论文标题
减轻电网中不确定地磁干扰的影响的算法
Algorithms for Mitigating the Effect of Uncertain Geomagnetic Disturbances in Electric Grids
论文作者
论文摘要
地磁干扰（GMD）是太空天气的结果，对电网构成严重风险。当GMD发生时，它们可能会引起地磁诱导的电流（GIC），该电流（GIC）饱和变压器，诱导热点加热并增加传输网格中的反应性损失。此外，地理领域的大小和方向的不确定性以及不足的历史数据使得减轻不确定GMD的效果的问题。在本文中，我们提出了一种新颖的分布优化（DRO）方法，该方法对不确定的GMD进行建模并减轻GIC对电网的影响。这是通过在GMD事件发生之前通过一组缓解措施（例如，线路开关，定位阻止设备，重新点击和负载脱落的）来实现的，以使系统成本最糟糕的期望被最小化。为此，我们开发了一种列和约束生成算法，该算法求解了一系列混合二阶圆锥程序，以处理不确定的GMD的基础凸支持集。同样，当带有三个极端点的多人近似基础支持集时，我们会介绍DRO模型的单片精确重新印度。关于“ EPRI-21”系统的数值实验显示了所提出的算法的功效以及我们DRO模型的精确重新制定。
Geomagnetic disturbances (GMDs), a result of space weather, pose a severe risk to electric grids. When GMDs occur, they can cause geomagnetically-induced currents (GICs), which saturate transformers, induce hot-spot heating, and increase reactive power losses in the transmission grid. Furthermore, uncertainty in the magnitude and orientation of the geo-electric field, and insufficient historical data make the problem of mitigating the effects of uncertain GMDs challenging. In this paper, we propose a novel distributionally robust optimization (DRO) approach that models uncertain GMDs and mitigates the effects of GICs on electric grids. This is achieved via a set of mitigation actions (e.g., line switching, locating blocking devices, generator re-dispatch and load shedding), prior to the GMD event, such that the worst-case expectation of the system cost is minimized. To this end, we develop a column-and-constraint generation algorithm that solves a sequence of mixed-integer second-order conic programs to handle the underlying convex support set of the uncertain GMDs. Also, we present a monolithic exact reformulation of our DRO model when the underlying support set can be approximated by a polytope with three extreme points. Numerical experiments on 'epri-21' system show the efficacy of the proposed algorithms and the exact reformulation of our DRO model.
