作　　者： ; ; ;

机构地区： 广西大学电气工程学院

出　　处： 《电工技术学报》 2004年第4期93-97,共5页

摘　　要： 提出了一种基于数字微分和拉格朗日插值的系统频率快速而准确的测量算法。在未知信号参数的情况下,以一固定的采样频率如512×50Hz对信号进行采样,得到一采样序列。利用这一采样序列中部分采样值以及高次微分,可以在至多一个周波或20ms的时间内实现对系统频率的准确测量。在1～100Hz的范围内,系统频率的测量误差为0.001%或更小,并允许电压幅值在160～280V之间波动,相角在0～360°之间变化。与别的算法相比,快速性和正确性使得这种算法在电力测量中获得广泛的应用,更适合于在实时性要求高的场合应用。在Matlab平台上进行仿真,获得满意的结果。 An algorithm for power system frequency measurement based on numerical differentiation and central Lagrange interpolation is presented. The signal is sampled at a fixed sample frequency of 512×50Hz, and the frequency is estimated with 7-point consequences using the high-order differentiation at an error of 0.001% over a very wide range varying from 1Hz to 100Hz in at most 1 cycle, with the amplitude of the signal varying from 160V to 280V and the phase varying from 0 to 360°. Comparing with other algorithms, this method spends little time and computation over a wide range at a high accuracy. The proposed algorithm is simulated in Matlab software using a testing study example with satisfactory results.

关 键 词： 频率测量 电力系统 数字微分拉格朗日插值

领　　域： [电气工程]