The Random ADMM and Its Application to Convex Economic Dispatch Problems of Power Systems

2021 ◽  
Vol 42 (9) ◽  
pp. 979-988
Author(s):  
CHEN Weijun ◽  
◽  
◽  
LUO Honglin ◽  
PENG Jianwen
Energy ◽  
2021 ◽  
pp. 121015
Author(s):  
Ziqi Shen ◽  
Wei Wei ◽  
Lei Wu ◽  
Miadreza Shafie-khah ◽  
João P.S. Catalão

2016 ◽  
Vol 10 (5) ◽  
pp. 1294-1303 ◽  
Author(s):  
Houhe Chen ◽  
Rufeng Zhang ◽  
Linquan Bai ◽  
Guoqing Li ◽  
Fangxing Li

2019 ◽  
Vol 34 (6) ◽  
pp. 5103-5114 ◽  
Author(s):  
Mohammad Sadegh Modarresi ◽  
Le Xie ◽  
Marco Claudio Campi ◽  
Simone Garatti ◽  
Algo Care ◽  
...  

2021 ◽  
Author(s):  
Georgios Tsaousoglou ◽  
Katerina Mitropoulou ◽  
Konstantinos Steriotis ◽  
Nikolaos Paterakis ◽  
Pierre Pinson ◽  
...  

<div>In modern power systems, small distributed energy resources (DERs) are considered a valuable source of flexibility towards accommodating high penetration of Renewable Energy Sources (RES). In this paper we consider an economic dispatch problem for a community of DERs, where energy management decisions are made online and under uncertainty. We model multiple sources of uncertainty such as RES, wholesale electricity prices as well as the arrival times and energy needs of a set of Electric Vehicles. The economic dispatch problem is formulated as a multi-agent Markov Decision Process. The difficulties lie in the curse of dimensionality and in guaranteeing the satisfaction of constraints under uncertainty.</div><div>A novel method, that combines duality theory and deep learning, is proposed to tackle these challenges. In particular, a Neural Network (NN) is trained to return the optimal dual variables of the economic dispatch problem. By training the NN on the dual problem instead of the primal, the number of output neurons is dramatically reduced, which enhances the performance and reliability of the NN. Finally, by treating the resulting dual variables as prices, each distributed agent can self-schedule, which guarantees the satisfaction of its constraints. As a result, our simulations show that the proposed scheme performs reliably and efficiently.</div>


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