Electric vehicles have developed rapidly in recent years due to their advantages in energy saving and emission reduction

but their disorderly charging will lead to“peak on peak”in system load. Under the incentive of time -of -use price

the orderly charging and discharging of electric vehicles will also cause newpeak - valley difference. In order to solve the problem

the idea of master - slave game is used and an optimization model of virtual power plant with electric vehicles based on dual incentives of time-of - use price and carbon quota is proposed. Firstly

the concept of equivalent load

and formulates dual incentive policies are introduced based on the equivalent load to guide electric vehicles to discharge at peak times and charge at valley times. The virtual power plant is in the main position as the maker of incentive policies

the maximum benefit of virtual power plant are taken as the optimization objectives. The electric vehicle as the recipient of the incentive policy is in the subordinate position

the minimum cost of electric vehicle are taken as the optimization objectives. Finally

finding the Nash equilibrium solution of the established optimization model

and compared with only considering the time -of -use priceincentive. The calculation example shows that use of dual incentive policies can improve the overall benefits of virtual power plants and electric vehicles

and it can avoid the occurrence of newpeak-valley difference.