A computationally efficient mixed-integer linear formulation for the thermal unit commitment problem

This paper presents a new mixed-integer linear formulation for the unit commitment problem of thermal units. The formulation proposed requires fewer binary variables and constraints than previously reported models, yielding a significant computational saving. Furthermore, the modeling framework prov...

Celý popis

Uloženo v:

Podrobná bibliografie
Vydáno v:	IEEE transactions on power systems Ročník 21; číslo 3; s. 1371 - 1378
Hlavní autoři:	Carrion, M., Arroyo, J.M.
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	New York IEEE 01.08.2006 The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Témata:	Algorithms Computation Computational efficiency Computer simulation Cost function ISO standards Large-scale systems Linear programming Mathematical analysis Mathematical models Mixed-integer linear programming (MILP) Piecewise linear techniques Power generation Power systems Production Spinning thermal generating units Time factors Unit commitment
ISSN:	0885-8950, 1558-0679
On-line přístup:	Získat plný text
Tagy:	Přidat tag Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!

Abstract	This paper presents a new mixed-integer linear formulation for the unit commitment problem of thermal units. The formulation proposed requires fewer binary variables and constraints than previously reported models, yielding a significant computational saving. Furthermore, the modeling framework provided by the new formulation allows including a precise description of time-dependent startup costs and intertemporal constraints such as ramping limits and minimum up and down times. A commercially available mixed-integer linear programming algorithm has been applied to efficiently solve the unit commitment problem for practical large-scale cases. Simulation results back these conclusions
AbstractList	This paper presents a new mixed-integer linear formulation for the unit commitment problem of thermal units. The formulation proposed requires fewer binary variables and constraints than previously reported models, yielding a significant computational saving. Furthermore, the modeling framework provided by the new formulation allows including a precise description of time-dependent startup costs and intertemporal constraints such as ramping limits and minimum up and down times. A commercially available mixed-integer linear programming algorithm has been applied to efficiently solve the unit commitment problem for practical large-scale cases. Simulation results back these conclusions
Author	Arroyo, J.M. Carrion, M.
Author_xml	– sequence: 1 givenname: M. surname: Carrion fullname: Carrion, M. organization: Departamento de Ingenierfa Electrica, Univ. de Castilla-La Mancha, Ciudad Real – sequence: 2 givenname: J.M. surname: Arroyo fullname: Arroyo, J.M.
BookMark	eNp9kM1q3DAURkVJoZNpH6BkY7rJylNJHulKy2FomkAgIT90aWT5qlWQ7KksQ_P2tceBQBZZCAl0vu9yzyk56foOCfnK6IYxqr8_3P66u99wSuVGgZTAP5AVE0KVVII-ISuqlCiVFvQTOR2GJzqB08eKtLvC9vEwZpN935kQngt0zluPXS6i_4dt6buMvzEVwXdoUuH6FMdwxOd3kf_gfFI0oRg7n-e-6HOcCw6pbwLGz-SjM2HALy_3mjxe_HjYX5bXNz-v9rvr0laa5rKxAiutW87BgmWCW2oaXjlLW-4AQLC21UbgFpqKuYZC66TjVnEEkMZBtSbnS-809--IQ66jHyyGYDrsx6FWWjKpJMzktzfkUz-maf8JkkJVwLieILZANvXDkNDVh-SjSc81o_VsvT5ar2fr9WJ9ysCbjPWL25yMD-8mz5akR8TXSVJuNWyr_2jjlIM
CODEN	ITPSEG
CitedBy_id	crossref_primary_10_1016_j_epsr_2016_09_026 crossref_primary_10_1007_s10898_021_01041_y crossref_primary_10_1155_2011_812364 crossref_primary_10_1016_j_apenergy_2013_10_015 crossref_primary_10_1016_j_swevo_2013_06_001 crossref_primary_10_1186_s42162_018_0037_z crossref_primary_10_1109_TPWRS_2012_2202925 crossref_primary_10_1007_s10287_014_0220_z crossref_primary_10_3390_app12062827 crossref_primary_10_1109_TPWRS_2015_2485781 crossref_primary_10_1109_TPWRS_2017_2718246 crossref_primary_10_3390_su12093543 crossref_primary_10_1016_j_ijepes_2018_07_048 crossref_primary_10_1109_TPWRS_2013_2278076 crossref_primary_10_1007_s12667_023_00564_5 crossref_primary_10_1016_j_ijepes_2019_01_019 crossref_primary_10_1109_TSG_2024_3387874 crossref_primary_10_1049_iet_gtd_2016_1699 crossref_primary_10_1109_TPWRS_2020_3046970 crossref_primary_10_3390_en11082124 crossref_primary_10_1016_j_ijhydene_2019_09_028 crossref_primary_10_1109_JSTSP_2018_2849861 crossref_primary_10_1109_TPWRS_2013_2272518 crossref_primary_10_1007_s12667_013_0076_2 crossref_primary_10_1016_j_epsr_2020_106723 crossref_primary_10_1109_TPWRS_2010_2087367 crossref_primary_10_3390_en12122317 crossref_primary_10_1016_j_cor_2021_105398 crossref_primary_10_1016_j_ijepes_2019_01_020 crossref_primary_10_1007_s10107_014_0812_y crossref_primary_10_3390_en5041245 crossref_primary_10_1109_ACCESS_2024_3351358 crossref_primary_10_1109_TSTE_2019_2940624 crossref_primary_10_1016_j_enconman_2008_12_003 crossref_primary_10_1109_TPWRS_2021_3116462 crossref_primary_10_1109_TPWRS_2014_2387118 crossref_primary_10_1109_TPWRS_2009_2022983 crossref_primary_10_3390_en13123056 crossref_primary_10_1109_TPWRS_2009_2016072 crossref_primary_10_1016_j_apenergy_2016_08_188 crossref_primary_10_1016_j_apenergy_2018_12_047 crossref_primary_10_1016_j_orl_2015_03_008 crossref_primary_10_1016_j_apenergy_2019_113982 crossref_primary_10_1049_iet_gtd_2019_1752 crossref_primary_10_1007_s10107_015_0902_5 crossref_primary_10_1007_s13675_016_0066_y crossref_primary_10_1007_s10479_014_1760_x crossref_primary_10_1109_JIOT_2020_2966232 crossref_primary_10_1145_2494232_2465551 crossref_primary_10_1016_j_ijepes_2016_04_043 crossref_primary_10_1016_j_apenergy_2013_10_027 crossref_primary_10_1049_iet_gtd_2018_6314 crossref_primary_10_1109_TPWRS_2022_3156430 crossref_primary_10_1007_s10479_018_2900_5 crossref_primary_10_1109_TPWRS_2019_2945316 crossref_primary_10_1007_s00202_024_02254_6 crossref_primary_10_1049_iet_gtd_2019_1542 crossref_primary_10_1051_e3sconf_202123602005 crossref_primary_10_1016_j_epsr_2017_04_008 crossref_primary_10_1109_TTE_2024_3404274 crossref_primary_10_1049_joe_2017_0614 crossref_primary_10_1016_j_epsr_2014_04_005 crossref_primary_10_1109_TIA_2021_3135801 crossref_primary_10_1109_TSG_2013_2267544 crossref_primary_10_1109_TPWRS_2015_2461535 crossref_primary_10_1109_TSG_2015_2388736 crossref_primary_10_21833_ijaas_2018_09_004 crossref_primary_10_3390_en18123048 crossref_primary_10_1016_j_energy_2013_12_009 crossref_primary_10_1016_j_apenergy_2020_116051 crossref_primary_10_1007_s13675_016_0062_2 