电工技术学报2017,Vol.32Issue(6):41-48,8.
环境激励与小幅持续周期扰动表现特征及统计学分析
The Statistical Characteristics of Response Undergoing Slight Sustained Periodic Disturbance and Ambient Excitation
摘要
Abstract
The system response is similar to the small fluctuations in noise because of ambient excitations, such as random fluctuations of renewable energy outputs and the switching of loads. If the magnitude of periodic perturbation is small, it might be submerged in the random responses undergoing ambient excitations. This paper derives the mathematical expressions of the dynamic responses undergoing slight sustained periodic disturbance and ambient excitation. And then the related mechanism of active power characterization was explained from a mathematical point-of-view. Based on sliding Kurtosis method (SKM), a method for slight sustained periodic disturbance detection was proposed according to the statistical characteristics of dynamic response undergoing slight sustained periodic disturbance and ambient excitation. Firstly, the fourth moment and the variance of the active power of tie line were analyzed, and then the corresponding Kurtosis was calculated. Finally, the slight sustained periodic disturbance can be detected by quantitative comparisons of the kurtosis results. Simulations in 4-machine 2-area system and 16-machine 68-bus system have verified the proposed method.关键词
环境激励/周期扰动/滑动峰态系数法/统计学特征Key words
Ambient excitation/periodic disturbance/sliding Kurtosis method/statistical characteristics分类
信息技术与安全科学引用本文复制引用
杨德友,王丽馨,蔡国伟..环境激励与小幅持续周期扰动表现特征及统计学分析[J].电工技术学报,2017,32(6):41-48,8.基金项目
国家自然科学基金资助项目(51507028、51377017). (51507028、51377017)