CN106596899A - Evaluation method of random error between oil-immersed transformer on-line monitoring data and on-line detection data - Google Patents

Evaluation method of random error between oil-immersed transformer on-line monitoring data and on-line detection data Download PDF

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CN106596899A
CN106596899A CN201611047148.6A CN201611047148A CN106596899A CN 106596899 A CN106596899 A CN 106596899A CN 201611047148 A CN201611047148 A CN 201611047148A CN 106596899 A CN106596899 A CN 106596899A
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华中生
俞鸿涛
周健
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Abstract

本发明公开了一种油浸式变压器在线监测数据和带电检测数据间随机误差的评价方法,首先,分别获得在线监测数据和带电检测数据,经预处理后得到两组时间序列;其次,将两组时间序列相减得到误差序列,分解后得到多个本征模函数,符合噪声特征的本征模函数组成随机误差序列;再次,将在线监测时间序列分解得到多个本征模函数,剔除符合噪声特征的本征模函数后得到真实信号序列,并构造误差参考序列,依据公式xt=St+Nt与xt′=St+Nt′分别得到序列xt和xt′,并计算得到对应的信噪比dt与dt′;最后,根据下式得到随机误差的评价系数ρ;ρ=na/n。

The invention discloses a method for evaluating random errors between online monitoring data and electrification detection data of an oil-immersed transformer. First, the on-line monitoring data and electrification detection data are respectively obtained, and two sets of time series are obtained after preprocessing; secondly, the two The error sequence is obtained by subtracting the group time series, and multiple eigenmode functions are obtained after decomposing, and the eigenmode functions that meet the noise characteristics form a random error sequence; thirdly, the online monitoring time series is decomposed to obtain multiple eigenmode functions, and the eigenmode functions that meet the noise characteristics are eliminated. The real signal sequence is obtained after the eigenmode function of the noise feature, and the error reference sequence is constructed, and the sequence x t and x t ′ are respectively obtained according to the formula x t =S t +N t and x t ′=S t +N t ′, And calculate the corresponding signal-to-noise ratio d t and d t '; finally, according to the following formula to get the random error evaluation coefficient ρ; ρ=n a /n.

Description

油浸式变压器在线监测数据和带电检测数据间随机误差的评 价方法Evaluation of Random Error Between Online Monitoring Data and Live Detection Data of Oil-immersed Transformer price method

技术领域technical field

本发明涉及信号分析领域,具体涉及一种油浸式变压器在线监测数据和带电检测数据间随机误差的评价方法。The invention relates to the field of signal analysis, in particular to an evaluation method for random errors between on-line monitoring data and electrification detection data of an oil-immersed transformer.

背景技术Background technique

油浸式变压器的监控手段分为两种,一种是使用在线监测,即使用红外测谱仪远程在线监测设备;一种是带电检测,即专业人员到现场对变压器油进行取样检测。在线数据具有监测间隔短,成本低的优点,其数据噪声与随机误差问题往往是电力公司关注的焦点。然而,目前关于变压器在线监测数据噪声与误差估计仍属于尚未解决的技术难题,研究发展针对变压器在线监测装置随机误差评价方法具有重要价值。There are two types of monitoring methods for oil-immersed transformers. One is to use online monitoring, that is, use infrared spectrometers to remotely monitor equipment online; the other is live detection, that is, professionals go to the site to sample and test transformer oil. Online data has the advantages of short monitoring interval and low cost, but its data noise and random errors are often the focus of power companies. However, at present, the noise and error estimation of transformer online monitoring data are still unresolved technical problems, and the research and development of random error evaluation methods for transformer online monitoring devices is of great value.

变压器的在线监测数据属于非线性、非平稳的时间序列,此类数据的分析与处理十分复杂,传统方法难以适用。经济学领域常使用HP滤波的方法剔除非平稳时间序列中低频的长期趋势,进而对高频的短期随机波动进行度量(Hodrick R J,Prescott EC.Postwar U.S.Business Cycles:AnEmpirical Investigation[J].Journal of MoneyCredit&Banking,1997,29(1):1-16.);信号分析领域则更多的使用功率谱密度(即PSD法)对不同频率下的噪声功率进行分析(John L,Hadley J.Correlated errors in geodetictime series:Implications for time-dependent deformation[M]//Journal ofGeophysical Research:Solid Earth(1978–2012).1997:591–603.);这些方法对在线数据随机波动的度量有一定的作用,但其理论基础均来自时间序列的谱分析,属于频域分析方法,无法对变压器在线数据随机波动的时域特征进行准确的度量。The online monitoring data of transformers are nonlinear and non-stationary time series. The analysis and processing of such data is very complicated, and traditional methods are difficult to apply. In the field of economics, HP filtering is often used to eliminate low-frequency long-term trends in non-stationary time series, and then measure high-frequency short-term random fluctuations (Hodrick R J, Prescott EC. Postwar U.S. Business Cycles: AnEmpirical Investigation[J]. Journal of MoneyCredit&Banking, 1997,29(1):1-16.); in the field of signal analysis, power spectral density (i.e. PSD method) is more used to analyze the noise power at different frequencies (John L, Hadley J.Correlated errors in geodetictime series: Implications for time-dependent deformation[M]//Journal of Geophysical Research: Solid Earth(1978–2012).1997:591–603.); these methods have a certain effect on the measurement of random fluctuations in online data, but their The theoretical basis comes from the spectral analysis of time series, which belongs to the frequency domain analysis method, and cannot accurately measure the time domain characteristics of the random fluctuation of the transformer online data.

