Non-Iterative Coordinated Optimal Dispatch of Distribution System and Microgrids via Fast Approximation Equivalent Projection

Developing a coordinated optimal dispatch (COD) strategy for distribution systems (DS) and accessed microgrids (MGs) is one of the solutions to enhance the flexible operation of power systems. Under the premise of the operational autonomy of MGs, existing COD studies can be classified into iterative methods that allow for independent decision-making in DS and MGs, and non-iterative methods based on the operational region (OR) modeling of MGs. However, the iterative methods hardly guarantee computational convergence and efficiency, while non-iterative methods struggle to solve equivalent projections with high-dimensional ORs. To this end, a fast approximation progressive vertex enumerations (FAPVE) algorithm-based noniterative COD approach is proposed, where the high-dimensional OR considering time coupling characteristics can be formed effectively. First, a reliable outer normal vectors calculation method along with a vertices and normal vectors count limiting mechanism are introduced to enhance the computational efficiency and stability of the FAPVE algorithm. Second, a timedecoupling method for day-ahead MGs OR based on initial MG decisions is presented to ensure the applicability of the proposed algorithm to day-ahead COD problem. Statistical analysis verifies the computational efficiency and accuracy of the FAPVE algorithm, and demonstrates the effectiveness of the proposed time-decoupling method based on non-iterative framework.