With the integration of distributed energy into the distribution network, its structure has become increasingly complex and the failure rate has also increased. Fault restoration of distribution networks helps to restore power supply, improve the stability and reliability of power systems. The extensive installation of distribution transformer supervisory terminal units（TTU）provides data support for network fault restoration. The real-time topology identification technology of distribution networks considering TTU data measurement errors is focused on. Firstly, based on the analysis of the TTU data, an optimization equation with the target of minimizing the error is constructed.Secondly, considering the mixed-integer programming problem and the nonlinear item in the optimization equation, the equation is converted into a quadratic programming problem to make it possible to solve it with the standard method. Finally, case studies are conducted to verify the effectiveness of the proposed algorithm.