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Optimal Aggregated Peak Shaving Via Residential Demand Response: A Framework for Retailers

Michael David De Souza Dutra(michaeldavidsd***at***gmail.com)
Natalia Alguacil Conde(natalia.Alguacil***at***uclm.es)

Abstract: This paper proposes an optimization framework for retailers that are involved in demand response (DR) programs. In a first phase responsive users optimize their own household consumption, characterizing not only their smart home components but also their comfort preferences. Then, the retailer exploits in a second phase this preliminary non-coordinated solution to implement a peak shaving strategy for the aggregated loads. This strategy is formulated as a bilevel problem in which the retailer costs are minimized in the upper level assuring that the aggregated residential consumers do not incur in any economic or comfort losses by participating in the DR program. The peak-shaving requests are considered by each user in the lower level in order to optimize its consumption under its particular non-financial loss criterion. The resulting problem is cast as a mixed-integer non linear bilevel problem with lower-level binary variables. A mixed-integer linear single-level reformulation is presented and an exact solution technique based on Dantzig-Wolfe decomposition is proposed. Simulations with up to 10000 residential consumers illustrate the advantages of the proposed two-phase framework in terms of privacy, effectiveness and scalability.

Keywords: Column Generation, Dantzig-Wolfe decomposition, demand response, bilevel optimization, peak shaving

Category 1: Applications -- Science and Engineering (Smart Grids )


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Entry Submitted: 07/20/2019
Entry Accepted: 07/20/2019
Entry Last Modified: 07/20/2019

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