Optimal load curtailment using multi-objective fuzzy linear programming method
In this paper, the optimal load curtailment (OLC) problem is formulated as a multi‐objective optimization framework, which objectives include maximizing the security margin and minimizing the cost incurred for load curtailment. A new and comprehensive multi‐objective fuzzy linear programming (MFLP)...
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| Vydané v: | European transactions on electrical power Ročník 20; číslo 8; s. 1025 - 1039 |
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| Hlavní autori: | , , , |
| Médium: | Journal Article |
| Jazyk: | English |
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Chichester, UK
John Wiley & Sons, Ltd
01.11.2010
Wiley |
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| ISSN: | 1430-144X, 1546-3109, 1546-3109 |
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| Abstract | In this paper, the optimal load curtailment (OLC) problem is formulated as a multi‐objective optimization framework, which objectives include maximizing the security margin and minimizing the cost incurred for load curtailment. A new and comprehensive multi‐objective fuzzy linear programming (MFLP) method is developed to solve this presented OLC model. Using the MFLP method, objectives and constrains of the OLC model are fuzzied and their enforcements are maximized. The MFLP model can deal with the uncertainties that exist in certain variables and overcome the limitations of minor constraint violations in normal LP model. The effectiveness of the developed method is tested on the modified IEEE 30 bus system and the IEEE 118 bus system. Copyright © 2009 John Wiley & Sons, Ltd. |
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| AbstractList | In this paper, the optimal load curtailment (OLC) problem is formulated as a multi‐objective optimization framework, which objectives include maximizing the security margin and minimizing the cost incurred for load curtailment. A new and comprehensive multi‐objective fuzzy linear programming (MFLP) method is developed to solve this presented OLC model. Using the MFLP method, objectives and constrains of the OLC model are fuzzied and their enforcements are maximized. The MFLP model can deal with the uncertainties that exist in certain variables and overcome the limitations of minor constraint violations in normal LP model. The effectiveness of the developed method is tested on the modified IEEE 30 bus system and the IEEE 118 bus system. Copyright © 2009 John Wiley & Sons, Ltd. In this paper, the optimal load curtailment (OLC) problem is formulated as a multi-objective optimization framework, which objectives include maximizing the security margin and minimizing the cost incurred for load curtailment. A new and comprehensive multi-objective fuzzy linear programming (MFLP) method is developed to solve this presented OLC model. Using the MFLP method, objectives and constrains of the OLC model are fuzzied and their enforcements are maximized. The MFLP model can deal with the uncertainties that exist in certain variables and overcome the limitations of minor constraint violations in normal LP model. The effectiveness of the developed method is tested on the modified IEEE 30 bus system and the IEEE 118 bus system. |
| Author | Cheng, Haozhong Fan, Mingtian Liu, Sige Zhou, Xiaoxin |
| Author_xml | – sequence: 1 givenname: Sige surname: Liu fullname: Liu, Sige email: sgliu@epri.ac.cn organization: Department of Electrical Engineering, Shanghai Jiaotong University, Shanghai 200240, PR China – sequence: 2 givenname: Mingtian surname: Fan fullname: Fan, Mingtian organization: China Electric Power Research Institute, Beijing 100192, PR China – sequence: 3 givenname: Xiaoxin surname: Zhou fullname: Zhou, Xiaoxin organization: Department of Electrical Engineering, Shanghai Jiaotong University, Shanghai 200240, PR China – sequence: 4 givenname: Haozhong surname: Cheng fullname: Cheng, Haozhong organization: Department of Electrical Engineering, Shanghai Jiaotong University, Shanghai 200240, PR China |
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| Cites_doi | 10.1109/59.387940 10.1109/PESW.2002.985109 10.1109/59.141716 10.1016/S0378-7796(03)00079-8 10.1109/TPWRS.2006.873113 10.1109/59.496140 10.1109/59.496133 10.1049/ip-c.1992.0037 10.1109/59.761876 10.1109/59.780898 10.1007/978-1-4615-1465-7 10.1016/S0142-0615(01)00011-4 10.1287/mnsc.28.10.1106 |
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| Keywords | Performance evaluation security margin index Multiobjective programming Linear programming Fuzzy programming optimal load curtailment Bus system Load management IEEE standards Safety Effectiveness factor fuzzy linear programming multi-objective Load modeling |