在现实情况下,我们更多关注在线数据的波动幅度,随机波动的幅度过大,往往会影响相关人员对变压器运行情况的判断,因此变压器在线数据随机波动的时域特征(局部可用性)是我们的主要度量目标。在信号分析领域,Fourier分析无疑是信号特征的重要分析方法,但其全局性的特点使其在处理非平稳信号及描述信号的时域特征方面存在较大局限。因此,在Fourier分析的基础上,相关学者提出了针对非平稳信号的分析方法,包括短时Fourier变换、Wigner-Ville分布、小波变换等。短时Fourier变换的基本原理是对向信号序列加入窗函数,将非平稳信号转换成间隔较短的多个平稳信号,再对窗内信号进行Fourier变换,从而获得原始信号的时变频谱,达到对不同时段的高频信号(随机噪声)进行分析的目的(Jurado F,Saenz J R.Comparison between discrete STFT and wavelets for theanalysis of power quality events[J].Electric Power Systems Research,2002,62(3):183-190.);Wigner-Ville分布则是对原始信号的协方差函数进行Fourier变换,在一定程度上解决窗函数对短时Fourier变换带来的局限性。同时,Wigner-Ville分布具有许多有用的特性,包括时移性、对称性等,能够较好的描述信号的时变特征(Martin W,FlandrinP.Wigner-Ville spectral analysis of nonstationary processes[J].IEEETransactions on Acoustics Speech&Signal Processing,1985,33(6):1461-1470.);小波变换由Donoho提出,是一种多尺度的信号分解方法,其噪声估计的过程可以概括为:(1)通过设置小波基函数对原始信号进行小波分解。(2)用第一层小波分解的中值绝对变差来估计噪声(Johnstone I M,Silverman B W.Wavelet threshold estimators for datawith correlated noise[J].Journal of the royal statistical society:series B(statistical methodology),1997,59(2):319-351.)(Donoho D L.De-noising by soft-thresholding[J].IEEE Transactions on Information Theory,1995,41(3):613-627.)。较前述方法相比,小波变换具有更好的时频特性和噪声度量指标,Donoho提出的基于小波变换的噪声估计方法是当前应用最为广泛的非线性、非平稳信号的噪声估计方法。In reality, we pay more attention to the fluctuation range of online data. If the random fluctuation range is too large, it will often affect the judgment of relevant personnel on the operation of the transformer. Therefore, the time-domain characteristics (local availability) of the random fluctuation of the online data of the transformer main measurement target. In the field of signal analysis, Fourier analysis is undoubtedly an important analysis method for signal characteristics, but its global characteristics make it relatively limited in dealing with non-stationary signals and describing the time-domain characteristics of signals. Therefore, on the basis of Fourier analysis, relevant scholars have proposed analysis methods for non-stationary signals, including short-time Fourier transform, Wigner-Ville distribution, wavelet transform, etc. The basic principle of the short-time Fourier transform is to add a window function to the signal sequence, convert the non-stationary signal into multiple stationary signals with short intervals, and then perform Fourier transform on the signal in the window, so as to obtain the time-varying spectrum of the original signal. The purpose of analyzing high-frequency signals (random noise) in different periods (Jurado F, Saenz J R. Comparison between discrete STFT and wavelets for the analysis of power quality events [J]. Electric Power Systems Research, 2002, 62 (3) :183-190.); Wigner-Ville distribution is to perform Fourier transform on the covariance function of the original signal, which solves the limitation of the window function on the short-term Fourier transform to a certain extent. At the same time, the Wigner-Ville distribution has many useful properties, including time-shift, symmetry, etc., which can better describe the time-varying characteristics of the signal (Martin W, FlandrinP. Wigner-Ville spectral analysis of nonstationary processes[J].IEEETransactions on Acoustics Speech&Signal Processing,1985,33(6):1461-1470.); wavelet transform proposed by Donoho is a multi-scale signal decomposition method, and the noise estimation process can be summarized as: (1) By setting the wavelet base The function performs wavelet decomposition on the original signal. (2) Use the median absolute variation of the first layer wavelet decomposition to estimate the noise (Johnstone I M, Silverman B W. Wavelet threshold estimators for data with correlated noise[J]. Journal of the royal statistical society: series B(statistical methodology) , 1997,59(2):319-351.) (Donoho D L. De-noising by soft-thresholding[J]. IEEE Transactions on Information Theory, 1995,41(3):613-627.). Compared with the above methods, wavelet transform has better time-frequency characteristics and noise metrics. The noise estimation method based on wavelet transform proposed by Donoho is currently the most widely used noise estimation method for nonlinear and non-stationary signals.

