Correct network topology is the basis of power grid analysis and control. Because of the lack of measurement on breakers， the identification of breaker states is particularly important in the distribution network. According to the characteristics of closed-loop construction and open-loop operation of the distribution network， section breaker graph is developed to describe the connectivity of the distribution network. The property of tree is used to describe the radial structure constraints of the operation of the distribution network. Based on the principle of weighted minimum absolute value， a identification model is developed， which aims to minimize the adjustments of breaker states and the sum of weighted absolute value of measurement errors. The proposed identification model is a mixed integer linear programming （MILP） problem in mathematic， which can be solved by the simplex method combined with the branch and cut frame. The correctness of proposed model and effectiveness of the proposed method are verified by simulation case.
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