An electric vehicle’s battery life model under car-following model

•An electric vehicle’s battery life model has been developed.•We use the proposed model to study the influences of the micro-driving behavior on the electric vehicle’s battery life.•The numerical results show that the smooth driving behavior can prolong the electric vehicle’s battery life. Using the electricity consumption theory, we in this paper propose an electric vehicle’s battery life model. The numerical results illustrate that the proposed model can qualitatively describe the impacts of the micro-driving behavior on the number of times that the electric vehicle’s battery can cycle under two typical traffic situations. In addition, the numerical results show that the micro-driving behavior will influence the electric vehicle’s battery life, i.e., under the smooth driving behavior, the number of times that the electric vehicle’s battery cycles are stable and the number of the battery cycles will be increased, so the electric vehicle’s battery life can be prolonged.