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| References | Bhattacharya K, Bollen MHJ, Daalder JE. Operation of restructured power systems; 1st edn, Kluwer Academic Publishers: Boston, MA, 2001. Huang GM, Nair N-KC. Voltage stability constrained load curtailment procedure to evaluate power system reliability measures. IEEE Power Engineering Society Winter Meeting 2002; 2: 761-765. Lossi A. Trade curtailment schemes for the security control of the transmission network in a deregulated environment. International Journal of Electrical Power & Energy Systems 2002; 24: 9-17. Manjure DP, Makram EB. Optimal load curtailment as a bi-criteria program. Electric Power Systems Research 2003; 66: 155-161. Zimmermann HJ. Fuzzy set theory and its application; 2nd edn, Kluwer: Boston, 1994. Ongsakul W, Chayakaulkheeree K. Coordinated fuzzy constrained optimal power dispatch for bilateral contract, balancing e electricity, and ancillary services. IEEE Transactions on Power Systems 2006; 21: 593-604. Tomsovic K. Fuzzy linear programming approach to the reactive power/voltage control problem. IEEE Transactions on Power Systems 1992; 7: 287-293. Palacios-Gomez F, Lasdon L, Engquist M. Nonlinear optimization by successive linear programming. Management Science 1982; 28: 1106-1120. Chebbo AM, Irving MR, Sterling MJH. Voltage collapse proximity indicator behavior and implications. IEE Proceeding Generation Transmission Distribution 1992; 193: 241-252. Vlaisavljevic D, Djukanovic MB, Sobajic DJ, et al. Fuzzy linear programming based optimal power system rescheduling including preventive redispatch. IEEE Transaction on Power System 1999; 14: 525-531. Li W, Mansour Y, Korczynski JK, Mills BJ. Application of transmission reliability assessment in probabilistic planning of BC hydro vancouver south metro system. IEEE Transactions on Power Systems 1995; 10: 964-970. Saraiva JT, Miranda V, Pinto LMVG, et al. Generation/transmission power system reliability evaluation by Monte-Carlo simulation assuming a fuzzy load description. IEEE Transactions on Power Systems 1996; 11: 690-695. Liu WHE, Guan X. Fuzzy constraint enforcement and control action curtailment in an optimal power flow. IEEE Transactions on Power Systems 1996; 11: 639-645. Fang RS, David AK. Transmission congestion management in an electricity market. IEEE Transactions on Power Systems 1999; 14: 877-883. 2002; 2 1992; 7 1994 1982; 28 1992; 193 2001 2006; 21 2002; 24 2003; 66 1999; 14 1995; 10 1996; 11 e_1_2_9_10_2 e_1_2_9_12_2 e_1_2_9_11_2 Zimmermann HJ (e_1_2_9_14_2) 1994 e_1_2_9_7_2 e_1_2_9_6_2 e_1_2_9_5_2 e_1_2_9_4_2 e_1_2_9_3_2 e_1_2_9_2_2 e_1_2_9_9_2 e_1_2_9_8_2 e_1_2_9_13_2 e_1_2_9_16_2 e_1_2_9_15_2 |
| References_xml | – reference: Saraiva JT, Miranda V, Pinto LMVG, et al. Generation/transmission power system reliability evaluation by Monte-Carlo simulation assuming a fuzzy load description. IEEE Transactions on Power Systems 1996; 11: 690-695. – reference: Bhattacharya K, Bollen MHJ, Daalder JE. Operation of restructured power systems; 1st edn, Kluwer Academic Publishers: Boston, MA, 2001. – reference: Tomsovic K. Fuzzy linear programming approach to the reactive power/voltage control problem. IEEE Transactions on Power Systems 1992; 7: 287-293. – reference: Li W, Mansour Y, Korczynski JK, Mills BJ. Application of transmission reliability assessment in probabilistic planning of BC hydro vancouver south metro system. IEEE Transactions on Power Systems 1995; 10: 964-970. – reference: Lossi A. Trade curtailment schemes for the security control of the transmission network in a deregulated environment. International Journal of Electrical Power & Energy Systems 2002; 24: 9-17. – reference: Huang GM, Nair N-KC. Voltage stability constrained load curtailment procedure to evaluate power system reliability measures. IEEE Power Engineering Society Winter Meeting 2002; 2: 761-765. – reference: Palacios-Gomez F, Lasdon L, Engquist M. Nonlinear optimization by successive linear programming. Management Science 1982; 28: 1106-1120. – reference: Vlaisavljevic D, Djukanovic MB, Sobajic DJ, et al. Fuzzy linear programming based optimal power system rescheduling including preventive redispatch. IEEE Transaction on Power System 1999; 14: 525-531. – reference: Ongsakul W, Chayakaulkheeree K. Coordinated fuzzy constrained optimal power dispatch for bilateral contract, balancing e electricity, and ancillary services. IEEE Transactions on Power Systems 2006; 21: 593-604. – reference: Chebbo AM, Irving MR, Sterling MJH. Voltage collapse