High proportion of grid-connected photovoltaic system brings new problems and challenges to the optimization of active and reactive power in distribution networks. Therefore

a multi-objective coordinated optimization model of active and reactive power based on the mixed integer second order cone programming is proposed. Firstly

a mixed integer nonlinear programming problem is relaxed into a mixed integer second order cone programming problem by using the second order cone relaxation technique. Secondly

the ε-constraint method is utilized to characterize the Pareto efficient frontier of multi-objective problem. Thirdly

this problem is decomposed into a linear programming master problem with 0-1 integer variables and a second order cone programming sub-problem with continuous variables by means of Benders decomposition method. Moreover

the master problem and sub-problem use Benders cut as a bridge to alternately iterate until the result converges to an optimal solution. Finally

the numerical simulation is performed in the improved IEEE 33-node distribution system

and the results show the effectiveness of the proposed model.