Coordinated Operation of Multiple Distribution Systems Using Adjusted Cost-Influencing Participation Factor Based on a Distributionally Robust Chance-Constrained Model

The integration of photovoltaic generators introduces significant uncertainties in distribution network (DN) operations. This study presents a novel distributionally robust energy management strategy for multiple DNs, addressing inherent variabilities in renewable energy generation and load demands. To achieve the optimal energy management across the entire system under uncertainty, we introduce a novel concept: the adjusted cost-influencing participation factor (ACPF). The distribution system operator incorporates critical components such as the net power of the entire system, the locational marginal prices of the DNs, and the rated capacities of the generation units to compute the ACPF. We further reformulate the proposed distributionally robust chance constraint into a deterministic linear constraint by employing duality theory and the nested bisection search method. Comprehensive case studies on modified IEEE test systems validate the proposed methodology, demonstrating enhanced operational efficiency and reduced generation costs under various parameters and scenarios. The approach offers a robust framework for optimizing energy transactions across multiple DNs.