crossref_primary_10_1177_0142331212455450 crossref_primary_10_1016_j_energy_2016_10_082 crossref_primary_10_1002_eej_23368 crossref_primary_10_1109_TPWRS_2015_2494688 crossref_primary_10_1109_TSG_2019_2936142 crossref_primary_10_1109_TPWRS_2015_2510612 crossref_primary_10_3389_fenrg_2022_857520 crossref_primary_10_1109_TPWRS_2017_2683263 crossref_primary_10_1016_j_epsr_2009_11_007 crossref_primary_10_1109_TPWRS_2008_919318 crossref_primary_10_1109_ACCESS_2016_2646418 crossref_primary_10_1287_mnsc_2023_00906 crossref_primary_10_1007_s12667_016_0224_6 crossref_primary_10_1016_j_epsr_2019_106007 crossref_primary_10_1109_TII_2019_2908834 crossref_primary_10_1016_j_trc_2018_05_011 crossref_primary_10_1109_TSTE_2012_2201185 crossref_primary_10_1016_j_energy_2016_02_017 crossref_primary_10_1007_s10479_015_2029_8 crossref_primary_10_1016_j_ejor_2017_02_005 crossref_primary_10_1080_1448837X_2015_1092933 crossref_primary_10_1109_TPWRS_2011_2173506 crossref_primary_10_1002_er_6286 crossref_primary_10_1016_j_jclepro_2018_09_108 crossref_primary_10_1109_TPWRS_2020_2980212 crossref_primary_10_1016_j_ijepes_2014_01_038 crossref_primary_10_1109_TPWRS_2015_2483542 crossref_primary_10_3390_en12081512 crossref_primary_10_1016_j_trc_2015_05_005 crossref_primary_10_3390_en10101554 crossref_primary_10_1016_j_epsr_2022_108656 crossref_primary_10_1109_TSG_2017_2679133 crossref_primary_10_1007_s42835_023_01544_6 crossref_primary_10_1109_TPWRS_2016_2597288 crossref_primary_10_1109_TPWRS_2022_3232029 crossref_primary_10_1007_s00186_021_00768_4 crossref_primary_10_1016_j_ijepes_2020_106603 crossref_primary_10_1049_iet_gtd_2019_1550 crossref_primary_10_1016_j_energy_2016_03_031 crossref_primary_10_1007_s12667_022_00558_9 crossref_primary_10_1016_j_biombioe_2013_12_012 crossref_primary_10_1109_TPWRS_2016_2544795 crossref_primary_10_1109_TPWRS_2017_2736943 crossref_primary_10_1016_j_epsr_2020_106787 crossref_primary_10_1109_TSTE_2019_2915049 crossref_primary_10_1016_j_apenergy_2022_119926 crossref_primary_10_1016_j_renene_2013_10_025 crossref_primary_10_1016_j_ijepes_2021_106936 crossref_primary_10_1049_iet_gtd_20060529 crossref_primary_10_1016_j_gloei_2021_07_004 crossref_primary_10_3390_en13164214 crossref_primary_10_1016_j_segan_2023_101154 crossref_primary_10_1109_TPWRS_2014_2307863 crossref_primary_10_1109_TPWRS_2015_2502594 crossref_primary_10_1109_TPWRS_2014_2360063 crossref_primary_10_1080_24725854_2020_1823533 crossref_primary_10_1088_1755_1315_555_1_012105 crossref_primary_10_1016_j_apenergy_2015_05_090 crossref_primary_10_1016_j_energy_2021_122773 crossref_primary_10_1049_iet_gtd_2018_5881 crossref_primary_10_1109_TPWRS_2018_2822480 crossref_primary_10_1049_iet_gtd_2018_5649 crossref_primary_10_1016_j_jclepro_2018_08_301 crossref_primary_10_1287_ijoc_2019_0933 crossref_primary_10_1016_j_apenergy_2022_119930 crossref_primary_10_1049_iet_gtd_2018_5409 crossref_primary_10_1016_j_apenergy_2016_02_003 crossref_primary_10_1016_j_epsr_2015_10_024 crossref_primary_10_1111_j_1468_0394_2009_00495_x crossref_primary_10_1016_j_egyr_2023_04_204 crossref_primary_10_1007_s11081_018_9375_8 crossref_primary_10_1109_TPWRS_2014_2358197 crossref_primary_10_1109_TPWRS_2021_3091678 crossref_primary_10_1109_TPWRS_2008_2004739 crossref_primary_10_1007_s10898_015_0342_z crossref_primary_10_1016_j_ijhydene_2023_11_204 crossref_primary_10_1016_j_renene_2024_121075 crossref_primary_10_1088_1757_899X_643_1_012114 crossref_primary_10_1016_j_ijepes_2010_12_004 crossref_primary_10_1016_j_enpol_2016_01_028 crossref_primary_10_1109_TPWRS_2008_2004744 crossref_primary_10_3390_app9163412 crossref_primary_10_1016_j_renene_2016_05_095 crossref_primary_10_1109_TPWRS_2009_2016470 crossref_primary_10_1007_s42835_019_00242_6 crossref_primary_10_1109_TPWRS_2014_2350476 crossref_primary_10_1016_j_energy_2014_06_110 crossref_primary_10_1109_TPWRS_2010_2050011 crossref_primary_10_1109_TPWRS_2009_2038269 crossref_primary_10_1088_1742_6596_1921_1_012066 crossref_primary_10_1109_TPWRS_2016_2551046 crossref_primary_10_1016_j_apenergy_2016_12_081 crossref_primary_10_1109_TPWRS_2008_2004724 crossref_primary_10_1016_j_rser_2019_02_005 crossref_primary_10_1109_TPWRS_2011_2165087 crossref_primary_10_1016_j_enconman_2014_10_063 crossref_primary_10_1016_j_apenergy_2020_116081 crossref_primary_10_1016_j_ijepes_2025_110630 crossref_primary_10_1080_15567249_2020_1845252 crossref_primary_10_1016_j_energy_2021_120378 crossref_primary_10_1109_TPWRS_2020_3011038 crossref_primary_10_1016_j_enbuild_2016_08_042 crossref_primary_10_1038_s41560_018_0133_0 crossref_primary_10_3390_en14113093 crossref_primary_10_1109_TSG_2023_3306702 crossref_primary_10_1007_s10462_022_10154_z crossref_primary_10_1109_TPWRS_2007_907443 crossref_primary_10_1016_j_epsr_2025_111619 crossref_primary_10_1016_j_compchemeng_2018_01_004 crossref_primary_10_1016_j_egyr_2021_10_019 crossref_primary_10_3390_su11020305 crossref_primary_10_1109_TPWRS_2007_907444 crossref_primary_10_1007_s10107_015_0919_9 crossref_primary_10_1016_j_ijepes_2019_04_031 crossref_primary_10_1016_j_ijggc_2022_103686 crossref_primary_10_1016_j_compchemeng_2014_03_009 crossref_primary_10_3390_su13052446 crossref_primary_10_1051_matecconf_201927703006 crossref_primary_10_1109_TPWRS_2013_2253136 crossref_primary_10_1109_TIA_2020_2974426 crossref_primary_10_1007_s40565_017_0277_0 crossref_primary_10_1109_TPWRS_2010_2048345 crossref_primary_10_1016_j_ijepes_2020_106464 crossref_primary_10_1016_j_applthermaleng_2011_12_016 crossref_primary_10_1109_TSG_2013_2268462 crossref_primary_10_1016_j_egyr_2022_10_301 crossref_primary_10_1109_TSG_2019_2939817 crossref_primary_10_1016_j_compchemeng_2019_106691 crossref_primary_10_1016_j_ijepes_2019_04_049 crossref_primary_10_1016_j_ijepes_2021_107814 crossref_primary_10_1016_j_segan_2025_101924 crossref_primary_10_1109_TSTE_2011_2111467 crossref_primary_10_1016_j_ijepes_2010_12_013 crossref_primary_10_1109_TPWRD_2009_2028785 crossref_primary_10_1155_2018_6139086 crossref_primary_10_1007_s13675_015_0037_8 crossref_primary_10_1287_opre_1080_0593 crossref_primary_10_1016_j_renene_2016_03_054 crossref_primary_10_3390_en7117282 crossref_primary_10_1109_TPWRS_2018_2885805 crossref_primary_10_3390_en11082116 crossref_primary_10_1016_j_ijepes_2010_06_022 crossref_primary_10_1016_j_apenergy_2020_114938 crossref_primary_10_1016_j_segan_2025_101935 crossref_primary_10_1002_etep_2067 crossref_primary_10_1002_ente_201700552 