Abstract

A structural optimization method is proposed for designing energy supply systems in consideration of the discreteness of equipment capacities. The structural optimization problem is formulated as a large-scale mixed-integer linear programming (MILP) problem with binary variables for selection and on/off status of equipment, and continuous variables for energy flow rates of equipment. This problem is solved by extending a decomposition method for the MILP problem with continuous equipment capacities. Through a numerical case study, it turns out that the proposed method derives a suboptimal solution for a suitable structural design, and that installing multiple units for cogeneration is economical.

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