Robust Security-Constrained Unit commitment with recourse cost requirement

With increasing renewable energy resources, price-sensitive loads, and electric-vehicle charging stations in the power grid, uncertainties on both power generation and consumption sides become critical factors in Security-Constrained Unit Commitment (SCUC) problem. Recently, min-max robust optimization approaches are employed to solve SCUC problem. A novel robust SCUC approach is proposed in this paper. The contributions of this paper are: 1) The solution to robust unit commitment and dispatch can be directly used in day-ahead market as it overcomes two issues, conservativeness and absence of robust dispatches, which are two largest obstacles to applying robust SCUC in real markets; 2) A new concept recourse cost, similar to reserve requirement, is proposed to define the upper bound of re-dispatch cost when uncertainties are revealed; 3) Extended Affinely Adjustable (EAA) approximation is employed to accelerate the computation. The preliminary simulation results validated the effectiveness of the proposed approach.

[1]  J. A. Amalfi,et al.  An optimization-based method for unit commitment , 1992 .

[2]  John R. Birge,et al.  A stochastic model for the unit commitment problem , 1996 .

[3]  A. Ben-Tal,et al.  Adjustable robust solutions of uncertain linear programs , 2004, Math. Program..

[4]  M. Shahidehpour,et al.  Stochastic Security-Constrained Unit Commitment , 2007, IEEE Transactions on Power Systems.

[5]  S. SHORT-TERM GENERATION SCHEDULING WITH TRANSMISSION AND ENVIRONMENTAL CONSTRAINTS USING AN AUGMENTED LAGRANGIAN RELAXATION , 2009 .

[6]  Yang Wang,et al.  Unit Commitment With Volatile Node Injections by Using Interval Optimization , 2011, IEEE Transactions on Power Systems.

[7]  Bo Zeng Solving Two-stage Robust Optimization Problems by A Constraint-and-Column Generation Method , 2011 .

[8]  Xiaohong Guan,et al.  A Systematic Method for Constructing Feasible Solution to SCUC Problem With Analytical Feasibility Conditions , 2012, IEEE Transactions on Power Systems.

[9]  Ruiwei Jiang,et al.  Benders' decomposition for the two-stage security constrained robust unit commitment problem , 2012 .

[10]  Zuyi Li,et al.  Comparison of Scenario-Based and Interval Optimization Approaches to Stochastic SCUC , 2012, IEEE Transactions on Power Systems.

[11]  Rabih A. Jabr,et al.  Adjustable Robust OPF With Renewable Energy Sources , 2013, IEEE Transactions on Power Systems.

[12]  Yongpei Guan,et al.  Unified Stochastic and Robust Unit Commitment , 2013, IEEE Transactions on Power Systems.

[13]  Manfred Morari,et al.  Policy-Based Reserves for Power Systems , 2012, IEEE Transactions on Power Systems.

[14]  Xu Andy Sun,et al.  Adaptive Robust Optimization for the Security Constrained Unit Commitment Problem , 2013, IEEE Transactions on Power Systems.

[15]  Zuyi Li,et al.  Transmission Line Rating Attack in Two-Settlement Electricity Markets , 2016, IEEE Transactions on Smart Grid.