不确定高压电力网线路故障频率变化率
Rate of change of frequency under line contingencies in high voltage electric power networks with uncertainties
摘要：
在运行条件快速变化的现代电力网中，评估突发事件的影响变得越来越重要。感兴趣的意外事件可以大致分为节点功率扰动和线路故障。尽管它们的相关性更高，线路意外事件已显着低于分析研究比节点干扰。其主要原因是节点功率扰动是加性扰动，而线路故障是乘性扰动，它们修改了网络的相互作用图。因此，它们在分析上更具挑战性。在这里，我们通过系统所产生的最大频率变化率（RoCoF）来评估线路损耗的直接影响。我们表明，RoCoF取决于初始功率流上删除线和总线的惯性，它是测量。我们进一步推导出最大RoCoF的期望和方差的解析表达式，在功率不确定性的电力系统的情况下的功率分布的期望和方差。这提供了分析工具来识别电功率电网中最关键的线路。
英文摘要：
In modern electric power networks with fast evolving operational conditions, assessing the impact of contingencies is becoming more and more crucial. Contingencies of interest can be roughly classified into nodal power disturbances and line faults. Despite their higher relevance, line contingencies have been significantly less investigated analytically than nodal disturbances. The main reason for this is that nodal power disturbances are additive perturbations, while line contingencies are multiplicative perturbations, which modify the interaction graph of the network. They are, therefore, significantly more challenging to tackle analytically. Here, we assess the direct impact of a line loss by means of the maximal Rate of Change of Frequency (RoCoF) incurred by the system. We show that the RoCoF depends on the initial power flow on the removed line and on the inertia of the bus where it is measured. We further derive analytical expressions for the expectation and variance of the maximal RoCoF, in terms of the expectations and variances of the power profile in the case of power systems with power uncertainties. This gives analytical tools to identify the most critical lines in an electric power grid.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
