Efficient method for AC transmission network expansion planning

A combinatorial mathematical model in tandem with a metaheuristic technique for solving transmission network expansion planning (TNEP) using an AC model associated with reactive power planning (RPP) is presented in this paper. AC-TNEP is handled through a prior DC model while additional lines as well as VAr-plants are used as reinforcements to cope with real network requirements. The solution of the reinforcement stage can be obtained by assuming all reactive demands are supplied locally to achieve a solution for AC-TNEP and by neglecting the local reactive sources, a reactive power planning (RPP) will be managed to find the minimum required reactive power sources. Binary GA as well as a real genetic algorithm (RGA) are employed as metaheuristic optimization techniques for solving this combinatorial TNEP as well as the RPP problem. High quality results related with lower investment costs through case studies on test systems show the usefulness of the proposal when working directly with the AC model in transmission network expansion planning, instead of relaxed models.

[1]  Ruben Romero,et al.  Parallel simulated annealing applied to long term transmission network expansion planning , 1997 .

[2]  M. J. Rider,et al.  A Metaheuristic to Solve the Transmission Expansion Planning , 2007, IEEE Transactions on Power Systems.

[3]  Ruben Romero,et al.  Optimal Capacitor Placement in Radial Distribution Networks , 2001 .

[4]  M. V. F. Pereira,et al.  A New Benders Decomposition Approach to Solve Power Transmission Network Design Problems , 2001, IEEE Power Engineering Review.

[5]  Li-Xin Wang,et al.  A Course In Fuzzy Systems and Control , 1996 .

[6]  P. Marannino,et al.  Optimal capacitor placement using deterministic and genetic algorithms , 1999 .

[7]  Zbigniew Michalewicz,et al.  Genetic Algorithms + Data Structures = Evolution Programs , 1996, Springer Berlin Heidelberg.

[8]  Ruben Romero,et al.  Transmission system expansion planning by an extended genetic algorithm , 1998 .

[9]  S. Binato,et al.  A Greedy Randomized Adaptive Search Procedure for Transmission Expansion Planning , 2001 .

[10]  John H. Holland,et al.  Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence , 1992 .

[11]  S. Binato,et al.  Transmission network expansion planning under a Tabu Search approach , 2001 .

[12]  E. L. da Silva,et al.  A reliable approach for solving the transmission network expansion planning problem using genetic algorithms , 2001 .

[13]  A. J. Urdaneta,et al.  A hybrid genetic algorithm for optimal reactive power planning based upon successive linear programming , 1999 .

[14]  Ruben Romero,et al.  Transmission system expansion planning by a branch-and-bound algorithm , 2008 .

[15]  Yutian Liu,et al.  Optimal VAr planning in area power system , 2002, Proceedings. International Conference on Power System Technology.

[16]  C. T. Hsu,et al.  Optimal reactive power planning for distribution systems with nonlinear loads , 1993, Proceedings of TENCON '93. IEEE Region 10 International Conference on Computers, Communications and Automation.

[17]  Ruben Romero,et al.  A hierarchical decomposition approach for transmission network expansion planning , 1994 .

[18]  Ibrahim El-Amin,et al.  The application of artificial intelligent tools to the transmission expansion problem , 2002 .

[19]  Yi Wang,et al.  Pareto optimality-based multi-objective transmission planning considering transmission congestion , 2008 .

[20]  Ariovaldo V. Garcia,et al.  Power system transmission network expansion planning using AC model , 2007 .

[21]  D. E. Goldberg,et al.  Optimization and Machine Learning , 2022 .

[22]  A. Monticelli,et al.  Test systems and mathematical models for transmission network expansion planning , 2002 .

[23]  A. El-Keib,et al.  A fuzzy branch and bound-based transmission system expansion planning for the highest satisfaction level of the decision maker , 2005, IEEE Transactions on Power Systems.

[24]  Antonio J. Conejo,et al.  Transmission expansion planning: a mixed-integer LP approach , 2003 .

[25]  Jose Roberto Sanches Mantovani,et al.  A heuristic method for reactive power planning , 1996 .

[26]  Jose Roberto Sanches Mantovani,et al.  Interior point algorithm for linear programming used in transmission network synthesis , 2005 .