It is important to accurately analyze the power flow distribution of complex large-scale systems containing distributed renewable energy and a new flexible load with integrated generation-use-storage. Considering modern urban power distribution networks with characteristics of discreteness, dynamics, non-linearity, multi-objectiveness, and uncertainty, a power flow calculation method of an AC-DC hybrid distribution network based on a network matrix is presented. First, a steady-state power flow model of a Voltage Source Converter (VSC) is given according to the PWM modulation principle. Secondly, based on a binary described network matrix, the power flow calculation model of the AC-DC hybrid distribution network topology is established. Further, by modifying the Jacobian matrix for different control strategies the power flow model is solved based on Newton-Raphson method. Finally, two examples are given, and the results of PSCAD simulation are used to make a comparative analysis, which verifies the correctness, flexibility and convergence of the proposed power flow calculation model. This work is supported by Science and Technology Project of the Headquarters of State Grid Corporation of China (No. 5102-201999343A-0-0-00).