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MILP Approaches to Optimal Design and Operation of Distributed Energy Systems

  • Energy field is one of the practical areas to which optimization can contribute significantly. In this chapter, the application of mixed-integer linear programming (MILP) approaches to optimal design and operation of distributed energy systems is described. First, the optimal design and operation problems are defined, and relevant previous work is reviewed. Then, an MILP method utilizing the hierarchical relationship between design and operation variables is presented. In the optimal design problem, integer variables are used to express the types, capacities, numbers, operation modes, and on/off states of operation of equipment, and the number of these variables increases with those of equipment and periods for variations in energy demands, and affects the computation efficiency significantly. The presented method can change the enumeration tree for the branching and bounding procedures, and can search the optimal solution very efficiently. Finally, future work in relation to this method is described.

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Author:Ryohei Yokoyama, Yuji ShinanoORCiD
Document Type:Book chapter
Parent Title (English):Optimization in the Real World
Volume:Volume 13
First Page:157
Last Page:176
Series:Mathematics for Industry
Year of first publication:2015
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