2019
DOI: 10.1007/s40565-019-0508-7
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Real-time pricing method for smart grids based on complementarity problem

Abstract: Considering a demand response (DR) based social welfare maximization model, a complementarity problem based on the Karush-Kuhn-Tuker condition is described, which is a non-dual method for determining real-time price for smart grids. The Lagrange multiplier in the dual method, which is used to determine the basic electricity price, is applied in the model. The proposed method computes the optimal electricity consumption, price and production. According to the electricity price, users can arrange their electrici… Show more

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Cited by 26 publications
(15 citation statements)
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“…In [29], the focus is on PV and DR, while in [30], the focus is on retailers. Still focusing on statistical simulations, in [31], consumers react to prices in real time to define the optimal consumption, price, and production, aiming to maximize social welfare. From the perspective of a distribution network reliability, in [32], several scenarios are tested regarding the positive impacts of DR and electric vehicles, where these resources are prioritized.…”
Section: Ctn Dgn Fimentioning
confidence: 99%
“…In [29], the focus is on PV and DR, while in [30], the focus is on retailers. Still focusing on statistical simulations, in [31], consumers react to prices in real time to define the optimal consumption, price, and production, aiming to maximize social welfare. From the perspective of a distribution network reliability, in [32], several scenarios are tested regarding the positive impacts of DR and electric vehicles, where these resources are prioritized.…”
Section: Ctn Dgn Fimentioning
confidence: 99%
“…If Equation ( 5) is a convex function, we can apply Lagrange relaxation [6,26,27], and Lagrange multipliers correspond to shadow prices. Lagrangian function and Karush-Kuhn-Tucker conditions are represented as:…”
Section: Formulation Of Power Supply-demand-balancing Operation Under Swmmentioning
confidence: 99%
“…Many works have made study on RTP. In Samadi et al (2010) and Zhu et al (2018), a distributed RTP scheme based on the maximization of social welfare was formulated for the grid operator to tackle the DR. By the Karush–Kuhn–Tuker condition, Wang and Gao (2019) transformed the social welfare maximization model into a series of nonsmooth equations, and then used smoothing method and the quasi-Newton method to obtain the price. Qian et al (2013) formulated RTP scheme based on two-stage optimization.…”
Section: Introductionmentioning
confidence: 99%