Title
A Modified Benders Decomposition for Chance-Constrained Unit Commitment with N-1 Security and Wind Uncertainty.
Abstract
As renewable wind energy penetration rates continue to increase, one of the major challenges facing grid operators is the question of how to control transmission grids in a reliable and a cost-efficient manner. The stochastic nature of wind forces an alteration of traditional methods for solving day-ahead and look-ahead unit commitment and dispatch. In particular, the variability of wind generation increases the risk of unexpected overloads and cascading events. To address these questions, we present an N-1 Security and Chance-Constrained Unit Commitment (SCCUC) that includes models of generation reserves that respond to wind fluctuations and models of tertiary reserves that respond to single component outages. We formulate the SCCUC as a mixed-integer, second-order cone problem that limits the probability of failure. We develop a Benders decomposition algorithm to solve the problem to optimality and present detailed case studies on the IEEE RTS-96 three-area and the IEEE 300 NESTA test systems. The case studies assess the economic impacts of contingencies and various degrees of wind power penetration and demonstrate the effectiveness and scalability of the algorithm.
Year
Venue
Field
2017
arXiv: Systems and Control
Mathematical optimization,Economic impact analysis,Renewable energy,Power system simulation,Operations research,Operator (computer programming),Wind power,Mathematics,Benders' decomposition,Grid,Scalability
DocType
Volume
Citations 
Journal
abs/1703.05206
0
PageRank 
References 
Authors
0.34
5
6
Name
Order
Citations
PageRank
Kaarthik Sundar17511.68
H. Nagarajan2489.37
Roald, L.3115.09
Sidhant Misra411115.36
Russell Bent57915.68
Daniel Bienstock6992105.65