Abstract: In order to control the cost while measuring voltage and power, a distribution network topology identification method based on mixed integer nonlinear programming is proposed. Based on the measurement data of low-cost contactless wire current sensor, the topology identification model was derived in the form of hybrid integral nonlinear program. In order to effectively solve various measurement error sources, a multi period topology identification algorithm was introduced, which used multiple measurement data to detect the time of topology change, so as to improve the accuracy and robustness of topology identification. The performance of the proposed algorithm was verified in two examples. The experimental results show that the proposed method can not only ensure the recognition accuracy, but also reduce the computational cost.