A new adaptive robust multi-objective optimization algorithm for dispatching of microgrids design

Uncertainty widely exists in real-world applications. When uncertainty occurs, the robustness of solutions obtained by optimization is critical to the operation of the application. In the process of solving robust solutions, the balance between robustness and convergence is the key problem. Attaching undue importance to robustness leads to local optimality, while excessive convergence leads to loss of robust solutions. Motivated by above, a new adaptive robust multi-objective optimization algorithm is proposed. This algorithm proposes both a convergence-driven strategy and a robustness-driven strategy, and it adaptively selects between them by evaluating the population's evolutionary state. In the robust driven strategy, a new robustness metric is proposed to evaluate the robustness of individuals under disturbance. A penalty function based on the proposed metric guides the environmental selection process to enhance robustness. In the convergent driven strategy, the environment selection is mainly driven by the non-dominant relationship. A region robustness estimation strategy is proposed to evaluate the individuals in critical layer. Compared to four state of-the-art multi-objective algorithms on benchmark suits, the proposed algorithm performs better than its peers. In addition, the robust optimization problem of the dispatching of microgrids is constructed and the proposed algorithm is used for optimization of microgrids. The effectiveness of experimental results reveal that our methods are very promising in tackling the dispatching of microgrids problems.

Authors

• Xue Feng
• Lei Cui University of Chinese Academy of Sciences
• Dexin Ren
• Anqi Pan
• Juchen Hong

Keywords

• Evolutionary algorithm
• Multi-objective optimization
• Robust multi-objective optimization