An application of CHA to concurrent short-term transmission expansion & reactive power planning

In this paper a heuristic technique for solving simultaneous short-term transmission network expansion and reactive power planning problem (TEPRPP) via an AC model is presented. A constructive heuristic algorithm (CHA) aimed to obtaining a significant quality solution for such problem is employed. An interior point method (IPM) is applied to solve TEPRPP as a nonlinear programming (NLP) during the solution steps of the algorithm. For each proposed network topology, an indicator is deployed to identify the weak buses for reactive power sources placement. The objective function of NLP includes the costs of new transmission lines, real power losses as well as reactive power sources. By allocating reactive power sources at load buses, the circuit capacity may increase while the cost of new lines can be decreased. The proposed methodology is tested on Garver's system and the obtained results shows its capability and the viability of using AC model for solving such non-convex optimization problem.

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

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

[3]  Antonio J. Conejo,et al.  A comparison of interior-point codes for medium-term hydro-thermal coordination , 1997 .

[4]  G. Irisarri,et al.  Maximum loadability of power systems using interior point nonlinear optimization method , 1997 .

[5]  G. L. Torres,et al.  On a nonlinear multiple-centrality-corrections interior-point method for optimal power flow , 2001 .

[6]  A. Santos,et al.  Interactive Transmission Network Planning Using a Least-Effort Criterion , 1982, IEEE Transactions on Power Apparatus and Systems.

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

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

[9]  S. Binato,et al.  Power transmission network design by greedy randomized adaptive path relinking , 2005, IEEE Transactions on Power Systems.

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

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

[12]  G. C. Ejebe,et al.  Preventive/corrective control for voltage stability using direct interior point method , 1997 .

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

[14]  Ruben Romero,et al.  Comparative studies on nonconvex optimization methods for transmission network expansion planning , 1997 .

[15]  V. Quintana,et al.  An efficient predictor-corrector interior point algorithm for security-constrained economic dispatch , 1997 .

[16]  V. H. Quintana,et al.  On a Nonlinear Multiple-Centralitycorrections Interior-Point Method for Optimal Power Flow , 2001, IEEE Power Engineering Review.

[17]  Mohsen Rahmani,et al.  Efficient method for AC transmission network expansion planning , 2010 .

[18]  G. Latorre,et al.  Classification of publications and models on transmission expansion planning , 2003 .

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

[20]  H. Glavitsch,et al.  Estimating the Voltage Stability of a Power System , 1986, IEEE Transactions on Power Delivery.

[21]  L. L. Garver,et al.  Transmission Network Estimation Using Linear Programming , 1970 .

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