Robust optimization for bidirectional dispatch coordination of large-scale V2G

This paper proposes a robust optimization (RO) model for bidirectional dispatch coordination of large-scale plugin electric vehicles (PEVs) in a power grid in which the PEVs are aggregated to manage. The PEV aggregators are considered as a type of dispatchable demand response and energy storage resource with stochastic behaviors, and can supply load or provide ancillary services such as regulation reserve to the grid. The proposed RO model is then reformulated as a mixed-integer quadratic programming model, which can be solved efficiently. Computer simulations are performed for a power grid with ten generators and three PEV aggregators to validate the economic benefit of the RO model for bidirectional dispatch coordination of the PEVs and the robustness of the RO model to the uncertainty of the PEVs' stochastic mobility behaviors.

[1]  D. Infield,et al.  Modeling the Benefits of Vehicle-to-Grid Technology to a Power System , 2012, IEEE Transactions on Power Systems.

[2]  K. M. Zhang,et al.  Using vehicle-to-grid technology for frequency regulation and peak-load reduction , 2011 .

[3]  Ahmed Yousuf Saber,et al.  Plug-in Vehicles and Renewable Energy Sources for Cost and Emission Reductions , 2011, IEEE Transactions on Industrial Electronics.

[4]  A. Conejo,et al.  Decision making under uncertainty in electricity markets , 2010, 2006 IEEE Power Engineering Society General Meeting.

[5]  Deepak Rajan,et al.  IBM Research Report Minimum Up/Down Polytopes of the Unit Commitment Problem with Start-Up Costs , 2005 .

[6]  Mohammad Shahidehpour,et al.  Hourly Coordination of Electric Vehicle Operation and Volatile Wind Power Generation in SCUC , 2012, IEEE Transactions on Smart Grid.

[7]  Willett Kempton,et al.  Vehicle-to-grid power implementation: From stabilizing the grid to supporting large-scale renewable energy , 2005 .

[8]  Yongpei Guan,et al.  Uncertainty Sets for Robust Unit Commitment , 2014, IEEE Transactions on Power Systems.

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

[10]  Stephen P. Boyd,et al.  Convex Optimization , 2004, Algorithms and Theory of Computation Handbook.

[11]  Willett Kempton,et al.  Vehicle-to-grid power fundamentals: Calculating capacity and net revenue , 2005 .

[12]  Karsten Emil Capion,et al.  Optimal charging of electric drive vehicles in a market environment , 2011 .

[13]  Willett Kempton,et al.  ELECTRIC VEHICLES AS A NEW POWER SOURCE FOR ELECTRIC UTILITIES , 1997 .

[14]  Jean-Philippe Vial,et al.  Robust Optimization , 2021, ICORES.

[15]  Chuan-Ping Cheng,et al.  Unit commitment by Lagrangian relaxation and genetic algorithms , 2000 .

[16]  Mohammad Shahidehpour,et al.  Modeling Transmission Line Constraints in Two-Stage Robust Unit Commitment Problem , 2015, IEEE Transactions on Power Systems.

[17]  David Dallinger,et al.  Vehicle-to-Grid Regulation Reserves Based on a Dynamic Simulation of Mobility Behavior , 2011, IEEE Transactions on Smart Grid.

[18]  Arkadi Nemirovski,et al.  Robust optimization – methodology and applications , 2002, Math. Program..

[19]  N. Amjady,et al.  Two-Stage Robust Generation Expansion Planning: A Mixed Integer Linear Programming Model , 2014, IEEE Transactions on Power Systems.

[20]  Mohamed A. El-Sharkawi,et al.  Optimal Combined Bidding of Vehicle-to-Grid Ancillary Services , 2012, IEEE Transactions on Smart Grid.

[21]  Ali T. Al-Awami,et al.  Stochastic-programming-based bidding strategy for V2G services , 2013, IEEE PES ISGT Europe 2013.

[22]  Sekyung Han,et al.  Development of an Optimal Vehicle-to-Grid Aggregator for Frequency Regulation , 2010, IEEE Transactions on Smart Grid.