论文标题
分布式控制执行智能网格中的群体稀疏性
Distributed Control Enforcing Group Sparsity in Smart Grids
论文作者
论文摘要
在现代的智能电网中，当地储能设备的充电在住宅水平上进行协调，以补偿感兴趣的时间间隔的挥发性综合电源需求。但是，这导致了所有电池的永久使用，从而减少了它们的寿命。我们通过使用$ \ ell_ {p，q} $ - 在控件上的正规化来抵消这种现象来实施组的稀疏性。这导致了一个非平滑凸优化问题，为此，我们提出了一种量身定制的乘数算法的交替方向方法。我们详细阐述了如何将其嵌入模型预测控制框架中。我们表明，所提出的方案会产生稀疏的控制，同时通过数值模拟实现合理的总体峰值剃须。
In modern smart grids, charging of local energy storage devices is coordinated on a residential level to compensate the volatile aggregated power demand on the time interval of interest. However, this results in a perpetual usage of all batteries which reduces their lifetime. We enforce group sparsity by using an $\ell_{p,q}$-regularization on the control to counteract this phenomenon. This leads to a non-smooth convex optimization problem, for which we propose a tailored Alternating Direction Method of Multipliers algorithm. We elaborate further how to embed it in a Model Predictive Control framework. We show that the proposed scheme yields sparse control while achieving reasonable overall peak shaving by numerical simulations.
