The redistribution of power flow in cascading failures
The redistribution of power flow in cascading failures
复制标题
连锁故障中潮流的重新分配
DOI：
10.1109/allerton.2013.6736639
复制
发表时间：
2013
期刊：
影响因子：
--
通讯作者：
S. Low
中科院分区：
文献类型：
--
作者：
Chengdi Lai;S. Low
了解潮流的重新分配对于了解级联故障的动态至关重要。这种重新分配很复杂，单调性只是例外而不是常态。我们分别研究了支路潮流二次函数对于链路故障和减载的单调性。二次函数可以被视为聚合网络负载的度量。我们表明，当发生（更多）链路故障时，该度量的值会增加。另一方面，虽然任意减载可以增加测量值，但我们建立了可以保证其减少的减载的存在。利用这些单调性特性，我们表明，链路故障将导致其相邻链路上的功率流在与故障链路上的原始流相同的方向上（远离或朝向其常见事件总线）发生变化。
Understanding the redistribution of power flow is crucial to understanding the dynamics of cascading failures. Such redistribution is complicated, with monotonicity being the exception rather than the norm. We study the monotonicity of a quadratic function of branch power flow with respect to link failure and load shedding, respectively. The quadratic function can be considered as a measure of the aggregate network loading. We show that the value of this measure increases when (more) link failure occurs. On the other hand, while arbitrary load shedding can increase the measure value, we establish the existence of load shedding that can guarantee its reduction. Utilizing these monotonicity properties, we show that the failure of a link will cause the power flow over its adjacent link to have a change in the same direction (away or towards their commonly incident bus) as the original flow over the failed link.