Hierarchical Distributed Optimization of Rural Integrated Energy Systems Considering Energy Storage Aggregation

With rural revitalization and industrial upgrading, a single electrical perspective can no longer meet diversified energy demands. Meanwhile, rapid growth of distributed resources such as photovoltaics, storage, and biomass enables multi-energy complementarity. This paper proposes a hierarchical distributed optimization framework for Rural Distributed Energy Systems (RDES) explicitly considering storage aggregation. First, basic models are developed for diverse resources in the RDES, and Minkowski sum and inner approximation methods are used for storage aggregation. Considering electricity, heat, and cooling, a two-level operation model is built at both the distribution network and transformer area levels. Then, an ADMM-based distributed algorithm coordinates multiple rural energy areas and the distribution network through iterative interactions. Finally, an integrated energy test network based on the IEEE-30 system verifies that the model minimizes overall operational cost while protecting district interests and ensuring thermal–electrical network safety.