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) 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.

[1]  J. K. Korczynski,et al.  Application of transmission reliability assessment in probabilistic planning of BC Hydro Vancouver South Metro system , 1995 .

[2]  A. David,et al.  Transmission congestion management in an electricity market , 1999 .

[3]  K. Tomsovic.  A fuzzy linear programming approach to the reactive power/voltage control problem , 1992 .

[4]  Arturo Losi.  Trade curtailment schemes for the security control of the transmission network in a deregulated environment , 2002 .

[5]  W. Ongsakul,et al.  Coordinated fuzzy constrained optimal power dispatch for bilateral contract, balancing electricity, and ancillary services markets , 2005, IEEE Transactions on Power Systems.

[6]  L. Lasdon,et al.  Nonlinear Optimization by Successive Linear Programming , 1982 .

[7]  Xiaohong Guan,et al.  Fuzzy constraint enforcement and control action curtailment in an optimal power flow , 1995 .

[8]  D. J. Sobajic,et al.  Fuzzy linear programming based optimal power system rescheduling including preventive redispatch , 1999 .

[9]  Elham B. Makram,et al.  Optimal load curtailment as a bi-criteria program , 2003 .

[10]  M.J.H. Sterling,et al.  Voltage collapse proximity indicator: behaviour and implications , 1992 .

[11]  Nirmal-Kumar C. Nair,et al.  Voltage stability constrained load curtailment procedure to evaluate power system reliability measures , 2002, 2002 IEEE Power Engineering Society Winter Meeting. Conference Proceedings (Cat. No.02CH37309).

[12]  João Tomé Saraiva,et al.  Generation/transmission power system reliability evaluation by Monte-Carlo simulation assuming a fuzzy load description , 1995 .