Adaptive Robust Transmission Network Expansion Planning using Structural Reliability and Decomposition Techniques

作者: José Manuel Arroyo , Roberto Mínguez , Raquel García-Bertrand

DOI:

关键词: Probabilistic-based design optimizationRobust optimizationDecomposition (computer science)Matrix (mathematics)Mathematical optimizationCardinalityMathematicsRobust controlEllipsoidQuantile

摘要: Structural reliability and decomposition techniques have recently proved to be appropriate tools for solving robust uncertain mixed-integer linear programs using ellipsoidal uncertainty sets. In fact, its computational performance makes this type of problem an alternative method in terms tractability with respect problems based on cardinality constrained This paper extends the use these adaptive optimization (ARO) problem, i.e. solution transmission network expansion planning energy systems. The formulation materializes a three-level mixedinteger formulation, which structural methods, can solved ad-hoc technique. allows correlation structure variables involved by means their variance-covariance matrix, besides, it provides new interpretation quantile optimization. We also compare results methods that consider Numerical illustrative example, IEEE-24 IEEE 118-bus test systems demonstrate algorithm is comparable existing additional advantage incorporated

参考文章(44)
Alfred M. Freudenthal, SAFETY AND THE PROBABILITY OF STRUCTURAL FAILURE Transactions of the American Society of Civil Engineers. ,vol. 121, pp. 1337- 1375 ,(1956) , 10.1061/TACEAT.0007306
J. Jonkman, S. Butterfield, W. Musial, G. Scott, Definition of a 5-MW Reference Wind Turbine for Offshore System Development National Renewable Energy Laboratory (U.S.). ,(2009) , 10.2172/947422
Rudiger Rackwitz, Michael Hohenbichler, Non-Normal Dependent Vectors in Structural Safety Journal of Engineering Mechanics-asce. ,vol. 107, pp. 1227- 1238 ,(1981) , 10.1061/JMCEA3.0002777
AJ Connejo, R Mínguez, E Castillo, R García-Bertrand, None, Decomposition Techniques in Mathematical Programming: Engineering and Science Applications ,(2006)
Abraham M. Hasofer, Niels C. Lind, Exact and Invariant Second-Moment Code Format Journal of Engineering Mechanics-asce. ,vol. 100, pp. 111- 121 ,(1974) , 10.1061/JMCEA3.0001848
R. Mínguez, R. García-Bertrand, Robust transmission network expansion planning in energy systems: Improving computational performance European Journal of Operational Research. ,vol. 248, pp. 21- 32 ,(2016) , 10.1016/J.EJOR.2015.06.068
Len Garver, Transmission Network Estimation Using Linear Programming IEEE Transactions on Power Apparatus and Systems. ,vol. 89, pp. 1688- 1697 ,(1970) , 10.1109/TPAS.1970.292825