基于随机矩阵理论的电压稳定性扰动源定位

Voltage Stability Disturbance Source Location Method Based on Stochastic Matrix Theory

保持电压幅值在合理范围内,减少因电压扰动对负荷侧的影响,是提高供电可靠性重要环节。在大数据背景下,提出了一种基于随机矩阵理论的电压稳定性扰动源定位方法:首先利用分离窗技术构造随机矩阵的数据源,并对数据通过添加高斯白噪声进行预处理;然后基于随机矩阵定理,通过分析数据源矩阵的统计特性,提出使用平均谱半径表征电网出现扰动时的宏观态势,利用协方差矩阵的特征值与特征向量构造统计指标,定位出现电压扰动的具体节点。场景分析表明,该方法针对环网与辐射状配电网暂态电压稳定性扰动源定位以及静态电压稳定性扰动源定位均表现出较好的效果。

Keeping the voltage amplitude within a reasonable range and reducing the influence of the voltage disturbance onthe load side are important means to improve the reliability of power supply. A method for locating the voltage disturbance source was proposed by using the random matrix theory.Firstly,the data source of the random matrix is constructed byusing real-time split-window,and the data is preprocessed byadding Gaussian white noise. Then,based on the random matrix theorem,the statistical feature in the data source isanalyzed,and the macroscopic situation of the disturbance ispresented by using the mean spectral radius. The eigenvalues and eigenvectors of the covariance matrix are used to construct the statistical indexes to locate specific buses appearing disturbances. Cases study shows that the method is effective for the disturbance location of the static voltag estability analysis and the transient voltage stability analysis in the ring network and the radial distribution network.