A hybrid genetic algorithm-interior point method for optimal reactive power flow

By integrating a genetic algorithm (GA) with a nonlinear interior point method (IPM), a novel hybrid method for the optimal reactive power flow (ORPF) problem is proposed in this paper. The proposed method can be mainly divided into two parts. The first part is to solve the ORPF with the IPM by relaxing the discrete variables. The second part is to decompose the original ORPF into two sub-problems: continuous optimization and discrete optimization. The GA is used to solve the discrete optimization with the continuous variables being fixed, whereas the IPM solves the continuous optimization with the discrete variables being constant. The optimal solution can be obtained by solving the two sub-problems alternately. A dynamic adjustment strategy is also proposed to make the GA and the IPM to complement each other and to enhance the efficiency of the hybrid proposed method. Numerical simulations on the IEEE 30-bus, IEEE 118-bus and Chongqing 161-bus test systems illustrate that the proposed hybrid method is efficient for the ORPF problem

[1]  James H. Taylor,et al.  MINLP formulation of optimal reactive power flow , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).

[2]  S. Granville Optimal reactive dispatch through interior point methods , 1994 .

[3]  D.C. Yu,et al.  A novel optimal reactive power dispatch method based on an improved hybrid evolutionary programming technique , 2004, IEEE Transactions on Power Systems.

[4]  D.M. Falcao,et al.  Optimal reactive power dispatch using a hybrid formulation: genetic algorithms and interior point , 2001, 2001 IEEE Porto Power Tech Proceedings (Cat. No.01EX502).

[5]  Ariovaldo V. Garcia,et al.  VAr planning using genetic algorithm and linear programming , 2001 .

[6]  Kwang Y. Lee,et al.  Optimal reactive power planning using evolutionary algorithms: a comparative study for evolutionary programming, evolutionary strategy, genetic algorithm, and linear programming , 1998 .

[7]  R. Jabr,et al.  A Primal-Dual Interior Point Method for Optimal Power Flow Dispatching , 2002, IEEE Power Engineering Review.

[8]  Jong-Bae Park,et al.  Generation expansion planning based on an advanced evolutionary programming , 1999 .

[9]  A. Bakirtzis,et al.  Optimal Power Flow by Enhanced Genetic Algorithm , 2002, IEEE Power Engineering Review.

[10]  S. Tso,et al.  An Extended Nonlinear Primal-Dual Interior-Point Algorithm for Reactive-Power Optimization of Large-Scale Power Systems with Discrete Control Variables , 2002, IEEE Power Engineering Review.

[11]  Osvaldo R. Saavedra,et al.  Optimal reactive power dispatch using evolutionary computation: extended algorithms , 1999 .