Optimal Power Flow by Enhanced Genetic Algorithm

This paper presents an enhanced genetic algorithm for the solution of the optimal power flow with both continuous and discrete control variables. The continuous control variables modeled are unit active power outputs and generator-bus voltage magnitudes, while the discrete ones are transformer-tap settings and switchable shunt devices. A number of functional operating constraints, such as branch flow limits, load bus voltage magnitude limits, and generator reactive capabilities are included as penalties in the genetic algorithm fitness function. Advanced and problem-specific operators are introduced in order to enhance the algorithm's efficiency and accuracy. Numerical results on two test systems are presented and compared with results of other approaches.

[1]  I. Wangensteen,et al.  Transmission management in the deregulated environment , 2000, Proceedings of the IEEE.

[2]  James A. Momoh,et al.  Improved interior point method for OPF problems , 1999 .

[3]  Mohammad Shahidehpour,et al.  The IEEE Reliability Test System-1996. A report prepared by the Reliability Test System Task Force of the Application of Probability Methods Subcommittee , 1999 .

[4]  T. Numnonda,et al.  Optimal power dispatch in multinode electricity market using genetic algorithm , 1999 .

[5]  R. Adapa,et al.  A review of selected optimal power flow literature to 1993. II. Newton, linear programming and interior point methods , 1999 .

[6]  R. Adapa,et al.  A review of selected optimal power flow literature to 1993. I. Nonlinear and quadratic programming approaches , 1999 .

[7]  G. L. Torres,et al.  An interior-point method for nonlinear optimal power flow using voltage rectangular coordinates , 1998 .

[8]  Vassilios Petridis,et al.  Varying fitness functions in genetic algorithm constrained optimization: the cutting stock and unit commitment problems , 1998, IEEE Trans. Syst. Man Cybern. Part B.

[9]  Luonan Chen,et al.  Mean field theory for optimal power flow , 1997 .

[10]  C. S. Chen,et al.  Application of load survey systems to proper tariff design , 1997 .

[11]  R. Yokoyama,et al.  Improved genetic algorithms for optimal power flow under both normal and contingent operation states , 1997 .

[12]  S. Matoba,et al.  Surrogate constraint method for optimal power flow , 1997, Proceedings of the 20th International Conference on Power Industry Computer Applications.

[13]  Hua Wei,et al.  An interior point nonlinear programming for optimal power flow problems with a novel data structure , 1997, Proceedings of the 20th International Conference on Power Industry Computer Applications.

[14]  R. Bacher,et al.  Unlimited point algorithm for OPF problems , 1997, Proceedings of the 20th International Conference on Power Industry Computer Applications.

[15]  James A. Momoh,et al.  Challenges to optimal power flow , 1997 .

[16]  W. Tinney,et al.  Discrete Shunt Controls in Newton Optimal Power Flow , 1992, IEEE Power Engineering Review.

[17]  Lawrence. Davis,et al.  Handbook Of Genetic Algorithms , 1990 .

[18]  James A. Momoh,et al.  A generalized quadratic-based model for optimal power flow , 1989, Conference Proceedings., IEEE International Conference on Systems, Man and Cybernetics.

[19]  Larry J. Eshelman,et al.  Biases in the Crossover Landscape , 1989, ICGA.

[20]  Lawrence Davis,et al.  Adapting Operator Probabilities in Genetic Algorithms , 1989, ICGA.

[21]  Felix F. Wu,et al.  Large-scale optimal power flow , 1989 .

[22]  Felix F. Wu,et al.  Large-Scale Optimal Power Flow: Effects of Initialization, Decoupling & Discretization , 1989, IEEE Power Engineering Review.

[23]  W. F. Tinney,et al.  Some deficiencies in optimal power flow , 1988 .

[24]  S.-K. Chang,et al.  Adjusted solutions in fast decoupled load flow , 1988 .

[25]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[26]  V. Quintana,et al.  A Penalty Function-Linear Programming Method for Solving Power System Constrained Economic Operation Problems , 1984, IEEE Transactions on Power Apparatus and Systems.

[27]  W. Tinney,et al.  Optimal Power Flow by Newton Approach , 1984, IEEE Power Engineering Review.

[28]  F. Galiana,et al.  Economic Dispatch Using the Reduced Hessian , 1982, IEEE Power Engineering Review.

[29]  H. Happ,et al.  Large Scale Optimal Power Flow , 1982, IEEE Transactions on Power Apparatus and Systems.

[30]  D. Sun,et al.  Optimal Power Flow Based Upon P-Q Decomposition , 1982, IEEE Transactions on Power Apparatus and Systems.

[31]  B Stott,et al.  Linear Programming for Power-System Network Security Applications , 1979, IEEE Transactions on Power Apparatus and Systems.

[32]  Eric Hobson,et al.  Power System Security Control Calculations Using Linear Programming, Part II , 1978, IEEE Transactions on Power Apparatus and Systems.

[33]  O. Alsac,et al.  Fast Decoupled Load Flow , 1974 .

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

[35]  Lawrence Hasdorff,et al.  Economic Dispatch Using Quadratic Programming , 1973 .

[36]  William F. Tinney,et al.  Optimal Power Flow Solutions , 1968 .