四分之三基波周期最小二乘相量估计算法

发布时间：2019-06-07 08:42

【摘要】：同步相量估计算法对同步相量测量单元(phasor measurement unit,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-quarter fundamental period least squares,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。
[Abstract]:Synchronous phasor estimation algorithm has an important influence on the performance of synchronous phasor measurement unit (phasor measurement unit,PMU). How to obtain accurate, real-time and good dynamic performance phasor estimation algorithm is worth studying. For this reason, a 3/4 fundamental period least square (three-quarter fundamental period least squares,TQLS) phasor estimation algorithm is proposed. The estimation period of the TQLS method is 3/4 fundamental period, that is, the signal in the time window is sampled, and according to the conclusion derived from the formula, The relationship between the sampling results and the fundamental phasor can be obtained. By using the least square method, the phasor can be estimated from the sampling results. There is no Taylor series expansion in the whole estimation process. Theoretical analysis shows that the proposed TQLS algorithm can accurately estimate the fundamental phasor. At the same time, the amplitude of the frequency response of the proposed algorithm is flat near the fundamental frequency, and the dynamic phasor can be accurately estimated. The simulation results verify the effectiveness of TQLS algorithm from the point of view of frequency domain and time domain, and the simulation results show that the computational complexity of TQLS algorithm is similar to that of Fourier transform method.
【作者单位】：中国电力科学研究院;
【基金】：中国电力科学研究院科技创新项目(JL83-15-001)的资助
【分类号】：TM933.313

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