The output planning model of the electric vehicle charging stations based on game theory

Based on the relationship between traditional gas stations and electric vehicle charging stations in the automotive fuel market, the static Cournot model with profit maximization as the objective function and a dynamic one based on difference method are established to get the Cournot equilibrium of every fuel station. Numerical simulation and sensitivity analysis show feasibility and robustness of the model. All results acquired can be used in the electric vehicle charging stations and the traditional gas stations in the automobile fuel market for output policy guidance.

[1]  Zhao Hui-ru The Relationship Between Price Elasticity of Demand and Generation Market Equilibrium Analysis Based on Game Theory , 2008 .

[2]  Chen Hongkun Electric Vehicle Public Charging Stations Location Optimal Planning , 2012 .

[3]  H. Agiza,et al.  Dynamics of a Cournot Game with n-Competitors , 1998 .

[4]  Pei Feng A Study on the Long-Term Produce Solutions of Dynamical Cournot Model with Multi-Firms Simultaneous-Move Game , 2013 .

[5]  Da Qing-li Building and analysis on a dynamical Cournot model with durable goods , 2006 .

[6]  Fushuan Wen,et al.  Oligopoly electricity market production under incomplete information , 2001 .

[7]  Hong Liu,et al.  The planning of electric vehicle charging station based on Grid partition method , 2011, 2011 International Conference on Electrical and Control Engineering.

[8]  Wei Chen,et al.  A survey of influence of electrics vehicle charging on power grid , 2014, 2014 9th IEEE Conference on Industrial Electronics and Applications.

[9]  Tai Nengling ANALYSIS OF EQUILIBRIUM OF COURNOT MODEL WITH CONSIDERING TRANSMISSION CONSTRAINTS , 2004 .

[10]  Laura Gardini,et al.  The dynamics of a triopoly Cournot game , 2000 .

[11]  H. N. Agiza Explicit Stability Zones for Cournot Game with 3 and 4 Competitors , 1998 .

[12]  Da Qing-li,et al.  Study of the Long-Term and the Short-Term Product Solutions of Dynamical Cournot Model with Durable Goods , 2006 .

[13]  Xue Jun-yi,et al.  ADAPTIVE DYNAMIC COURNOT MODEL OF OPTIMIZING GENERATING UNITS' POWER OUTPUT UNDER NONLINEAR MARKET DEMAND , 2003 .

[14]  Zhang Ming Dynamic analysis of Cournot model with multiple firms , 2002 .

[15]  Zhipeng Liu,et al.  Optimal Planning of Electric-Vehicle Charging Stations in Distribution Systems , 2013, IEEE Transactions on Power Delivery.

[16]  Michele Trovato,et al.  Dynamics of non-collusive oligopolistic electricity markets , 2000, 2000 IEEE Power Engineering Society Winter Meeting. Conference Proceedings (Cat. No.00CH37077).

[17]  A. A. Elsadany,et al.  Nonlinear dynamics in the Cournot duopoly game with heterogeneous players , 2003 .