There is grid connection of distributed generation and an increasing complexity of load types. However, the traditional distribution network reconfiguration model has not considered an integrated load model. Therefore, this paper proposes a mixed integer linear programming model of an active distribution network considering the ZIP load model. Based on the second-order cone power flow model of a radial distribution network, the ZIP load model is equivalent to a ZP load model by linear regression method. The active distribution network reconfiguration model based on mixed integer second-order cone programming is established. The second-order cone constraint is linearized by polyhedron approximation, and the active distribution network reconfiguration model is established. The simulation results of three different scale distribution systems show that the accuracy of this active distribution network reconfiguration model is almost the same as that based on mixed integer second-order cone programming, but the optimization efficiency is improved by 15% ~ 30%. This shows high optimization accuracy and efficiency. This work is supported by the National Natural Science Foundation of China (No. 51877154).