Formulation and Solution of Maritime Grids Optimization

The management tasks of maritime grids are comprehensively reviewed in Chap. 3, then in this Chapter, various optimization models for those goals are reviewed. According to the types of decision variables, the optimization models can be classified as three main types, (1) Synthesis optimization, which refers to the optimal configuration of maritime grids, including the construction layout, electrical layout, and the system structure; (2) Design optimization or planning optimization, which refers to determine the technical characteristics of each component, such as the system capacity, and rated power; (3) Operation optimization, which refers to determine the optimal operating states for a given system (i.e., the synthesis and design are both known) under specified conditions. Three types of optimization models can be abbreviated as Synthesis-Design-Operation (SDO) optimization, which is coordinated with each other to achieve the overall optimum. In this Chapter, the formulation and solution of SDO optimization for maritime grids are described. At first, the Synthesis-Design-Operation (SDO) optimization of maritime grids are explained, then the typical topology of maritime grids are reviewed, then the overall compact optimization models for maritime grids are formulated. At last, the solution methods are reviewed and a decomposition-based method to solve the optimization models is described.