crossref_primary_10_1049_iet_gtd_2017_1420 crossref_primary_10_1002_er_6208 crossref_primary_10_1049_iet_gtd_2012_0660 crossref_primary_10_3390_en13195177 crossref_primary_10_1016_j_apenergy_2016_11_096 crossref_primary_10_1109_TPWRS_2020_3045229 crossref_primary_10_1109_TPWRS_2010_2048133 crossref_primary_10_1007_s10107_020_01491_4 crossref_primary_10_1109_TPWRS_2015_2443036 crossref_primary_10_1109_TSTE_2021_3059768 crossref_primary_10_1016_j_ijepes_2013_01_007 crossref_primary_10_1016_j_compchemeng_2015_11_004 crossref_primary_10_1016_j_energy_2022_123748 crossref_primary_10_1109_TPWRS_2013_2274286 crossref_primary_10_1016_j_apenergy_2021_117271 crossref_primary_10_1016_j_apenergy_2016_11_085 crossref_primary_10_1109_ACCESS_2025_3530469 crossref_primary_10_1109_TIA_2023_3318566 crossref_primary_10_1109_TPWRS_2019_2903486 crossref_primary_10_1109_ACCESS_2019_2946460 crossref_primary_10_1007_s11814_009_0348_7 crossref_primary_10_1016_j_enconman_2014_07_060 crossref_primary_10_1016_j_seta_2023_103534 crossref_primary_10_1016_j_compchemeng_2018_10_012 crossref_primary_10_1109_TPWRS_2017_2695964 crossref_primary_10_1049_iet_gtd_2015_0183 crossref_primary_10_1016_j_energy_2015_05_082 crossref_primary_10_1016_j_ijepes_2014_11_025 crossref_primary_10_1109_TPWRS_2014_2358375 crossref_primary_10_1016_j_desal_2020_114411 crossref_primary_10_1088_1755_1315_467_1_012087 crossref_primary_10_1109_TPWRS_2010_2045161 crossref_primary_10_3390_en14020298 crossref_primary_10_1002_etep_2404 crossref_primary_10_1049_iet_gtd_2017_0509 crossref_primary_10_1109_TPWRS_2023_3313776 crossref_primary_10_3390_en11123459 crossref_primary_10_1016_j_compchemeng_2023_108171 crossref_primary_10_1016_j_epsr_2014_02_025 crossref_primary_10_1016_j_ijepes_2013_08_027 crossref_primary_10_3390_w11071392 crossref_primary_10_1016_j_enpol_2018_05_002 crossref_primary_10_3390_en13112752 crossref_primary_10_1049_gtd2_12434 crossref_primary_10_1016_j_ijepes_2014_12_052 crossref_primary_10_1016_j_ijepes_2014_12_054 crossref_primary_10_1016_j_ijepes_2020_106477 crossref_primary_10_1016_j_ijepes_2021_106797 crossref_primary_10_1016_j_ijepes_2021_107408 crossref_primary_10_3390_su8010071 crossref_primary_10_1080_21681015_2022_2116494 crossref_primary_10_1016_j_ijepes_2018_02_004 crossref_primary_10_1080_01430750_2017_1423384 crossref_primary_10_1680_ener_1000009 crossref_primary_10_1109_TPWRS_2022_3193035 crossref_primary_10_1007_s00202_021_01360_z crossref_primary_10_1016_j_epsr_2024_110670 crossref_primary_10_3390_en9121040 crossref_primary_10_1287_opre_2022_2353 crossref_primary_10_1007_s40565_018_0382_8 crossref_primary_10_1016_j_epsr_2014_02_006 crossref_primary_10_1109_JSYST_2021_3119426 crossref_primary_10_1016_j_segan_2022_100957 crossref_primary_10_3390_en14113012 crossref_primary_10_1016_j_epsr_2014_09_006 crossref_primary_10_1016_j_ijepes_2023_109698 crossref_primary_10_1109_TSTE_2017_2761179 crossref_primary_10_3390_su11164504 crossref_primary_10_3390_en16052264 crossref_primary_10_1016_j_ifacol_2017_08_1181 crossref_primary_10_1109_TSG_2015_2427584 crossref_primary_10_1016_j_energy_2014_09_062 crossref_primary_10_1016_j_renene_2021_02_126 crossref_primary_10_1016_j_energy_2016_07_170 crossref_primary_10_1016_j_eswa_2010_11_089 crossref_primary_10_1016_j_ijepes_2025_111093 crossref_primary_10_1109_TII_2018_2876316 crossref_primary_10_1016_j_epsr_2012_04_001 crossref_primary_10_1109_TASE_2016_2629479 crossref_primary_10_1109_TPWRS_2020_2996499 crossref_primary_10_1016_j_ijepes_2014_03_061 crossref_primary_10_1007_s40998_018_0130_0 crossref_primary_10_1049_rpg2_12730 crossref_primary_10_1109_TPWRS_2020_3047346 crossref_primary_10_3390_app7111154 crossref_primary_10_1016_j_rser_2023_113963 crossref_primary_10_1016_j_enconman_2009_12_034 crossref_primary_10_1007_s10107_016_1000_z crossref_primary_10_1080_24725854_2017_1397303 crossref_primary_10_1109_TSTE_2021_3107848 crossref_primary_10_1016_j_renene_2018_02_129 crossref_primary_10_3390_en12183587 crossref_primary_10_1016_j_energy_2015_05_028 crossref_primary_10_1051_e3sconf_201913701012 crossref_primary_10_1109_TPWRS_2013_2287880 crossref_primary_10_1049_iet_gtd_2009_0105 crossref_primary_10_1016_j_applthermaleng_2019_113742 crossref_primary_10_1109_TPWRS_2013_2293604 crossref_primary_10_1016_j_renene_2018_10_042 crossref_primary_10_3390_electronics11172647 crossref_primary_10_1002_rnc_4278 crossref_primary_10_1007_s10898_014_0162_6 crossref_primary_10_1016_j_renene_2016_04_022 crossref_primary_10_1109_TPWRS_2012_2216553 crossref_primary_10_1109_TPWRS_2022_3185214 crossref_primary_10_3390_en10111917 crossref_primary_10_3390_pr6100198 crossref_primary_10_1002_dac_3090 crossref_primary_10_1002_etep_2472 crossref_primary_10_1109_ACCESS_2019_2895090 crossref_primary_10_1088_1757_899X_765_1_012012 crossref_primary_10_1007_s10287_015_0230_5 crossref_primary_10_1016_j_energy_2013_02_030 crossref_primary_10_1109_TPWRS_2010_2059716 crossref_primary_10_1109_TPWRS_2017_2699484 crossref_primary_10_1016_j_ijepes_2017_11_032 crossref_primary_10_1016_j_protcy_2014_10_252 crossref_primary_10_1109_JSYST_2019_2918959 crossref_primary_10_1088_1402_4896_ade644 crossref_primary_10_1007_s10107_019_01457_1 crossref_primary_10_1109_TPWRS_2019_2935003 crossref_primary_10_1109_ACCESS_2018_2861319 crossref_primary_10_1049_iet_gtd_2014_0052 crossref_primary_10_1016_j_enconman_2019_112091 crossref_primary_10_1016_j_energy_2019_01_115 crossref_primary_10_7232_JKIIE_2022_48_1_013 crossref_primary_10_1007_s10479_018_3003_z crossref_primary_10_1109_TII_2017_2710055 crossref_primary_10_1109_TPWRS_2022_3206136 crossref_primary_10_1007_s12667_016_0212_x crossref_primary_10_1016_j_ijepes_2012_10_056 crossref_primary_10_1016_j_epsr_2024_110856 crossref_primary_10_1155_2015_694619 crossref_primary_10_1109_TPWRS_2010_2092793 crossref_primary_10_1109_TPWRS_2023_3317973 crossref_primary_10_1287_ijoc_2022_1235 crossref_primary_10_1016_j_egyr_2021_08_116 crossref_primary_10_1016_j_energy_2022_124577 crossref_primary_10_1109_TCST_2016_2565382 crossref_primary_10_1016_j_apenergy_2017_08_031 crossref_primary_10_1109_TSTE_2025_3527448 crossref_primary_10_1007_s12667_013_0107_z crossref_primary_10_1016_j_orl_2013_08_010 crossref_primary_10_1109_TPWRS_2023_3329986 crossref_primary_10_1109_TPWRS_2013_2288933 crossref_primary_10_1016_j_cie_2020_106392 crossref_primary_10_1016_j_ijepes_2012_10_042 crossref_primary_10_1016_j_ifacol_2019_11_186 crossref_primary_10_1109_TII_2016_2637879 