Transmission Network Planning Under Uncertainty with Benders Decomposition
作者： Panagiota Tsamasphyrou , Arnaud Renaud , Pierre Carpentier
DOI: 10.1007/978-3-642-57014-8_30
关键词: Integer (computer science) 、 Operating cost 、 Mathematical optimization 、 Benders' decomposition 、 Term (time) 、 Binary number 、 Investment (macroeconomics) 、 Transmission (telecommunications) 、 Electrical network 、 Mathematics
摘要: This paper treats the problem of long term transmission expansion planning an electrical network under uncertainty. A static form this is considered; constraints are represented in DC approximation (linearized power flow). Uncertainty taken into account to evaluate operating cost (demand, availability); investment variables binary. The therefore a large stochastic mixed integer one, requiring considerable computational effort.
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sci-hub.st 参考文章(16)
A. Ruszczynski, A. Swietanowski, On the Regularized Decomposition Method for Two Stage Stochastic Linear Problems Research Papers in Economics. ,(1996)
Roger J.B. Wets, Zvi Artstein, Consistency of Minimizers and the SLLN for Stochastic Programs 1 Journal of Convex Analysis. ,vol. 2, pp. 1- 17 ,(1995)
Philippe Mahey, Abdelhamid Benchakroun, Florence Boyer, Capacity and flow assignment of data networks by generalized Benders decomposition Journal of Global Optimization. ,vol. 20, pp. 169- 189 ,(2001) , 10.1023/A:1011280023547
G. Latorre-Bayona, I.J. Perez-Arriaga, CHOPIN, a heuristic model for long term transmission expansion planning IEEE Transactions on Power Systems. ,vol. 9, pp. 1886- 1894 ,(1994) , 10.1109/59.331446
Mario Pereira, Leontina Pinto, Application Of Sensitivity Analysis Of Load Supplying Capability To Interactive Transmission Expansion Planning IEEE Power & Energy Magazine. ,vol. 104, pp. 381- 389 ,(1985) , 10.1109/TPAS.1985.319053
Andrzej Ruszczyński, Decomposition methods in stochastic programming Mathematical Programming. ,vol. 79, pp. 333- 353 ,(1997) , 10.1007/BF02614323
Andrzej Ruszczyński, Artur Świȩtanowski, Accelerating the regularized decomposition method for two stage stochastic linear problems European Journal of Operational Research. ,vol. 101, pp. 328- 342 ,(1997) , 10.1016/S0377-2217(96)00401-8
G.C. Oliveira, A.P.C. Costa, S. Binato, Large scale transmission network planning using optimization and heuristic techniques IEEE Transactions on Power Systems. ,vol. 10, pp. 1828- 1834 ,(1995) , 10.1109/59.476047
Andrzej Ruszczyński, Parallel decomposition of multistage stochastic programming problems Mathematical Programming. ,vol. 58, pp. 201- 228 ,(1993) , 10.1007/BF01581267
R. M. Van Slyke, Roger Wets, L-Shaped Linear Programs with Applications to Optimal Control and Stochastic Programming SIAM Journal on Applied Mathematics. ,vol. 17, pp. 638- 663 ,(1969) , 10.1137/0117061