文献类型：期刊文献

英文题名：Quantifying fluctuations for dynamical power systems with stochastic excitations: A power spectral density-based method

作者：Qing, Xiangyun[1];He, Wangli[1];Zhou, Min[1];Du, Wenli[1]

机构：[1]East China Univ Sci & Technol, Minist Educ, Key Lab Smart Mfg Energy Chem Proc, Shanghai 200237, Peoples R China

年份：2023

卷号：33

期号：5

外文期刊名：CHAOS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000989055200001)】；

基金：ACKNOWLEDGMENTS This work was supported by the Shanghai Pilot Program for Basic Research (No. 22TQ1400100-3) and Shanghai International Science and Technology Cooperation Program (No. 21550712400).

语种：英文

摘要：Fluctuations of state variables play a pivotal role in analyzing small signal stability of the power system due to the integration of renewable energy sources. This paper develops a theoretical analysis methodology by using the power spectral density (PSD) for capturing the frequency and amplitude of state variable fluctuations in heterogeneous power systems with stochastic excitations. The fluctuations in generation and consumption occurring simultaneously are modeled by stochastic Ornstein-Uhlenbeck processes. The PSDs of the state variable fluctuations can be analytically calculated. PSD-based quantities have been proposed to evaluate angle and frequency deviations. Moreover, a global performance metric has been presented to measure the synchronization stability and calculated using the PSDs of frequency deviations. The underlying mathematical relationship between the metric and the primary control effort mimicking the H (2)-norm performance is explained in detail. Finally, the proposed analysis methodology is numerically illustrated on the IEEE RTS-96 test case. We investigate the impact of auto-correlations of stochastic processes on stability. Our results show the metric can be an alternative quantitative index of stability. We further find that the inertia allocation does not provide significant grid stability gain under small stochastic power fluctuations.