crossref_primary_10_1016_j_egypro_2015_12_360 crossref_primary_10_1016_j_enconman_2017_03_025 crossref_primary_10_1016_j_energy_2025_134871 crossref_primary_10_1007_s42835_019_00227_5 crossref_primary_10_1002_etep_1965 crossref_primary_10_1109_TSG_2013_2282039 crossref_primary_10_1109_TSTE_2017_2764061 crossref_primary_10_3390_en16031506 crossref_primary_10_1049_iet_gtd_2012_0180 crossref_primary_10_1109_ACCESS_2020_2999111 crossref_primary_10_1016_j_cor_2015_01_012 crossref_primary_10_1016_j_epsr_2017_01_014 crossref_primary_10_1016_j_enpol_2020_111683 crossref_primary_10_1016_j_rser_2024_115147 crossref_primary_10_1016_j_comnet_2017_12_004 crossref_primary_10_1051_e3sconf_202458001006 crossref_primary_10_1016_j_apenergy_2015_09_086 crossref_primary_10_1287_opre_2023_2435 crossref_primary_10_1109_TCST_2021_3094886 crossref_primary_10_1007_s42452_024_06377_0 crossref_primary_10_1016_j_energy_2022_123273 crossref_primary_10_1016_j_apenergy_2018_09_102 crossref_primary_10_1109_JIOT_2017_2764879 crossref_primary_10_1049_iet_gtd_2014_1168 crossref_primary_10_1109_ACCESS_2017_2783903 crossref_primary_10_1016_j_renene_2024_121759 crossref_primary_10_1109_TSG_2020_3044609 crossref_primary_10_1080_00207179_2017_1316016 crossref_primary_10_3390_en10070903 crossref_primary_10_1016_j_epsr_2023_109552 crossref_primary_10_1109_TPWRS_2011_2164558 crossref_primary_10_1109_TPWRS_2022_3159786 crossref_primary_10_1016_j_ejor_2018_12_020 crossref_primary_10_1007_s12351_018_0442_x crossref_primary_10_1016_j_apenergy_2020_116338 crossref_primary_10_1007_s13675_016_0078_7 crossref_primary_10_1016_j_enconman_2015_01_071 crossref_primary_10_1016_j_ijepes_2016_02_024 crossref_primary_10_1016_j_jngse_2016_02_038 crossref_primary_10_1049_iet_smt_2013_0252 crossref_primary_10_3390_en12112179 crossref_primary_10_1109_TII_2015_2470219 crossref_primary_10_1016_j_ijepes_2017_10_035 crossref_primary_10_3390_en7074281 crossref_primary_10_1287_ijoc_2022_0188 crossref_primary_10_1109_TPWRS_2015_2426139 crossref_primary_10_1016_j_renene_2015_11_011 crossref_primary_10_1016_j_apenergy_2016_01_089 crossref_primary_10_1109_ACCESS_2019_2958651 crossref_primary_10_1109_TPWRS_2008_2008675 crossref_primary_10_1088_1755_1315_467_1_012038 crossref_primary_10_1016_j_apenergy_2020_115222 crossref_primary_10_3390_en16114530 crossref_primary_10_1109_TSG_2019_2920529 crossref_primary_10_1016_j_ijepes_2021_107046 crossref_primary_10_1016_j_epsr_2008_05_004 crossref_primary_10_1049_iet_gtd_2015_0806 crossref_primary_10_1007_s12398_012_0089_x crossref_primary_10_1109_TSG_2011_2167992 crossref_primary_10_1109_TPWRS_2014_2297997 crossref_primary_10_32604_ee_2024_046464 crossref_primary_10_1109_TPWRS_2014_2326920 crossref_primary_10_1088_1755_1315_342_1_012016 crossref_primary_10_1109_TSG_2012_2217991 crossref_primary_10_3390_electronics8010009 crossref_primary_10_1109_TPWRS_2015_2399171 crossref_primary_10_1109_TSG_2014_2385801 crossref_primary_10_1109_TPWRS_2017_2783850 crossref_primary_10_1049_iet_rpg_2013_0086 crossref_primary_10_1109_TSTE_2019_2925213 crossref_primary_10_1007_s10878_018_0273_y crossref_primary_10_1016_j_epsr_2020_106821 crossref_primary_10_1016_j_epsr_2023_109979 crossref_primary_10_1016_j_renene_2020_03_006 crossref_primary_10_1016_j_ijepes_2024_110080 crossref_primary_10_1016_j_epsr_2024_111098 crossref_primary_10_1109_TSG_2022_3193030 crossref_primary_10_1016_j_gloei_2020_07_004 crossref_primary_10_3390_math11020346 crossref_primary_10_3390_en13195235 crossref_primary_10_1016_j_ijepes_2014_07_044 crossref_primary_10_1007_s00202_019_00909_3 crossref_primary_10_1109_TPWRS_2011_2158010 crossref_primary_10_1016_j_ijepes_2022_108673 crossref_primary_10_1109_ACCESS_2019_2927024 crossref_primary_10_1109_TPWRS_2023_3303176 crossref_primary_10_1016_j_rser_2014_06_015 crossref_primary_10_1049_iet_gtd_2012_0311 crossref_primary_10_1007_s00291_020_00576_y crossref_primary_10_1109_TII_2018_2890151 crossref_primary_10_1016_j_ijepes_2014_06_012 crossref_primary_10_1007_s40518_019_00126_3 crossref_primary_10_1109_TPWRS_2012_2230029 crossref_primary_10_1109_TPWRS_2012_2201963 crossref_primary_10_1007_s12667_015_0148_6 crossref_primary_10_1016_j_desal_2022_115871 crossref_primary_10_1109_TPWRS_2016_2569533 crossref_primary_10_1109_TPWRS_2009_2032658 crossref_primary_10_1109_TCYB_2019_2921475 crossref_primary_10_1016_j_energy_2023_128593 crossref_primary_10_1111_itor_12557 crossref_primary_10_1016_j_epsr_2020_106878 crossref_primary_10_1016_j_ijepes_2020_105819 crossref_primary_10_1049_rpg2_12390 crossref_primary_10_1109_TPWRS_2017_2775188 crossref_primary_10_1155_2012_178193 crossref_primary_10_1109_TSG_2016_2632622 crossref_primary_10_1109_ACCESS_2022_3150017 crossref_primary_10_1049_iet_gtd_2017_0091 crossref_primary_10_1007_s10287_018_0309_x crossref_primary_10_1109_TSG_2014_2346024 crossref_primary_10_1016_j_energy_2025_135454 crossref_primary_10_1016_j_ijepes_2015_02_039 crossref_primary_10_1016_j_matcom_2020_02_023 crossref_primary_10_1016_j_ijepes_2015_02_033 crossref_primary_10_1016_j_apenergy_2021_117519 crossref_primary_10_1109_TPWRS_2016_2522469 crossref_primary_10_1049_iet_gtd_2018_5102 crossref_primary_10_1007_s12652_019_01231_3 crossref_primary_10_1109_TPWRS_2016_2592507 crossref_primary_10_3390_app9224872 crossref_primary_10_1007_s13675_015_0051_x crossref_primary_10_1109_TPWRS_2019_2902511 crossref_primary_10_1016_j_jclepro_2020_123348 crossref_primary_10_1109_ACCESS_2025_3586753 crossref_primary_10_1007_s10479_011_0847_x crossref_primary_10_1109_TSTE_2020_3034134 crossref_primary_10_1007_s10479_015_2092_1 crossref_primary_10_1049_esi2_12017 crossref_primary_10_3390_en12030425 crossref_primary_10_1109_TSG_2014_2317502 crossref_primary_10_1109_TSTE_2020_2998408 crossref_primary_10_1016_j_apenergy_2023_121374 crossref_primary_10_1109_ACCESS_2021_3093653 crossref_primary_10_1016_j_epsr_2015_06_010 crossref_primary_10_1016_j_ijepes_2011_09_013 crossref_primary_10_1016_j_ejor_2021_11_016 crossref_primary_10_1016_j_enpol_2022_113213 crossref_primary_10_1007_s00291_013_0340_9 crossref_primary_10_1109_JSYST_2021_3069671 crossref_primary_10_1002_tee_22133 crossref_primary_10_1016_j_jprocont_2016_04_008 crossref_primary_10_1007_s11750_019_00521_5 crossref_primary_10_1016_j_est_2022_106400 crossref_primary_10_1109_TSTE_2020_3023251 crossref_primary_10_1109_ACCESS_2020_3015585 crossref_primary_10_1007_s10098_024_02784_4 crossref_primary_10_1088_1755_1315_354_1_012022 