Coordinated optimization of power system with plug-in electric vehicles and photovoltaic power stations based on game theory

The volatility and randomness of plug-in electric vehicles (PEVs) charging/discharging power output and photovoltaic (PV) power output have brought new challenges to the economical and secure operation of power system. Time-of-use (TOU) price mechanis can encourage reasonable charging and discharging plan of PEVs to fully play its role in peak load shifting. In view of the uncertainty of PV power output while taking into account the guidance of TOU price, a two-person zero sum game min-max model for optimal dispatch of power system with PEVs and PV stations is constructed utilizing game theory. Aiming at minimize the maximum operation cost caused by PV power, the model utilizes its decoupling property to obtain the optimal dispatching strategy using dual optimization relaxation algorithm, meanwhile, taking grid dispatchers and nature as the bilateral game players. Finally. The simulation results demonstrate the feasibility and validity of the proposed model.

[1]  Li Ran,et al.  Equivalent Model of Doubly-fed Wind Turbine Generator Systems Based on Auto Mutation Particle Swarm Optimization Algorithm , 2012 .

[2]  John C. Harsanyi,et al.  Games with Incomplete Information Played by "Bayesian" Players, I-III: Part I. The Basic Model& , 2004, Manag. Sci..

[3]  Ronnie Belmans,et al.  Distributed generation: definition, benefits and issues , 2005 .

[4]  Luo,et al.  Impacts and Utilization of Electric Vehicles Integration Into Power Systems , 2012 .

[5]  Wei Wei.  A Game Model for Robust Optimization of Power Systems and Its Application , 2013 .

[6]  Xin Jianbo.  Stochastic Optimization Dispatching of Plug-in Hybrid Electric Vehicles in Coordination with Renewable Generation in Distribution Systems , 2012 .

[7]  He Jianb.  Coordinated Optimal Dispatching of Wind-Thermal-Hydro Power System Considering Constraint of Real-Time Expected Demand Not Supplied , 2014 .

[8]  J. Neumann,et al.  Theory of games and economic behavior , 1945, 100 Years of Math Milestones.

[9]  Xin Jianbo.  Impacts of Electric Vehicles on Power Systems as Well as the Associated Dispatching and Control Problem , 2011 .

[10]  Liu Hong,et al.  An Optimization Model of Peak-Valley Price Time-Interval Considering Vehicle-to-Grid , 2013 .

[11]  He Xuanhu,et al.  Coordinated Charging Strategy for Electric Vehicles Based on Time-of-use Price , 2013 .

[12]  Xin Jianbo,et al.  Power System Stochastic Economic Dispatch Considering Uncertain Outputs from Plug-in Electric Vehicles and Wind Generators , 2010 .

[13]  Magdy M. A. Salama,et al.  Distributed generation technologies, definitions and benefits , 2004 .

[14]  E. Aiyoshi,et al.  Necessary conditions for min-max problems and algorithms by a relaxation procedure , 1980 .