Abstract: With the continuous deepening of green travel concept, the number of electric vehicles（EVs） has increased year by year, and the large-scale EV charging load will have an adverse impact on the distribution network. In this background, this paper proposes a fast/slow charging station planning model that includes charging and discharging management. Firstly, according to the Wardrop user equilibrium theory, this paper establishes a mixed user equilibrium model for traffic network. Secondly, it proposes a charging and discharging management strategy based on the load transfer matrix and its modeling method; then, a fast/slow charging station planning model based on user equilibrium and charging and discharging management is proposed, and the piecewise linearization method, big-M method and second order cone relaxation technique are used to deal with the original problem. Finally, an IEEE 33-node distribution network and a 12-node typical traffic network are used to verify the effectiveness of the planning method proposed in this paper.