crossref_primary_10_1109_TSG_2017_2786668 crossref_primary_10_1016_j_apenergy_2016_01_123 crossref_primary_10_1016_j_segan_2015_12_001 crossref_primary_10_1016_j_apenergy_2018_04_119 crossref_primary_10_1016_j_est_2019_101157 crossref_primary_10_1016_j_energy_2018_06_122 crossref_primary_10_1016_j_ifacol_2016_10_709 crossref_primary_10_1109_TPWRS_2022_3210106 crossref_primary_10_1109_TPWRS_2016_2628877 crossref_primary_10_1115_1_2014_Mar_4 crossref_primary_10_1109_TPWRS_2015_2450776 crossref_primary_10_1007_s42835_020_00521_7 crossref_primary_10_1016_j_ifacol_2023_10_871 crossref_primary_10_1109_ACCESS_2018_2790967 crossref_primary_10_1109_TPWRS_2012_2208126 crossref_primary_10_1016_j_enconman_2025_119529 crossref_primary_10_1109_TPWRS_2018_2827003 crossref_primary_10_3390_en15041296 crossref_primary_10_1007_s10898_017_0514_0 crossref_primary_10_1109_TPWRS_2016_2521326 crossref_primary_10_3389_fenrg_2022_1005577 crossref_primary_10_1049_iet_gtd_2018_6244 crossref_primary_10_1109_TPWRS_2024_3522708 crossref_primary_10_1016_j_epsr_2020_106678 crossref_primary_10_1109_TSTE_2016_2516530 crossref_primary_10_3390_en16083577 crossref_primary_10_1007_s00291_015_0400_4 crossref_primary_10_7603_s40632_014_0017_9 crossref_primary_10_1287_ijoc_2017_0802 crossref_primary_10_3390_su9040602 crossref_primary_10_1016_j_apenergy_2023_122495 crossref_primary_10_3390_en11051111 crossref_primary_10_1007_s40518_020_00158_0 crossref_primary_10_1088_1742_6596_2404_1_012023 crossref_primary_10_1007_s12469_019_00199_9 crossref_primary_10_1109_ACCESS_2021_3119924 crossref_primary_10_1016_j_ijepes_2022_108279 crossref_primary_10_1007_s10878_014_9710_8 crossref_primary_10_1049_gtd2_70022 crossref_primary_10_1109_TPWRS_2025_3525745 crossref_primary_10_1049_iet_gtd_2012_0729 crossref_primary_10_1016_j_jup_2015_03_002 crossref_primary_10_1109_TSG_2018_2871559 crossref_primary_10_1109_TPWRS_2022_3213001 crossref_primary_10_1109_TPWRS_2018_2858574 crossref_primary_10_1016_j_rser_2015_12_083 crossref_primary_10_1109_TPWRS_2021_3081765 crossref_primary_10_1016_j_ejor_2018_05_042 crossref_primary_10_1109_TCST_2013_2295737 crossref_primary_10_1007_s10898_023_01328_2 crossref_primary_10_1109_TPWRS_2013_2259601 crossref_primary_10_3390_en14175454 crossref_primary_10_1016_j_seta_2020_100926 crossref_primary_10_1109_TPWRS_2014_2352318 crossref_primary_10_1109_TPWRS_2019_2930571 crossref_primary_10_1109_TASE_2016_2618948 crossref_primary_10_1002_etep_2132 crossref_primary_10_1016_j_segan_2024_101303 crossref_primary_10_1016_j_apenergy_2011_04_011 crossref_primary_10_1016_j_matpr_2021_03_476 crossref_primary_10_1109_JSYST_2023_3324647 crossref_primary_10_1016_j_jclepro_2022_133757 crossref_primary_10_1016_j_energy_2021_121324 crossref_primary_10_1109_TVT_2023_3271656 crossref_primary_10_3390_en13061468 crossref_primary_10_1109_TNSE_2021_3076929 crossref_primary_10_1016_j_apenergy_2011_11_008 crossref_primary_10_1016_j_scs_2018_05_044 crossref_primary_10_1049_iet_rpg_2016_0397 crossref_primary_10_1109_TVT_2017_2698265 crossref_primary_10_1016_j_apenergy_2017_05_060 crossref_primary_10_1109_TPWRS_2009_2016598 crossref_primary_10_1049_iet_gtd_2012_0739 crossref_primary_10_1016_j_egyr_2023_05_115 crossref_primary_10_3390_en12040657 crossref_primary_10_1007_s00450_017_0362_7 crossref_primary_10_1016_j_segan_2024_101563 crossref_primary_10_1016_j_energy_2017_11_088 crossref_primary_10_1016_j_ijepes_2024_110213 crossref_primary_10_1007_s12667_014_0123_7 crossref_primary_10_1016_j_apenergy_2025_125404 crossref_primary_10_1109_TPWRS_2015_2407054 crossref_primary_10_1016_j_energy_2017_02_063 crossref_primary_10_1007_s40565_016_0264_x crossref_primary_10_1007_s40565_014_0095_6 crossref_primary_10_1109_TSTE_2017_2694882 crossref_primary_10_1016_j_ijepes_2025_110719 crossref_primary_10_1109_TPWRS_2023_3274734 crossref_primary_10_1016_j_enconman_2010_10_034 crossref_primary_10_3390_app9050829 crossref_primary_10_1109_TPWRS_2022_3204563 crossref_primary_10_3390_en14175400 crossref_primary_10_1016_j_epsr_2023_110086 crossref_primary_10_1109_TPWRS_2025_3526634 crossref_primary_10_1016_j_rser_2013_09_020 crossref_primary_10_1016_j_energy_2018_11_154 crossref_primary_10_1088_1755_1315_93_1_012066 crossref_primary_10_3390_su13095058 crossref_primary_10_1016_j_apenergy_2022_118750 crossref_primary_10_1016_j_enpol_2021_112482 crossref_primary_10_1016_j_ijepes_2025_110964 crossref_primary_10_1109_TSG_2013_2278398 crossref_primary_10_1016_j_ijepes_2022_108076 crossref_primary_10_1109_ACCESS_2018_2870736 crossref_primary_10_1109_ACCESS_2022_3201536 crossref_primary_10_1109_TPWRS_2012_2205280 crossref_primary_10_1016_j_compchemeng_2019_03_007 crossref_primary_10_1016_j_compchemeng_2020_106882 crossref_primary_10_1016_j_enconman_2012_07_008 crossref_primary_10_1109_TSG_2011_2172996 crossref_primary_10_3390_en13092339 crossref_primary_10_1109_TPWRS_2014_2302020 crossref_primary_10_3390_infrastructures8020017 crossref_primary_10_1016_j_energy_2019_116203 crossref_primary_10_1016_j_segan_2017_12_007 crossref_primary_10_4028_www_scientific_net_AMM_672_674_493 crossref_primary_10_1016_j_apenergy_2017_06_086 crossref_primary_10_1016_j_ijepes_2023_109156 crossref_primary_10_1016_j_rineng_2023_101191 crossref_primary_10_1016_j_apenergy_2011_11_041 crossref_primary_10_1108_17506221011092779 crossref_primary_10_1007_s11573_019_00937_2 crossref_primary_10_1109_JSYST_2015_2493880 crossref_primary_10_1049_iet_gtd_2013_0199 crossref_primary_10_1002_etep_2187 crossref_primary_10_1016_j_epsr_2022_108939 crossref_primary_10_1016_j_ijepes_2025_110943 crossref_primary_10_1007_s10287_023_00437_3 crossref_primary_10_1016_j_ijepes_2023_109146 crossref_primary_10_1016_j_epsr_2020_106275 crossref_primary_10_1016_j_ifacol_2021_08_546 crossref_primary_10_1016_j_ijepes_2023_109144 crossref_primary_10_1109_TSTE_2019_2894793 crossref_primary_10_1016_j_ijepes_2025_110709 crossref_primary_10_1109_TPWRS_2017_2655078 crossref_primary_10_1287_opre_2016_1576 crossref_primary_10_1016_j_epsr_2012_07_020 crossref_primary_10_1109_TPWRS_2016_2530689 crossref_primary_10_1007_s12398_021_00309_w crossref_primary_10_1049_enc2_12114 crossref_primary_10_3390_en14175439 crossref_primary_10_1016_j_epsr_2019_106180 crossref_primary_10_1080_15325008_2012_694969 crossref_primary_10_1109_JSYST_2017_2730234 crossref_primary_10_1109_JSYST_2020_3047673 crossref_primary_10_1109_TPWRS_2016_2612680 