Static security in power system operation with fuzzy real load conditions

This paper presents a mathematical formulation for optimal power flow (OPF) taking into account the fuzzy modeling of static power system security constraints due to the uncertainty in bus loads. Uncertainties in MW loads and generations are translated into possibility distribution functions. The fuzzy OPF problem is decomposed, via Dantzig-Wolfe decomposition, into subproblems corresponding to the possibility distributions of loads. The effects of phase shifters are modeled as equivalent real power injections at corresponding system buses, which preserves the Y-bus symmetry and maintains minimum memory requirements. Contingency constraints are added to the fuzzy OPF problem. Fuzzy sets are utilized to exercise a tighter control on least cost real power generation with minimum emission dispatch solution. The final solution is a compromise among cost, static security and emission considerations. Numerical results for the application of the proposed approach to test systems are discussed. >

[1]  G. Dantzig,et al.  THE DECOMPOSITION ALGORITHM FOR LINEAR PROGRAMS , 1961 .

[2]  Goran Andersson,et al.  Power flow control by use of controllable series components , 1993 .

[3]  S. M. Shahidehpour,et al.  A New Approach for Minimizing Power Losses and Improving Voltage Profile , 1987, IEEE Transactions on Power Systems.

[4]  S. M. Shahidehpour,et al.  Linear programming applications to power system economics, planning and operations , 1992 .

[5]  Fernando L. Alvarado,et al.  Interval arithmetic in power flow analysis , 1991 .

[6]  Shinichi Iwamoto,et al.  Optimal power flow solution using fuzzy mathematical programming , 1988 .

[7]  S. M. Shahidehpour,et al.  Linear reactive power optimization in a large power network using the decomposition approach , 1990 .

[8]  Vladimiro Miranda,et al.  Fuzzy modelling of power system optimal load flow , 1991 .

[9]  S. M. Shahidehpour,et al.  Application of fuzzy sets to optimal reactive power planning with security constraints , 1993 .

[10]  João Tomé Saraiva,et al.  Impact on some planning decisions from a fuzzy modelling of power systems , 1993 .

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

[12]  João Tomé Saraiva,et al.  Fuzzy Load Flow-New Algorithms Incorporating Uncertain Generation and Load Representation , 1990 .

[13]  S. M. Shahidehpour,et al.  A Heuristic Approach to Load Shedding Scheme , 1989, IEEE Power Engineering Review.

[14]  S. M. Shahidehpour,et al.  Optimal reactive power dispatch with fuzzy variables , 1993, 1993 IEEE International Symposium on Circuits and Systems.

[15]  S.N. Talukdar,et al.  Computer-aided dispatch for electric power systems , 1981, Proceedings of the IEEE.

[16]  Z. X. Han.  Phase Shifter and Power Flow Control , 1982, IEEE Power Engineering Review.

[17]  João Tomé Saraiva,et al.  Generation and load uncertainties incorporated in load flow studies , 1991, [1991 Proceedings] 6th Mediterranean Electrotechnical Conference.

[18]  B. Stott,et al.  Further developments in LP-based optimal power flow , 1990 .

[19]  O. Alsac,et al.  Optimal Load Flow with Steady-State Security , 1974 .

[20]  I Deeb,et al.  Decomposition Approach For Minimising Real Power Losses in Power Systems(Continued) , 1991 .

[21]  S. M. Shahidehpour,et al.  AI approach to optimal VAr control with fuzzy reactive loads , 1995 .

[22]  S. M. Shahidehpour,et al.  A fuzzy-based optimal reactive power control , 1993 .

[23]  S. M. Shahidehpour,et al.  Reactive power optimization using fuzzy load representation , 1994 .