I. Introduction
In recent years, countries have paid increasing attention to the development and utilization of renewable energy, and the penetration rate of renewable energy such as photovoltaic and wind power has increased rapidly [1–2]. This has led to great changes in the mode of power supply and consumption and the form of distribution network [3–5]. Therefore, modern urban distribution network is gradually developing and transitioning to AC-DC hybrid distribution mode [6–7]. Due to the volatility and randomness of photovoltaic power generation and load, the deterministic power flow calculation is not applicable, and the voltage fluctuations, power quality decreases, which has an adverse effect on the equipment. With the enhancement of people's concept of environmental protection, the development and utilization of new energy has become the main direction of today's power system. Both photovoltaic and load have strong randomness and intermittency, which increases the uncertainty of the power system [8]. Therefore, it is very important to study the power flow optimization problem considering the uncertainty of source load. In this chapter, a source load uncertain optimal power flow model aiming at economy and reliability is established, and NSGA-II algorithm is used to calculate the optimal power flow. Finally, the accuracy and effectiveness of the proposed method are verified by simulation analysis.