crossref_primary_10_1016_j_renene_2018_03_072 crossref_primary_10_1016_j_renene_2017_08_050 crossref_primary_10_1016_j_epsr_2013_07_014 crossref_primary_10_1109_TSTE_2024_3419097 crossref_primary_10_3390_en9030176 crossref_primary_10_1016_j_cor_2015_06_003 crossref_primary_10_1016_j_enconman_2015_09_066 crossref_primary_10_1109_TSTE_2013_2256377 crossref_primary_10_3390_su15021517 crossref_primary_10_1016_j_epsr_2015_03_002 crossref_primary_10_1080_15325008_2016_1138343 crossref_primary_10_1016_j_apenergy_2021_117181 crossref_primary_10_1016_j_ijepes_2013_01_016 crossref_primary_10_1016_j_ijepes_2019_105701 crossref_primary_10_1007_s11630_020_1274_6 crossref_primary_10_1109_TSG_2020_3031013 crossref_primary_10_1016_j_apenergy_2012_04_024 crossref_primary_10_1109_TPWRS_2013_2286005 crossref_primary_10_1088_1755_1315_192_1_012050 crossref_primary_10_1016_j_esr_2017_09_001 crossref_primary_10_1016_j_ijepes_2015_04_009 crossref_primary_10_1016_j_jprocont_2025_103513 crossref_primary_10_1109_TPWRS_2024_3351435 crossref_primary_10_1049_iet_gtd_2017_0868 crossref_primary_10_1016_j_energy_2016_07_089 crossref_primary_10_1109_TII_2021_3107406 crossref_primary_10_3390_en15176221 crossref_primary_10_1109_TPWRS_2010_2057263 crossref_primary_10_1016_j_renene_2017_09_085 crossref_primary_10_1109_TIA_2019_2921946 crossref_primary_10_1109_TPWRS_2009_2016501 crossref_primary_10_1109_TPWRS_2021_3129084 crossref_primary_10_1109_ACCESS_2020_3008180 crossref_primary_10_1007_s00521_018_3363_y crossref_primary_10_1016_j_epsr_2025_111957 crossref_primary_10_1016_j_energy_2014_02_014 crossref_primary_10_1007_s12351_022_00711_3 crossref_primary_10_1016_j_apenergy_2007_07_007 crossref_primary_10_1016_j_gloei_2020_11_005 crossref_primary_10_1109_TSG_2014_2375251 crossref_primary_10_1016_j_enpol_2015_01_034 crossref_primary_10_1109_TSG_2018_2850439 crossref_primary_10_1109_TPWRS_2019_2960389 crossref_primary_10_1109_TPWRS_2024_3419894 crossref_primary_10_1109_TPWRS_2015_2479644 crossref_primary_10_1109_TPWRS_2013_2251373 crossref_primary_10_1016_j_apenergy_2022_119665 crossref_primary_10_1109_ACCESS_2019_2961961 crossref_primary_10_1109_ACCESS_2020_3010275 crossref_primary_10_1016_j_energy_2018_02_128 crossref_primary_10_1016_j_sciaf_2024_e02357 crossref_primary_10_1016_j_apenergy_2019_01_210 crossref_primary_10_1016_j_cherd_2017_09_013 crossref_primary_10_1002_etep_2302 crossref_primary_10_1093_ijlct_ctae042 crossref_primary_10_1109_TPWRS_2013_2284283 crossref_primary_10_3390_en15072386 crossref_primary_10_1109_TPWRS_2012_2192141 crossref_primary_10_1109_TIA_2019_2956720 crossref_primary_10_1080_02331934_2020_1719492 crossref_primary_10_1016_j_energy_2019_115891 crossref_primary_10_3390_math9212686 crossref_primary_10_1016_j_ijepes_2014_09_010 crossref_primary_10_1016_j_ijepes_2007_10_003 crossref_primary_10_1287_opre_2016_1520 crossref_primary_10_1016_j_ijepes_2018_10_027 crossref_primary_10_3390_en11123527 crossref_primary_10_1016_j_ijepes_2012_08_046 crossref_primary_10_1080_23789689_2019_1708182 crossref_primary_10_1109_TPWRS_2021_3081724 crossref_primary_10_1109_TPWRS_2013_2241795 crossref_primary_10_1109_ACCESS_2019_2924110 crossref_primary_10_1109_TSG_2023_3305326 crossref_primary_10_1016_j_cie_2021_107470 crossref_primary_10_1109_ACCESS_2016_2523545 crossref_primary_10_1016_j_apenergy_2019_01_034 crossref_primary_10_1016_j_energy_2017_07_101 crossref_primary_10_1016_j_rser_2022_112459 crossref_primary_10_1109_JETCAS_2017_2700201 crossref_primary_10_1007_s12667_017_0265_5 crossref_primary_10_1002_etep_2332 crossref_primary_10_1049_iet_gtd_20060321 crossref_primary_10_1049_iet_gtd_2018_5840 crossref_primary_10_1016_j_apenergy_2024_123548 crossref_primary_10_1109_TSG_2017_2765662 crossref_primary_10_1016_j_apenergy_2019_02_063 crossref_primary_10_1002_2050_7038_12662 crossref_primary_10_1016_j_rser_2017_01_069 crossref_primary_10_1007_s00202_023_01890_8 crossref_primary_10_1007_s12667_010_0016_3 crossref_primary_10_1109_TPWRS_2009_2036795 crossref_primary_10_1109_TPWRS_2012_2184307 crossref_primary_10_1016_j_jclepro_2018_11_005 crossref_primary_10_1109_TPWRS_2015_2499442 crossref_primary_10_1049_iet_rpg_2010_0196 crossref_primary_10_1109_TSG_2015_2444813 crossref_primary_10_1016_j_ijepes_2013_11_043 crossref_primary_10_1109_TPWRS_2018_2872927 crossref_primary_10_1109_TEM_2021_3100083 crossref_primary_10_1007_s12667_016_0199_3 crossref_primary_10_3390_resources8010027 crossref_primary_10_1016_j_eswa_2008_06_039 crossref_primary_10_1016_j_apenergy_2007_10_011 crossref_primary_10_1016_j_ifacol_2018_11_403 crossref_primary_10_1049_iet_rpg_2016_0875 crossref_primary_10_1109_TSG_2016_2580575 crossref_primary_10_1109_TPWRS_2012_2184562 crossref_primary_10_1109_TSG_2014_2313612 crossref_primary_10_1002_etep_476 crossref_primary_10_1109_TSG_2016_2580578 crossref_primary_10_1016_j_ijepes_2023_109526 crossref_primary_10_1049_iet_gtd_2012_0289 crossref_primary_10_1109_TPWRS_2015_2512843 crossref_primary_10_1109_ACCESS_2023_3313998 crossref_primary_10_1109_TPWRS_2019_2925317 crossref_primary_10_1016_j_jprocont_2022_08_017 crossref_primary_10_1016_j_rser_2022_112429 crossref_primary_10_1080_15325008_2018_1445141 crossref_primary_10_1002_aic_17741 crossref_primary_10_1109_TPWRS_2011_2171197 crossref_primary_10_1016_j_est_2017_12_009 crossref_primary_10_1155_2014_583157 crossref_primary_10_1109_TSTE_2018_2880919 crossref_primary_10_1002_tee_23265 crossref_primary_10_3390_en12152931 crossref_primary_10_1109_TPWRS_2011_2162008 crossref_primary_10_1109_TPWRS_2022_3167024 crossref_primary_10_1007_s11750_011_0240_6 crossref_primary_10_1049_iet_rpg_2008_0061 crossref_primary_10_1109_TPWRS_2016_2615334 crossref_primary_10_1109_ACCESS_2019_2911632 crossref_primary_10_1109_TSG_2018_2824308 crossref_primary_10_1016_j_epsr_2018_03_019 crossref_primary_10_1016_j_apenergy_2019_05_094 crossref_primary_10_1109_TSG_2015_2476669 crossref_primary_10_1007_s12046_020_01335_z crossref_primary_10_1002_er_4512 crossref_primary_10_1016_j_epsr_2023_109692 crossref_primary_10_1287_opre_2024_0777 crossref_primary_10_1016_j_apenergy_2022_119017 crossref_primary_10_1109_TAC_2020_3008649 crossref_primary_10_1016_j_future_2015_02_011 crossref_primary_10_1016_j_ijepes_2021_107125 crossref_primary_10_1049_iet_gtd_2008_0576 crossref_primary_10_1109_TPWRS_2015_2445826 crossref_primary_10_1109_ACCESS_2017_2741578 crossref_primary_10_1016_j_apenergy_2012_03_043 crossref_primary_10_1016_j_renene_2020_05_154 