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电网技术  2015 

四分之三基波周期最小二乘相量估计算法

DOI: 10.13335/j.1000-3673.pst.2015.04.040, PP. 1139-1145

Keywords: 同步相量测量单元,四分之三基波周期,相量估计,最小二乘法,动态性能

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Abstract:

同步相量估计算法对同步相量测量单元(phasormeasurementunit,PMU)的性能有重要影响,如何获得准确、实时性好、具有良好动态性能的相量估计算法值得研究。为此,提出四分之三基波周期最小二乘(three-quarterfundamentalperiodleastsquares,TQLS)相量估计算法。TQLS法的估计周期为四分之三基波周期,即对该时间窗内的信号进行采样,根据公式推导的结论,可以得到采样结果与基波相量之间的关系。利用最小二乘法,可以由采样结果估计出相量。在整个估计过程中没有泰勒级数展开。理论分析表明,所提TQLS算法可以准确估计基波相量,同时,该算法在基频附近频率响应的幅值平坦,可以准确估计动态相量。仿真结果分别从频域和时域角度验证了TQLS算法的有效性,并且仿真结果显示TQLS算法的计算量与傅里叶变换法相当。

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