Development of Mathematical Model for Optimal Design of the Storage and Delivery System of the ITER

Abstract

In this research, mathematical models for optimal design of the multi-bed system in the Storage and Delivery System (SDS) of the ITER are proposed. The objective is to minimize the number of equipment to reduce cost and operation complexity. In Chapter 2, a mathematical model to optimize design of multi-bed system under periodic demand is proposed. The mathematical model is formulated as a mixed integer nonlinear programming problem based on the State Task Network (STN). To simplify the problem, team and cycle-based operation is assumed. Moreover, to ensure safety of the design, a worst-case operation condition is provided. The proposed model is applied to the inductive operation mode. With parametric sensitivity analysis, the model is expected to provide many useful insights to determine the number of units and to guide future research. In Chapter 3, an improved mathematical model is proposed to consider that the hydriding and dehydriding rates of a getter bed decay over time. More specifically, the hydriding and dehydriding rates are influenced by the amount of remaining inventory in the getter bed and time simultaneously. Therefore, we formulate the rate decays mathematically to consider these features in the design model. The optimization problem is formulated as a mixed integer nonlinear program (MINLP) model with nonlinear constraints. Inductive operation scenario is presented to illustrate the applicability of the proposed model.