proximity indicator behavior and implications. IEE Proceeding Generation Transmission Distribution 1992; 193: 241-252. – reference: Liu WHE, Guan X. Fuzzy constraint enforcement and control action curtailment in an optimal power flow. IEEE Transactions on Power Systems 1996; 11: 639-645. – reference: Zimmermann HJ. Fuzzy set theory and its application; 2nd edn, Kluwer: Boston, 1994. – reference: Fang RS, David AK. Transmission congestion management in an electricity market. IEEE Transactions on Power Systems 1999; 14: 877-883. – reference: Manjure DP, Makram EB. Optimal load curtailment as a bi-criteria program. Electric Power Systems Research 2003; 66: 155-161. – volume: 21 start-page: 593 year: 2006 end-page: 604 article-title: Coordinated fuzzy constrained optimal power dispatch for bilateral contract, balancing e electricity, and ancillary services publication-title: IEEE Transactions on Power Systems – volume: 2 start-page: 761 year: 2002 end-page: 765 article-title: Voltage stability constrained load curtailment procedure to evaluate power system reliability measures publication-title: IEEE Power Engineering Society Winter Meeting – volume: 11 start-page: 639 year: 1996 end-page: 645 article-title: Fuzzy constraint enforcement and control action curtailment in an optimal power flow publication-title: IEEE Transactions on Power Systems – volume: 14 start-page: 877 year: 1999 end-page: 883 article-title: Transmission congestion management in an electricity market publication-title: IEEE Transactions on Power Systems – volume: 24 start-page: 9 year: 2002 end-page: 17 article-title: Trade curtailment schemes for the security control of the transmission network in a deregulated environment publication-title: International Journal of Electrical Power & Energy Systems – year: 2001 – volume: 14 start-page: 525 year: 1999 end-page: 531 article-title: Fuzzy linear programming based optimal power system rescheduling including preventive redispatch publication-title: IEEE Transaction on Power System – start-page: 234 year: 2001 end-page: 235 – volume: 28 start-page: 1106 year: 1982 end-page: 1120 article-title: Nonlinear optimization by successive linear programming publication-title: Management Science – volume: 66 start-page: 155 year: 2003 end-page: 161 article-title: Optimal load curtailment as a bi‐criteria program publication-title: Electric Power Systems Research – volume: 10 start-page: 964 year: 1995 end-page: 970 article-title: Application of transmission reliability assessment in probabilistic planning of BC hydro vancouver south metro system publication-title: IEEE Transactions on Power Systems – volume: 11 start-page: 690 year: 1996 end-page: 695 article-title: Generation/transmission power system reliability evaluation by Monte‐Carlo simulation assuming a fuzzy load description publication-title: IEEE Transactions on Power Systems – volume: 7 start-page: 287 year: 1992 end-page: 293 article-title: Fuzzy linear programming approach to the reactive power/voltage control problem publication-title: IEEE Transactions on Power Systems – year: 1994 – volume: 193 start-page: 241 year: 1992 end-page: 252 article-title: Voltage collapse proximity indicator behavior and implications publication-title: IEE Proceeding Generation Transmission Distribution – ident: e_1_2_9_6_2 doi: 10.1109/59.387940 – ident: e_1_2_9_8_2 doi: 10.1109/PESW.2002.985109 – ident: e_1_2_9_11_2 doi: 10.1109/59.141716 – ident: e_1_2_9_7_2 doi: 10.1016/S0378-7796(03)00079-8 – ident: e_1_2_9_10_2 doi: 10.1109/TPWRS.2006.873113 – ident: e_1_2_9_9_2 doi: 10.1109/59.496140 – ident: e_1_2_9_12_2 doi: 10.1109/59.496133 – ident: e_1_2_9_4_2 – ident: e_1_2_9_16_2 doi: 10.1049/ip-c.1992.0037 – ident: e_1_2_9_15_2 doi: 10.1109/59.761876 – ident: e_1_2_9_3_2 doi: 10.1109/59.780898 – ident: e_1_2_9_2_2 doi: 10.1007/978-1-4615-1465-7 – ident: e_1_2_9_5_2 doi: 10.1016/S0142-0615(01)00011-4 – ident: e_1_2_9_13_2 doi: 10.1287/mnsc.28.10.1106 – volume-title: Fuzzy set theory and its application year: 1994 ident: e_1_2_9_14_2 |
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| SubjectTerms | Applied sciences Buses (vehicles) Cost engineering Electrical engineering. Electrical power engineering Electrical power engineering Exact sciences and technology Fuzzy fuzzy linear programming Fuzzy logic Fuzzy set theory Linear programming Mathematical models multi-objective Operation. Load control. Reliability optimal load curtailment Optimization Power networks and lines security margin index |
| Title | Optimal load curtailment using multi-objective fuzzy linear programming method |
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