Convergence and optimality of a new iterative price-based scheme for distributed coordination of flexible loads in the electricity market
Convergence and optimality of a new iterative price-based scheme for distributed coordination of flexible loads in the electricity market
复制标题
DOI：
10.1109/cdc.2017.8263848
复制
发表时间：
2017-12
期刊：
影响因子：
--
通讯作者：
A. Paola;D. Angeli;G. Strbac
中科院分区：
文献类型：
--
作者：
A. Paola;D. Angeli;G. Strbac
针对柔性需求的大规模部署问题，提出了一种新的分布式控制策略。这些设备被建模为竞争对手，对价格信号的迭代广播做出响应，调度它们的功耗以最低成本运行。通过描述他们的功率更新在每个价格广播通过一个多值离散时间动态系统和应用李雅普诺夫技术，它表明，所提出的控制策略总是收敛到一个稳定的最终配置，其特征在于作为一个Wardrop（或聚合）平衡。它也证明了这样的均衡是社会有效的，优化了系统的一些全局性能指标（如最小化总发电成本）。这些结果是在非常一般的电价假设和任何灵活需求的渗透水平下实现的。实际实施所提出的方案进行了讨论和测试，在未来的情况下，大量的灵活负载的英国电网的模拟。
This paper proposes a novel distributed control strategy for large-scale deployment of flexible demand. The devices are modelled as competing players that respond to iterative broadcasts of price signals, scheduling their power consumption to operate at minimum cost. By describing their power update at each price broadcast through a multi-valued discrete-time dynamical system and by applying Lyapunov techniques, it is shown that the proposed control strategy always converges to a stable final configuration, characterized as a Wardrop (or aggregative) equilibrium. It is also proved that such equilibrium is socially efficient and optimizes some global performance index of the system (e.g. minimizes total generation costs). These results are achieved under very general assumptions on the electricity price and for any penetration level of flexible demand. Practical implementation of the proposed scheme is discussed and tested in simulation on a future scenario of the UK-grid with large numbers of flexible loads.