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对由正交滤波器对构成的相量算法进行了系统地阐述。由于相量算法的滤波特性不仅与输入信号的频率有关,还与时间参数有关,因此提出了相量算法频率特性的概念。在此基础上,通过对不同窗函数及其频率特性的分析,以窗函数系数为参变量,推导了基于正余弦滤波器对的相量算法的通用离散时域算式和最大幅频特性的表达式。以发电机匝间保护为例,针对继电保护对某些典型特征谐波的滤波要求,提出了搜寻最佳窗函数系数的设计方法,使得算法可以有效地滤除特征谐波,同时又能够兼顾对其他非特征谐波的抑制。
The quadrature filter composed of phasor algorithms are systematically described. Because the filtering characteristics of the phasor algorithm are not only related to the frequency of the input signal but also to the time parameters, the concept of the frequency characteristics of the phasor algorithm is proposed. Based on the analysis of different window functions and their frequency characteristics, the expression of the general discrete time-domain and the maximum amplitude-frequency characteristic of the phasor algorithm based on the cosine filter pair is derived by taking the window function coefficient as the parameter. formula. Taking the inter-turn protection of generator as an example, aiming at the filtering requirements of some typical characteristic harmonics in relay protection, a design method of searching for the optimal window function coefficient is proposed, which makes the algorithm can effectively filter out characteristic harmonics, Take into account the suppression of other non-characteristic harmonics.