crossref_primary_10_1155_2010_295645 crossref_primary_10_1109_TSG_2014_2316911 crossref_primary_10_1007_s10288_014_0279_y crossref_primary_10_1016_j_ijepes_2023_109500 crossref_primary_10_1016_j_solener_2009_10_009 crossref_primary_10_1016_j_apenergy_2017_08_147 crossref_primary_10_1109_TCE_2018_2843292 crossref_primary_10_1109_TSTE_2017_2724514 crossref_primary_10_1109_TSG_2013_2258047 crossref_primary_10_1002_2050_7038_12447 crossref_primary_10_1016_j_renene_2016_12_043 crossref_primary_10_1016_j_eneco_2020_104803 crossref_primary_10_3389_fenrg_2022_873377 crossref_primary_10_3390_w10070857 crossref_primary_10_1049_iet_rpg_2008_0080 crossref_primary_10_1080_15325008_2018_1510445 crossref_primary_10_1016_j_energy_2018_07_025 crossref_primary_10_1016_j_ejor_2024_06_012 crossref_primary_10_1049_iet_gtd_2011_0117 crossref_primary_10_1109_TSTE_2020_3017231 crossref_primary_10_1016_j_segan_2018_11_004 crossref_primary_10_1109_ACCESS_2019_2942134 crossref_primary_10_1109_TPWRS_2013_2243923 crossref_primary_10_1109_TPWRS_2011_2161348 crossref_primary_10_1007_s11356_022_20118_z crossref_primary_10_3390_en15103725 crossref_primary_10_1002_etep_280 crossref_primary_10_1016_j_ijepes_2021_107146 crossref_primary_10_1016_j_ijepes_2011_10_025 crossref_primary_10_1109_TPWRS_2010_2100050 crossref_primary_10_1016_j_renene_2019_10_065 crossref_primary_10_1016_j_enpol_2015_03_016 crossref_primary_10_1109_TSTE_2015_2497411 crossref_primary_10_1016_j_compchemeng_2011_03_004 crossref_primary_10_1016_j_renene_2020_10_003 crossref_primary_10_1016_j_ijepes_2018_12_043 crossref_primary_10_1002_2050_7038_12255 crossref_primary_10_1016_j_ijepes_2014_07_004 crossref_primary_10_1016_j_scs_2022_104123 crossref_primary_10_1016_j_apenergy_2017_01_030 crossref_primary_10_1007_s10898_021_01015_0 crossref_primary_10_1016_j_egyr_2019_12_013 crossref_primary_10_1007_s12532_020_00176_5 crossref_primary_10_3390_technologies13060241 crossref_primary_10_1016_j_renene_2021_06_032 crossref_primary_10_3390_app15158481 crossref_primary_10_1002_etep_297 crossref_primary_10_3390_su11092556 crossref_primary_10_1109_TIA_2019_2957432 crossref_primary_10_1016_j_apenergy_2020_115100 crossref_primary_10_1016_j_segan_2022_100644 crossref_primary_10_1016_j_compchemeng_2018_05_001 crossref_primary_10_1109_TPWRS_2018_2792140 crossref_primary_10_1109_TPWRS_2008_926704 crossref_primary_10_1109_TII_2019_2895038 crossref_primary_10_1109_TPWRS_2010_2070848 crossref_primary_10_1016_j_renene_2018_09_110 crossref_primary_10_1016_j_energy_2019_01_014 crossref_primary_10_1080_15325008_2010_492453 crossref_primary_10_1109_TPWRS_2020_2986710 crossref_primary_10_1016_j_energy_2025_138080 crossref_primary_10_1016_j_epsr_2020_106711 crossref_primary_10_1109_TVT_2019_2898461 crossref_primary_10_1088_1755_1315_467_1_012185 crossref_primary_10_1016_j_epsr_2020_106709 crossref_primary_10_1002_etep_1653 crossref_primary_10_1080_01457632_2013_825183 crossref_primary_10_1016_j_ijepes_2020_105906 crossref_primary_10_1109_TSTE_2013_2274818 crossref_primary_10_1016_j_ijepes_2019_105710 crossref_primary_10_3390_en11081939 crossref_primary_10_1049_iet_gtd_2012_0096 crossref_primary_10_1109_ACCESS_2019_2942178 crossref_primary_10_1155_2020_8474375 crossref_primary_10_3390_su11164424
Cites_doi	10.1002/047122412X 10.1109/59.871739 10.1109/59.119267 10.1109/59.867163 10.1109/TPWRS.2002.804953 10.1109/TPAS.1983.318063 10.1109/TPAS.1978.354719 10.1109/59.192933 10.1109/59.801925 10.1109/59.14582 10.1109/59.651636 10.1109/59.574926 10.1109/TPWRS.2003.821611 10.1023/A:1019248506301 10.1109/59.744484 10.1109/TPWRS.2003.821625 10.1109/59.49122 10.1109/59.574930 10.1109/59.192892 10.1109/59.744542 10.1109/59.373928 10.1109/TPWRS.2003.820707 10.1109/TPWRS.2002.807069 10.1109/TPWRS.2003.821472 10.1109/TPWRS.1987.4335130 10.1109/59.485989 10.1109/59.336106 10.1109/TPWRS.2003.811000
ContentType	Journal Article
Copyright	Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2006
Copyright_xml	– notice: Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2006
DBID	97E RIA RIE AAYXX CITATION 7SP 7TB 8FD FR3 KR7 L7M F28
DOI	10.1109/TPWRS.2006.876672
DatabaseName	IEEE Xplore (IEEE) IEEE All-Society Periodicals Package (ASPP) 1998–Present IEEE Electronic Library (IEL) CrossRef Electronics & Communications Abstracts Mechanical & Transportation Engineering Abstracts Technology Research Database Engineering Research Database Civil Engineering Abstracts Advanced Technologies Database with Aerospace ANTE: Abstracts in New Technology & Engineering
DatabaseTitle	CrossRef Civil Engineering Abstracts Engineering Research Database Technology Research Database Mechanical & Transportation Engineering Abstracts Advanced Technologies Database with Aerospace Electronics & Communications Abstracts ANTE: Abstracts in New Technology & Engineering
DatabaseTitleList	Civil Engineering Abstracts
Database_xml	– sequence: 1 dbid: RIE name: IEEE Electronic Library (IEL) url: https://ieeexplore.ieee.org/ sourceTypes: Publisher
DeliveryMethod	fulltext_linktorsrc
Discipline	Engineering
EISSN	1558-0679
EndPage	1378
ExternalDocumentID	2343790671 10_1109_TPWRS_2006_876672 1664974
Genre	orig-research
GroupedDBID	-~X .DC 0R~ 29I 3EH 4.4 5GY 5VS 6IK 85S 97E AAJGR AARMG AASAJ AAWTH ABAZT ABFSI ABQJQ ABVLG ACGFO ACGFS ACIWK ACKIV AENEX AETIX AGQYO AGSQL AHBIQ AI. AIBXA AKJIK AKQYR ALLEH ALMA_UNASSIGNED_HOLDINGS ASUFR ATWAV BEFXN BFFAM BGNUA BKEBE BPEOZ CS3 DU5 E.L EBS EJD HZ~ H~9 ICLAB IFIPE IFJZH IPLJI JAVBF LAI M43 MS~ O9- OCL P2P RIA RIE RNS TAE TN5 VH1 VJK AAYXX CITATION 7SP 7TB 8FD FR3 KR7 L7M RIG F28
ID	FETCH-LOGICAL-c390t-bc5e399d227c7c152c0ab23fc0d2f77751dd9a5e47b31fb07df6f2c82e776af73
IEDL.DBID	RIE
ISICitedReferencesCount	1279
ISICitedReferencesURI	http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000239355300040&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN	0885-8950
IngestDate	Thu Oct 02 11:53:09 EDT 2025 Mon Jun 30 06:32:13 EDT 2025 Sat Nov 29 05:36:50 EST 2025 Tue Nov 18 21:05:10 EST 2025 Wed Aug 27 02:51:35 EDT 2025
IsPeerReviewed	true
IsScholarly	true
Issue	3
Language	English
License	https://ieeexplore.ieee.org/Xplorehelp/downloads/license-information/IEEE.html
LinkModel	DirectLink
MergedId	FETCHMERGED-LOGICAL-c390t-bc5e399d227c7c152c0ab23fc0d2f77751dd9a5e47b31fb07df6f2c82e776af73
Notes	ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 14 content type line 23
PQID	865837129
PQPubID	85441
PageCount	8
