Research On The Interactive Strategy Of Electric Vehicles And Grid Based On Evolutionary Game

With the enhancement of people's awareness of environmental protection,the number of electric vehicles is rising.If electric cars charge and discharge randomly,it will affect the safety,stability,reliability and economy of the power grid.If electric vehicles are guided by reasonable electricity price of charge and discharge,it can not only bring economic benefits to electric vehicles,but also provide many benefits such as peak load reduction and valley filling for the power grid.In fact,due to the diversity of electric vehicle user demand and the uncertainty of power grid operation state,it is difficult to ensure that both sides of the vehicle and power grid make completely rational decisions based on complete information.Unlike traditional game theory,evolutionary game theory does not requ ire that both parties involved in the game be completely rational,nor does it require that the information is complete.Based on the evolutionary game theory,this paper considers the equal status of electric vehicle groups in the interactive process of vehicle and grid,explores the important factors affecting the interactive process of both sides of vehicle and grid in combination with the actual situation,and explores the dynamic evolutionary process between electric vehicles and power grid companies.In the process of interaction,electric vehicle users and power grid companies have two strategies of cooperation and non-cooperation,and there are four strategy combinations.This paper analyzes in detail the respective benefits of electric vehicle users and power grid companies under each strategy combination,and obtains the evolutionary game payoffmatrix of electric vehicle users and power grid companies.According to the payoffmatrix,this paper analyzes the income of electric vehicle users and power grid companies aiming at the income balance of electric vehicle users and power grid companies,constructs the interactive evolutionary game model of vehicle and grid,and then conducts equilibrium solution to obtain the duplicated dynamic equation of both sides of vehicle and grid.At the same time,the relationship between discharge electricity and discharge electricity price is obtained under the condition that both parties' benefits are satisfied and the interaction reaches a stable state,and the range of the optimal discharge electricity price is further obtained.An example is used to verify the range of the optimal discharge price.The result of the example shows that there is a specific response range of the discharge price,and only within this range can both sides of the vehicle network benefit from it,thus achieving benign interaction.The game between electric vehicles and power grid companies is a dynamic process.The final strategy choice of both sides of the vehicle and grid is determined by the initial state,which is determined by each parameter.The change of parameters is crucial to the strategy choice of both sides.Shared interaction is presented in this paper,on the basis of the dynamic evolution of the phase diagram,the system can be divided into two parts,the area method is used to analyze the key parameters,found that affect Shared the inner mechanism of the interaction,and the jacobian matrix of local stability analysis of equilibrium stability analysis,found that under the condition of different parameters,Shared on both sides of the game process of dynamic change and stability are different.In order to reveal the dynamic characteristics of evolution game participants,based on the theory of system dynamics,the electric car users and grid system dynamics model is established,and on the eight key factors influencing the Shared interactive process simulation analysis,further study of the various factors influence on Shared interactive strategy choice finally,studies have shown that various factors on the electric car users or grid companies ultimately is not a simple linear relationship between the influence of strategy choice,but a gradual change,the influence of some factors start simulation trend and the final result will instead,provide reference for the future study of such problems.