Research on Economic Dispatch Issues in Microgrids Using Trajectory-Unified Technology

The Trajectory-Unified Method is a widely used approach for solving global optimum solutions to nonlinear optimization problems, but it typically has a relatively large convergence region. To address this, a unified method for calculating multiple optimal solutions in constrained nonlinear optimization based on trust technology is proposed and applied to the economic dispatch problem of microgrids. The proposed method consists of two parts: the Trajectory-Unified Method and the Trust-Tech Method. In the first part, the Trajectory-Unified Method is used to converge to a local optimum, and in the second part, the Trust-Tech Method is used to jump out of a known local optimum and converge to nearby local optima. This paper tested the proposed optimization technique on four standard cases and practical economic dispatch problems, achieving favorable results, which validate the effectiveness and rationality of the proposed optimization algorithm.