Abstract：The deep coupling of high-penetration distributed energy resources with diversified loads

significantly amplifies source-load stochasticity and complexity. This exacerbates three-phase load imbalance in

conventional distribution networks，posing a severe threat to grid stability and power quality. To address this，a

coordinated optimal control strategy for load imbalance in flexible distribution networks equipped with soft open

point（SOP）was proposed，taking into account the uncertainty of wind and solar power. Initially，an analysis of the three-phase load imbalance was performed，incorporating mathematical models of renewable generation and load characteristics. Subsequently，a power decoupling control model for an SOP，based on a three-phase，four-leg topology，was developed to enable flexible per-phase power regulation. A dual-objective optimization model was then formulated to minimize both system power losses and the degree of three-phase imbalance. Finally，a typical scenario set was generated based on probability models and Monte Carlo methods to quantify the impact of

randomness on wind power output. An adaptive particle swarm optimization（PSO）algorithm was employed to

solve the non-convex optimization problem and derive the optimal control commands for the SOP. A validation

framework was constructed through system-level case studies and device-level Simulink simulations. The results

demonstrate that the proposed strategy effectively mitigates load imbalance，improving both the system's

operational economy and its engineering feasibility.

        Key words：flexible distribution network；soft open point（SOP）；load imbalance；wind and solar uncertainty；particle swarm optimization（PSO）algorithm

     Format Citation:赵常威，娄伟，陈欢,等. 含风光不确定性的柔性配电网负荷不平衡调控策略研究[J].电气传动,2026,56(10):32-42. ZHAO Changwei，LOU Wei，CHEN Huan,et al. Optimal control strategy addressing load imbalance in flexible distribution networks considering wind and solar uncertainty [J].Electric Drive, 2026,56(10):32-42