A Mixed Integer Linear Programming Approach for Optimal DER Portfolio, Sizing, and Placement in Multi-Energy Microgrids

TitleA Mixed Integer Linear Programming Approach for Optimal DER Portfolio, Sizing, and Placement in Multi-Energy Microgrids
Publication TypeJournal
Year of Publication2016
AuthorsMashayekh, Salman, Michael Stadler, Gonçalo Cardoso, and Miguel Heleno
Keywordselectrical network, heating and cooling network, mixed-21 integer linear program, Multi-energy microgrid design, power flow
Abstract

Optimal microgrid design is a challenging problem, especially for multi-energy microgrids with 7 electricity, heating, and cooling loads as well as sources, and multiple energy carriers. To address this 8 problem, this paper presents an optimization model formulated as a mixed-integer linear program, 9 which determines the optimal technology portfolio, the optimal technology placement, and the 10 associated optimal dispatch, in a microgrid with multiple energy types. The developed model uses a 11 multi-node modeling approach (as opposed to an aggregate single-node approach) that includes 12 electrical power flow and heat flow equations, and hence, offers the ability to perform optimal siting 13 considering physical and operational constraints of electrical and heating/cooling networks. The new 14 model is founded on the existing optimization model DER-CAM, a state-of-the-art decision support tool 15 for microgrid planning and design. The results of a case study that compares single-node vs. multi-node 16 optimal design for an example microgrid show the importance of multi-node modeling. It has been 17 shown that single-node approaches are not only incapable of optimal DER placement, but may also 18 result in sub-optimal DER portfolio, as well as underestimation of investment costs.

LBNL Report Number

LBNL-1006559

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