基于随机矩阵谱分析的输电线路故障检测算法

针对基于基波相量体系和时域波形相似度的故障检测算法抗干扰能力不强,提出了一种基于随机矩阵谱分析的输电线路故障检测算法。首先,利用故障线路两侧电流故障分量波形几乎反向的特性,通过滑动的定长时间窗,将线路的一侧电流故障分量与另一侧电流故障分量相反量形成原始矩阵,进行复制、平移、加噪声等处理构造随机矩阵,计算其平均谱半径,并进行谱分析,给出了线路的两个故障检测判据。然后,结合随机矩阵理论的单环定理,给出了阈值的确定办法,分析了各种因素对所提算法的影响。最后,利用IEEE 39节点系统的大量仿真算例验证了算法的有效性,实验表明该算法不受故障点位置、线路重载、非全相运行等因素的影响,在系统发生振荡时也不会误切除正常线路,耐受过渡电阻能力强,对信息的同步性要求不高。

Fault Detection Algorithm for Transmission Lines Based on Random Matrix Spectrum Analysis

Considering the lack of anti-interference ability of fault detection algorithm based on the fundamental wave phasor system and similarity of time-domain waveform, a novel transmission line fault detection algorithm based on random matrix spectrum analysis is proposed. Firstly, using the almost reverse characteristics of waveforms for the current fault components at both ends of the line, the original matrix is formed by a fixed time window that consists of current fault component on one side and opposite current fault component on the other side. A random matrix is constructed by copying, translating, and adding noise, its mean spectral radius is calculated and spectrum analysis is taken, which brings about two criteria of fault detections for lines. Then, the single ring theorem of the theory for random matrix is used to set the threshold and the influence of various factors on the proposed algorithm is analyzed. Finally, a large number of simulation examples in the IEEE-39 bus system prove the effectiveness of the algorithm. The simulation results show that the algorithm is not affected by the fault location, non-full-phase operation and heavy load and it will not cut off the normal line when the system oscillates. It also has a strong ability of resisting the transition resistance and does not require high information of synchronization.