This paper proposes a consensus-based subgradientmethod under a common constraint set with switching undirected graphs. In the proposed method, each agent has a state and an auxiliary variable as the estimates of an ...
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This paper proposes a consensus-based subgradientmethod under a common constraint set with switching undirected graphs. In the proposed method, each agent has a state and an auxiliary variable as the estimates of an optimal solution and accumulated information of past gradients of neighbor agents. We show that the states of all agents asymptotically converge to one of the optimal solutions of the convex optimization problem. The simulation results show that the proposed consensus-based algorithm with accumulated subgradient information achieves faster convergence than the standard subgradient algorithm.
Participants in future power markets will include many new entities brought by the emerging Smart Grid technologies. Such entities tend to behave autonomously to maximize their own benefits without revealing their det...
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ISBN:
(纸本)9781479913039
Participants in future power markets will include many new entities brought by the emerging Smart Grid technologies. Such entities tend to behave autonomously to maximize their own benefits without revealing their detailed information, making it difficult to centrally clear the unit commitment based markets considering the security constraints coupled among entities. This paper presents a two level decentralized framework for solving the day-ahead unit commitment problem. On the lower level, each entity solves its own problem to optimize its benefits under the guidance of locational electricity prices, and sends the results to a bus coordinator. On the upper level, coordinators communicate with their neighbours to update the prices by using a distributed subgradient method. It is proved that with probability 1, the method will lead to a consensus on prices among all buses so that the market is cleared. Illustrative examples are provided to demonstrate the effectiveness of our framework.
Participants in future power markets will include many new entities brought by the emerging Smart Grid technologies. Such entities tend to behave autonomously to maximize their own benefits without revealing their det...
详细信息
ISBN:
(纸本)9781479913022
Participants in future power markets will include many new entities brought by the emerging Smart Grid technologies. Such entities tend to behave autonomously to maximize their own benefits without revealing their detailed information, making it difficult to centrally clear the unit commitment based markets considering the security constraints coupled among entities. This paper presents a two level decentralized framework for solving the day-ahead unit commitment problem. On the lower level, each entity solves its own problem to optimize its benefits under the guidance of locational electricity prices, and sends the results to a bus coordinator. On the upper level, coordinators communicate with their neighbours to update the prices by using a distributed subgradient method. It is proved that with probability 1, the method will lead to a consensus on prices among all buses so that the market is cleared. D1ustrative examples are provided to demonstrate the effectiveness of our framework.
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