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
Hlavní autori: Liu, Sige, Fan, Mingtian, Zhou, Xiaoxin, Cheng, Haozhong
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Chichester, UK John Wiley & Sons, Ltd 01.11.2010
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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.
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
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  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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Issue 8
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_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.
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  start-page: 593
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  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
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  start-page: 877
  year: 1999
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  publication-title: Electric Power Systems Research
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  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
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  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
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  doi: 10.1109/59.496140
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– volume-title: Fuzzy set theory and its application
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Snippet In this paper, the optimal load curtailment (OLC) problem is formulated as a multi‐objective optimization framework, which objectives include maximizing the...
In this paper, the optimal load curtailment (OLC) problem is formulated as a multi-objective optimization framework, which objectives include maximizing the...
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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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