2016
DOI: 10.1109/tsg.2015.2429152
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A Faithful Distributed Mechanism for Demand Response Aggregation

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Cited by 48 publications
(25 citation statements)
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“…Indeed, using Danskin's theorem [58]- [60], the subdifferentials of D (λ) are Specifically, as the subproblems in (38) and (39) can have multiple optimal solutions for a given vector λ, the subdifferentials ∂D (λ) may be not be unique and the dual function D (λ) can be nonsmooth. 7 Consequently, applying a conventional gradient method [61] to this problem would most likely exhibit very slow convergence. This can be visualized in Figure 2, which illustrates the concave but nonsmooth dual function (and its contour plot) of a small problem comprising two households, each with two devices (an EV and an electric oven) scheduled over two time slots.…”
Section: Demand Aggregation Problemmentioning
confidence: 99%
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“…Indeed, using Danskin's theorem [58]- [60], the subdifferentials of D (λ) are Specifically, as the subproblems in (38) and (39) can have multiple optimal solutions for a given vector λ, the subdifferentials ∂D (λ) may be not be unique and the dual function D (λ) can be nonsmooth. 7 Consequently, applying a conventional gradient method [61] to this problem would most likely exhibit very slow convergence. This can be visualized in Figure 2, which illustrates the concave but nonsmooth dual function (and its contour plot) of a small problem comprising two households, each with two devices (an EV and an electric oven) scheduled over two time slots.…”
Section: Demand Aggregation Problemmentioning
confidence: 99%
“…One way to obtain a smooth approximation of D (λ) is to modify the subproblems in (39) to ensure a unique optimal solution for every λ. The dual function is modified as follows: 7 If a function f (x) is smooth, its subdifferential contains only one point and therefore ∂f (x) = ∇f (x). where…”
Section: A First Smoothingmentioning
confidence: 99%
“…A comprehensive view on technical methodologies and architecture, and socioeconomic and regulatory factors that could facilitate the uptake of DR is reported in [3]. In the path of change mentioned above, the customer does not act as an individual; on the contrary, the customer is a member of an integrated community, coordinated by an intermediary named aggregator or coalition coordinator [4][5][6][7].…”
Section: Introductionmentioning
confidence: 99%
“…In reference [21] the distributed demand response (DDR) problem has been examined, where real-time balance in a neighbourhood has been studied. In reference [22], a distributed mechanism for demand response aggregation has been proposed. The mechanism is used for charging purposes and uses the day-ahead allocation and the customers' real consumption.…”
mentioning
confidence: 99%