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基于子空间动态系数回归的系统谐波阻抗估计方法
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上海电力大学电气工程学院,上海市 200090

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基金项目:

国家自然科学基金资助项目(51977127);上海市科委科技项目(19020500800);上海市人才发展资金资助项目(2018004)。


Estimation Method of System Harmonic Impedance Based on Sub-space Dynamic Coefficient Regression
Author:
Affiliation:

College of Electrical Engineering, Shanghai University of Electric Power, Shanghai 200090, China

Fund Project:

This work is supported by National Natural Science Foundation of China (No. 51977127), Science and Technology Project of Shanghai Science and Technology Commission (No. 19020500800) and Shanghai Talent Development Fund (No. 2018004).

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    摘要:

    系统谐波阻抗的准确估计是实现谐波责任定量划分的关键。新能源并网场景下用户侧谐波阻抗并非远大于系统侧谐波阻抗,现有估计方法精度降低甚至失效。文中提出一种基于子空间动态系数回归的系统谐波阻抗估计方法。通过小波包分解将公共连接点(PCC)处谐波电压与电流的观测信号分解成多个子空间,并根据互信息值筛选出解释变量相关度最弱的子空间,以降低解释变量间相关性对回归分析的影响;考虑到网侧谐波波动会干扰PCC处谐波电压与电流间的相关性,将网侧谐波电压视作动态系数,并通过动态系数回归法求解系统谐波阻抗,以降低网侧谐波电压波动对估计结果的影响。仿真分析的结果表明,相比现有方法,所提方法拥有更好的估计精度与鲁棒性。

    Abstract:

    The accurate estimation of system harmonic impedance is critical to realize the quantitative determination of harmonic responsibility. The customer side harmonic impedance is no longer much greater than that of the system side in the situation of new energy resources connecting to the grid, which results in that the existing estimation methods have low accuracy or become ineffective. This paper proposes an estimation method of system harmonic impedance based on the sub-space decomposition and the dynamic coefficient regression. The observed signals of the harmonic voltage and current at the point of common connection (PCC) are decomposed into several sub-spaces by the wavelet packet decomposition. The sub-space with the weakest correlation between the explanatory variables is selected out according to the mutual information value, which reduces the impact of the correlation between explanatory variables on the regression analysis. Considering that the system harmonic fluctuation will interfere with the correlation between the harmonic voltage and current at PCC, the system harmonic voltage is regarded as a dynamic coefficient. The system harmonic impedance is calculated by the dynamic coefficient regression method, to reduce the impact of harmonic voltage fluctuation on the estimation results. The simulation results show that the proposed method has better estimation accuracy and robustness compared with the existing methods.

    表 9 Table 9
    表 20 Table 20
    表 12 Table 12
    表 16 Table 16
    表 2 Table 2
    表 14 Table 14
    表 15 Table 15
    表 5 Table 5
    表 7 Table 7
    表 10 Table 10
    表 6 Table 6
    表 1 4种不同方法的系统侧5次谐波阻抗估计误差Table 1 Estimation errors of system-side 5th harmonic impedance with four different methods
    表 13 Table 13
    表 23 Table 23
    图1 诺顿等效电路图Fig.1 Norton equivalent circuit diagram
    图2 本文所提估计方法流程图Fig.2 Flow chart of the proposed estimation method
    图3 4种不同方法的估计误差分布图Fig.3 Distribution diagram of estimation errors of four different methods
    图4 a取不同值时谐波阻抗估计误差分析曲线Fig.4 Analysis curves for estimation errors of harmonic impedance with different values of a
    图5 r取不同值时谐波阻抗估计误差分析曲线Fig.5 Analysis curves of estimation errors of harmonic impedance with different values of r
    图 PCC处5次谐波电压与谐波电流测量结果Fig. Measurement results of 5th harmonic voltage and harmonic current at the PCC
    图 仅考虑k时阻抗实部与虚部估计结果的相对误差Fig. Relative errors of the real part and the imaginary part of the impedance considering k only
    图 4种方法谐波阻抗估计结果相对误差分布图Fig. Distribution diagram of relative errors of the estimated results of harmonic impedance
    图 a取不同值的情况下谐波阻抗估计误差分布图Fig. Distribution diagram of estimation errors of the harmonic impedance with different values of a
    图 谐波信号相关系数趋势图Fig. Related coefficient trends of harmonic signals
    图 k取不同值的情况下估计误差关于r的分布图Fig. Distribution diagram of estimation errors with respect to r with different values of k
    表 19 Table 19
    表 22 Table 22
    表 11 Table 11
    表 8 Table 8
    表 3 Table 3
    表 21 Table 21
    表 17 Table 17
    表 18 Table 18
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引用本文

林顺富,颜昕昱,戴烨敏,等.基于子空间动态系数回归的系统谐波阻抗估计方法[J/OL].电力系统自动化,http://doi.org/10.7500/AEPS20190716004.
LIN Shunfu,YAN Xinyu,DAI Yemin,et al.Estimation Method of System Harmonic Impedance Based on Sub-space Dynamic Coefficient Regression[J/OL].Automation of Electric Power Systems,http://doi.org/10.7500/AEPS20190716004.

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  • 收稿日期:2019-07-16
  • 最后修改日期:2020-04-09
  • 录用日期:2020-01-06
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