Optimal Design and Operation of Energy Supply Systems by Hierarchical Optimization

(Model Reduction by Clustering Periods and Its Effect)

Abstract

A hierarchical mixed-integer linear programming method has been proposed to solve optimal design problems of energy supply systems efficiently. In this paper, a method of reducing model by clustering periods is proposed to search design solution candidates efficiently in the relaxed optimal design problem at the upper level. This method is realized only by clustering periods and averaging energy demands for clustered periods, while it guarantees to derive the optimal solution. Through a case study on the optimal design of a cogeneration system, it is clarified how the model reduction is effective to enhance the computation efficiency.