四分之三基波周期最小二乘相量估計算法
發(fā)布時間：2019-06-07 08:42
【摘要】：同步相量估計算法對同步相量測量單元(phasor measurement unit,PMU)的性能有重要影響,如何獲得準(zhǔn)確、實時性好、具有良好動態(tài)性能的相量估計算法值得研究。為此,提出四分之三基波周期最小二乘(three-quarter fundamental period least squares,TQLS)相量估計算法。TQLS法的估計周期為四分之三基波周期,即對該時間窗內(nèi)的信號進行采樣,根據(jù)公式推導(dǎo)的結(jié)論,可以得到采樣結(jié)果與基波相量之間的關(guān)系。利用最小二乘法,可以由采樣結(jié)果估計出相量。在整個估計過程中沒有泰勒級數(shù)展開。理論分析表明,所提TQLS算法可以準(zhǔn)確估計基波相量,同時,該算法在基頻附近頻率響應(yīng)的幅值平坦,可以準(zhǔn)確估計動態(tài)相量。仿真結(jié)果分別從頻域和時域角度驗證了TQLS算法的有效性,并且仿真結(jié)果顯示TQLS算法的計算量與傅里葉變換法相當(dāng)。
[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.
【作者單位】： 中國電力科學(xué)研究院;
【基金】：中國電力科學(xué)研究院科技創(chuàng)新項目(JL83-15-001)的資助
【分類號】：TM933.313
[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.
【作者單位】： 中國電力科學(xué)研究院;
【基金】：中國電力科學(xué)研究院科技創(chuàng)新項目(JL83-15-001)的資助
【分類號】：TM933.313
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