Iterative and Accelerated Techniques for Distributed Robust Service Restoration Strategy in Flexible Distribution Networks

The integration of power electronic devices and distributed energy resources (DERs) into distribution networks is crucial for enhancing service restoration performance through flexible power regulation. However, the complex operational requirements pose challenges in coordinating them during power outages. To leverage the potential application value of multiple resources, this paper proposes a distributed robust restoration strategy that incorporates iterative and accelerated techniques. A soft open point integrated with energy storage is introduced and optimized alongside the local DERs. The distributionally robust optimization (DRO) method is used during the implementation of the recovery strategy, facilitating the participation of intermittent renewable sources. These measures collectively enhance system resilience. Subsequently, a distributed robust service restoration framework based on the alternating direction method of multipliers (ADMM) is employed for multiregional networks, allowing the robust model to be solved in a distributed manner. To ensure the computability of the model with numerous integer variables, relaxation iterations and induced acceleration processes have been developed within the algorithms to effectively nest DRO and ADMM, thereby significantly improving the models convergence and efficiency. Two test systems, the IEEE 33-bus system and a large-scale IEEE 123-bus system, were used to evaluate the effectiveness of the proposed model and approach.