalex.org/W7131638969","https://openalex.org/W7220938357","https://openalex.org/W1934469237","https://openalex.org/W4253079395","https://openalex.org/W4394626455","https://openalex.org/W3193554258","https://openalex.org/W6911964521","https://openalex.org/W3167537417","https://openalex.org/W4385344442","https://openalex.org/W4389796939"],"abstract_inverted_index":{"This":[0],"paper":[1],"investigates":[2],"the":[3,33,39,49,52,59,94,99,105,110,115,118,133,157,169,181,186,194,199],"determination":[4],"of":[5,9,31,38,58,98,109,135,146,154,161,198],"optimal":[6,95,106,119,158],"operating":[7,107,125],"parameters":[8,57,121],"a":[10,87,128,143,150],"micro-hydropower":[11],"plant":[12],"hydraulic":[13,34,60,69,111,144,163,183],"turbine":[14,61,71,120,164,201],"equipped":[15],"with":[16,127],"bucket-type":[17,100],"blades,":[18],"designed":[19],"to":[20,92,103,185],"operate":[21],"under":[22,205],"variable":[23,206],"water":[24,40,67,129,152],"discharge":[25,130,153],"and":[26,35,48,55,77,102,149,196],"head":[27,145],"conditions.":[28],"The":[29,64,175],"process":[30],"converting":[32],"kinetic":[36],"energy":[37,44,56],"flow":[41],"into":[42],"mechanical":[43,75,170,177],"is":[45,90,139,165,172,188],"mathematically":[46],"modeled,":[47],"interrelationships":[50],"among":[51],"main":[53],"geometric":[54],"are":[62,79,122],"analyzed.":[63],"relationships":[65],"between":[66],"discharge,":[68],"head,":[70],"rotational":[72,159],"speed,":[73],"torque,":[74],"power,":[76],"efficiency":[78],"determined":[80,140],"based":[81],"on":[82,114],"analytical":[83],"expressions.":[84],"In":[85],"addition,":[86],"computational":[88,116],"algorithm":[89],"developed":[91],"determine":[93],"installation":[96],"angle":[97],"blades":[101],"select":[104],"conditions":[108,126,208],"turbine.":[112],"Based":[113],"results,":[117],"evaluated":[123],"for":[124,203],"varying":[131],"within":[132],"range":[134],"0.003\u20130.009":[136],"m\u00b3/s.":[137],"It":[138],"that,":[141],"at":[142],"30":[147],"m":[148],"total":[151,176],"0.018":[155],"m\u00b3/s,":[156],"speed":[160],"each":[162],"540":[166],"rpm,":[167],"while":[168],"power":[171,178],"2150":[173],"W.":[174,190],"transmitted":[179],"from":[180],"two":[182],"turbines":[184],"generator":[187],"4300":[189],"These":[191],"results":[192],"demonstrate":[193],"feasibility":[195],"effectiveness":[197],"proposed":[200],"configuration":[202],"operation":[204],"water-flow":[207]},"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2026-08-29T00:00:00"}