ParticipantIDs	crossref_primary_10_1109_TPWRS_2006_876672 proquest_miscellaneous_896168677 proquest_journals_865837129 crossref_citationtrail_10_1109_TPWRS_2006_876672 ieee_primary_1664974
PublicationCentury	2000
PublicationDate	2006-08-01
PublicationDateYYYYMMDD	2006-08-01
PublicationDate_xml	– month: 08 year: 2006 text: 2006-08-01 day: 01
PublicationDecade	2000
PublicationPlace	New York
PublicationPlace_xml	– name: New York
PublicationTitle	IEEE transactions on power systems
PublicationTitleAbbrev	TPWRS
PublicationYear	2006
Publisher	IEEE The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher_xml	– name: IEEE – name: The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
References	ref13 ref12 bixby (ref29) 2000 ref37 ref15 nemhauser (ref28) 1999 ref14 ref33 ref11 ref32 ref10 wood (ref1) 1996 ref2 (ref30) 2006 ref17 ref16 ref19 ref18 bradley (ref34) 1977 murtagh (ref35) 2006 ref24 ref23 ref26 ref25 ref20 ref22 ref21 (ref3) 2002 ref27 ref8 (ref31) 2006 ref7 ref9 ref4 ref6 ref5 (ref36) 2006
References_xml	– ident: ref2 doi: 10.1002/047122412X – ident: ref32 doi: 10.1109/59.871739 – ident: ref9 doi: 10.1109/59.119267 – ident: ref37 doi: 10.1109/59.867163 – ident: ref24 doi: 10.1109/TPWRS.2002.804953 – ident: ref12 doi: 10.1109/TPAS.1983.318063 – year: 2006 ident: ref36 publication-title: The GAMS Development Corporation Website – year: 2006 ident: ref35 publication-title: GAMS The Solver Manuals – ident: ref10 doi: 10.1109/TPAS.1978.354719 – ident: ref13 doi: 10.1109/59.192933 – ident: ref23 doi: 10.1109/59.801925 – ident: ref8 doi: 10.1109/59.14582 – ident: ref20 doi: 10.1109/59.651636 – ident: ref16 doi: 10.1109/59.574926 – ident: ref27 doi: 10.1109/TPWRS.2003.821611 – year: 2006 ident: ref30 publication-title: The ILOG CPLEX Website – start-page: 19 year: 2000 ident: ref29 publication-title: System Modeling and Optimization Methods Theory and Applications – year: 2002 ident: ref3 publication-title: Remedying Undue Discrimination Through Open Access Transmission Service and Standard Electricity Market Design Notice of Proposed Rulemaking – ident: ref33 doi: 10.1023/A:1019248506301 – ident: ref17 doi: 10.1109/59.744484 – year: 1996 ident: ref1 publication-title: Power Generation Operation and Control – ident: ref26 doi: 10.1109/TPWRS.2003.821625 – ident: ref19 doi: 10.1109/59.49122 – ident: ref5 doi: 10.1109/59.574930 – ident: ref4 doi: 10.1109/59.192892 – ident: ref11 doi: 10.1109/59.744542 – year: 1977 ident: ref34 publication-title: Applied Mathematical Programming – ident: ref15 doi: 10.1109/59.373928 – ident: ref18 doi: 10.1109/TPWRS.2003.820707 – ident: ref21 doi: 10.1109/TPWRS.2002.807069 – year: 2006 ident: ref31 publication-title: The Dash XPRESS Website – ident: ref25 doi: 10.1109/TPWRS.2003.821472 – year: 1999 ident: ref28 publication-title: Integer and Combinatorial Optimization – ident: ref7 doi: 10.1109/TPWRS.1987.4335130 – ident: ref22 doi: 10.1109/59.485989 – ident: ref14 doi: 10.1109/59.336106 – ident: ref6 doi: 10.1109/TPWRS.2003.811000
SSID	ssj0006679
Score	2.4791038
Snippet	This paper presents a new mixed-integer linear formulation for the unit commitment problem of thermal units. The formulation proposed requires fewer binary...
SourceID	proquest crossref ieee
SourceType	Aggregation Database Enrichment Source Index Database Publisher
StartPage	1371
SubjectTerms	Algorithms Computation Computational efficiency Computer simulation Cost function ISO standards Large-scale systems Linear programming Mathematical analysis Mathematical models Mixed-integer linear programming (MILP) Piecewise linear techniques Power generation Power systems Production Spinning thermal generating units Time factors Unit commitment
Title	A computationally efficient mixed-integer linear formulation for the thermal unit commitment problem
URI	https://ieeexplore.ieee.org/document/1664974 https://www.proquest.com/docview/865837129 https://www.proquest.com/docview/896168677
Volume	21
WOSCitedRecordID	wos000239355300040&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
hasFullText	1
inHoldings	1
isFullTextHit
isPrint
journalDatabaseRights	– providerCode: PRVIEE databaseName: IEEE Electronic Library (IEL) customDbUrl: eissn: 1558-0679 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0006679 issn: 0885-8950 databaseCode: RIE dateStart: 19860101 isFulltext: true titleUrlDefault: https://ieeexplore.ieee.org/ providerName: IEEE
link	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1LS8QwEB5c8aAH3-L6IgdPYjRtt0lzFFE8ifhAb6VNJrCwD1l3Rf-9k6S7KorgoRBoEkomk3ydSb4P4JDmbabROU5wV_OOrRNeYKfmlRQEzw0SKI1iE-r6unh60jdzcDy7C4OI4fAZnvhiyOXboZn4UNlpImWH8G8LWkrJeFdrtupKGXn1iiLnhc6nGcxE6NP7m8fbu5h3IN-XKv22BwVRlR8rcdheLlf-92GrsNzASHYW7b4GczhYh6Uv5IIbYM-YCZINTbiv984w8EVQV6zffUPLA1cEjpiHmtWIefzaqHn5MiNs6B9auntsQq7v--t3w7F01gjRbMLD5cX9-RVvNBW4ybQY89rkSJjEpqkyytDmbURVp5kzwqZOKZUn1uoqx46qs8TVQlknXWqKFGnIK6eyLZgfDAe4DSyt0NbO8_EJH0iqPfcdoUvnbGI1oao2iOkol6YhHPe6F70y_HgIXQbDeCFMWUbDtOFo1uQ5sm38VXnDW-KzYjRCG3anpiwbf3wpCwJamSJs0wY2e0uO5LMj1QCHE6qiZSI9u9_O7_3uwmIMv_jDf3swPx5NcB8WzOu4-zI6CJPxA_Dk3t8
linkProvider	IEEE
linkToHtml	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1La9wwEB7StND2kLZ5kE360KGnUmVley1Zx1AaUrpdlnZLcjO2NIKFfZR9hOTfd0b2bltSCj0YBB4L49FIn2ek7wN4S-M2sxiCJLhrZc_XiSywV8tKK4LnDgmUNmITZjAorq_tcAfeb8_CIGLcfIZn3Iy1fD93a06VdROte4R_H8BDVs5qT2tt512tG2a9oshlYfNNDTNRtjsaXn391lQeKPq1Sf9YhaKsyr25OC4wF8_-79Wew14LJMV54_kXsIOzfXj6G73gAfhz4aJoQ5vwm9wJjIwR1JWYjm_Ry8gWgQvBYLNaCEawrZ4XtwWhQ75o8p6INQU_9zcdx43popWiOYTvFx9HHy5lq6ogXWbVStYuR0IlPk2NM46Wb6eqOs2CUz4Nxpg88d5WOfZMnSWhVsYHHVJXpGiMroLJjmB3Np_hMYi0Ql8HZuRTnEqqmf2O8GUIPvGWcFUH1OYrl66lHGfli0kZfz2ULaNjWApTl41jOvBu-8iPhm_jX8YH7Ilfho0TOnC6cWXZRuSyLAhqZYbQTQfE9i6FEtdHqhnO12RidaKZ3-_k7_2-gceXoy_9sv9p8PkUnjTJGN4K-BJ2V4s1voJH7mY1Xi5ex4H5E7AA4ig
openUrl	ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=A+computationally+efficient+mixed-integer+linear+formulation+for+the+thermal+unit+commitment+problem&rft.jtitle=IEEE+transactions+on+power+systems&rft.au=Carrion%2C+M.&rft.au=Arroyo%2C+J.M.&rft.date=2006-08-01&rft.pub=IEEE&rft.issn=0885-8950&rft.volume=21&rft.issue=3&rft.spage=1371&rft.epage=1378&rft_id=info:doi/10.1109%2FTPWRS.2006.876672&rft.externalDocID=1664974
thumbnail_l	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0885-8950&client=summon
thumbnail_m	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0885-8950&client=summon
thumbnail_s	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0885-8950&client=summon