Amin MAHMOUDABADI, Masoud RASHIDINEJAD

Implementation of an AC model for transmission expansion planning considering reliability constraints

In this paper, a hybrid heuristic methodology that employs fuzzy logic for solving the AC transmission network expansion planning (AC-TEP) problem is presented. An enhanced constructive heuristic algorithm aimed at obtaining a significant quality solution for such complicated problems considering contingency is proposed. In order to indicate the severity of the contingency, 2 performance indices, namely the line flow performance index and voltage performance index, are calculated. An interior point method is applied as a nonlinear programming solver to handle such nonconvex optimization problems, while the objective function includes the costs of the new transmission lines as well as the real power losses. The performance of the proposed method is examined by applying it to the well-known Garver system for different cases. The simulation studies and result analysis demonstrate that the proposed method provides a promising way to find an optimal plan. Obtaining the best quality solution shows the capability and the viability of the proposed algorithm in AC-TEP.

Anahtar Kelimeler:

Transmission expansion planning, reliability, hybrid heuristic algorithm, nonconvex optimization, fuzzy decision making

Implementation of an AC model for transmission expansion planning considering reliability constraints

Keywords:

Transmission expansion planning, reliability, hybrid heuristic algorithm, nonconvex optimization, fuzzy decision making,

PDF

___

L.L. Garver, “Transmission network estimation using linear programming”, IEEE Transactions on Power Apparatus and Systems, Vol. PAS-89, pp. 1688–1697, 1970.
G. Latorre, R.D. Cruz, J.M. Areiza, A. Villegas, “Classiﬁcation of publication and models on transmission expansion planning”, IEEE Transactions on Power Systems, Vol. 18, pp. 938–946, 2003.
M.J. Rider, A.V. Garc´ıa, R. Rom´ero, “Power system transmission network expansion planning using AC model”, IET Generation, Transmission & Distribution, Vol. 1, pp. 731–742, 2007.
M. Rahmani, M. Rashidinejad, R. Rom´ero, “Eﬃcient method for AC transmission network expansion planning”, Electric Power Systems Research, Vol. 80, pp. 1056–1064, 2010.
R. Rom´ero, A. Monticelli, A. Garc´ıa, S. Haﬀner, “Test systems and mathematical models for transmission network expansion planning”, IEE Proceedings - Generation, Transmission and Distribution, Vol. 149, pp. 27–36, 2002.
R. Rom´ero, A. Monticelli, “A hierarchical decomposition approach for transmission network expansion planning”, IEEE Transactions on Power Systems, Vol. 9, pp. 373–380, 1994.
R.A. Gallego, A.B. Alves, A. Monticelli, R. Rom´ero, “Parallel simulated annealing applied to long term transmission network expansion planning”, IEEE Transactions on Power Systems, Vol. 12, pp. 181–188, 1997.
R.A. Gallego, A. Monteicelli, R. Rom´ero, “Transmission system expansion planning by an extended genetic algorithm”, IEE Proceedings - Generation, Transmission and Distribution, Vol. 145, pp. 329–335, 1998.
E.L Da Silva, J.M.A. Orteiz, G.C. De Oliveira, S. Binato, “Transmission network expansion planning under a Tabu search approach”, IEEE Transactions on Power Systems, Vol. 16, pp. 62–68, 2001.
S. Binato, G.C. De Oliveira, J.L. De Araujo, “A greedy randomized adaptive search procedure for transmission expansion planning”, IEEE Transactions on Power Systems, Vol. 16, pp. 247–253, 2001.
A. Seifu, S. Salon, G. List, “Optimization of transmission line planning including security constraints”, IEEE Transactions on Power Systems, Vol. 81, pp. 123–128, 1989.
I. De. J. Silva, M.J. Rider, R. Rom´ero, A.V. Garc´ıa, C.A. Murari, “Transmission network expansion planning with security constraints”, IEE Proceedings - Generation, Transmission and Distribution, Vol. 152, pp. 828–836, 2005. A.S. Sousa, N.E. Asada, “Combined heuristic with fuzzy system to transmission system expansion planning”, Electric Power System Research, Vol. 1, pp. 45–51, 2010.
G.L. Torres, V.H. Quintana, “An interior-point method for non-linear optimal power ﬂow using voltage rectangular coordinates”, IEEE Transactions on Power Systems, Vol. 13, pp. 1211–1218, 1998.
G.D. Irisarri, X. Wang, J. Tong, S. Mokhtari, “Maximum load ability of power systems using interior point method nonlinear optimization”, IEEE Transactions on Power Systems, Vol. 12, pp. 162–172, 1997.
X. Wang, G.C. Ejebe, J. Tong, J.G. Waight, “Preventive/corrective control for voltage stability using direct interior point method”, IEEE Transactions on Power Systems, Vol. 13, pp. 878–883, 1998.
K. Shanti, S. Warup, G. Sudhakar, “Neural network approach to contingency screening and ranking in power systems”, Neurocomputing, Vol. 70, pp. 105–118, 2006.
X. Yan, V.H. Quintana, “An eﬃcient predictor corrector interior point algorithm for security-constrained economic dispatch”, IEEE Transactions on Power Systems, Vol. 12, pp. 803–810, 1997.
R. Rom´ero, C. Rocha, M. Mantovani, J. Mantovani, “Analysis of heuristic algorithms for the transportation model in static and multistage planning in network expansion systems”, IEE Proceedings - Generation, Transmission and Distribution, Vol. 150, pp. 521–526, 2003.