上述方法对传统的Fourier分析进行了改进,为非线性、非平稳信号噪声提供了科学、系统估计方法,然而,这些方法在变压器在线数据随机误差估计的情景下仍存在许多问题。一是噪声提取方面,上述方法无法实现随机噪声的自适应提取,其噪声的测度效果取决于具体参数的选取,例如,小波基函数的选择对其降噪能力影响巨大,但在实际应用中小波基函数的确定却是难以解决的问题。二是噪声估计方面,现有方法本身具有一定的时变性,但对噪声评价指标则更多的从统计性质入手,如噪声方差、中值变差、Allan方差、TheoH方差等(Allan方差与TheoH方差是一种对特定噪声的估计方法,如高斯白噪声、闪烁噪声、随机游走噪声等(Allan D W,Barnes J A.A modified"Allan variance"with increasedoscillator characterization ability[C]//Thirty Fifth Annual Frequency ControlSymposium.1981.IEEE,1981:470-475.)(McGee J A,Howe D A.TheoH and Allandeviation as power-law noise estimators[J].ieee transactions on ultrasonics,ferroelectrics,and frequency control,2007,54(2):448-452.))。这些评价指标具有全局性,无法反映在线数据的局部可用的特点。同时,这些方法主要用于精密仪器的随机误差测量,对“粗差(巨大误差)”十分敏感,而变压器在线监测装置随机误差的情况较为复杂,需要更具普适性的评价指标。The above methods improve the traditional Fourier analysis and provide a scientific and systematic estimation method for nonlinear and non-stationary signal noise. However, these methods still have many problems in the case of random error estimation of transformer online data. The first is noise extraction. The above methods cannot achieve adaptive extraction of random noise, and the noise measurement effect depends on the selection of specific parameters. For example, the selection of wavelet basis functions has a great impact on its noise reduction ability, but in practical applications The determination of basis functions is a difficult problem. The second is noise estimation. The existing methods themselves have a certain time-varying nature, but the noise evaluation indicators start with more statistical properties, such as noise variance, median variation, Allan variance, TheoH variance, etc. (Allan variance and TheoH variance) Variance is an estimation method for specific noise, such as Gaussian white noise, flicker noise, random walk noise, etc. (Allan D W, Barnes J A.A modified "Allan variance" with increased doscillator characterization ability[C]//Thirty Fifth Annual Frequency ControlSymposium .1981.IEEE,1981:470-475.)(McGee J A,Howe D A.TheoH and Allandeviation as power-law noise estimators[J].ieee transactions on ultrasonics,ferroelectrics,and frequency control,2007,54(2) :448-452.)). These evaluation indicators are global and cannot reflect the locally available characteristics of online data. At the same time, these methods are mainly used for random error measurement of precision instruments, and are very sensitive to "gross errors (huge errors)", while the situation of random errors in transformer on-line monitoring devices is more complicated, and more universal evaluation indicators are needed.

综上所述,现有方法在变压器在线数据随机误差估计的情况下作用十分有限。To sum up, the existing methods are very limited in the case of random error estimation of transformer online data.

发明内容Contents of the invention

本发明提供了一种油浸式变压器在线监测数据和带电检测数据间随机误差的评价方法,可以对变压器在线监测数据随机波动的时域特征进行准确的度量,经计算得到的随机误差的评价系数ρ可以准确描述在线监测装置的测量精度。The invention provides an evaluation method for random errors between online monitoring data of oil-immersed transformers and live detection data, which can accurately measure the time-domain characteristics of random fluctuations in online monitoring data of transformers, and obtain evaluation coefficients of random errors after calculation ρ can accurately describe the measurement accuracy of the online monitoring device.

一种油浸式变压器在线监测数据和带电检测数据间随机误差的评价方法,其特征在于,包括如下步骤:A method for evaluating random errors between on-line monitoring data and live detection data of an oil-immersed transformer, characterized in that it includes the following steps:

(1)、通过远程在线监测设备获得油浸式变压器油内特征气体的含量,记为在线监测数据;通过人工取样获得油浸式变压器油内特征气体的含量,记为在带电检测数据;分别对在线监测数据和带电检测数据进行预处理,得到时间间隔相同且时间点相互对应的在线监测特征气体含量-时间序列和带电检测特征气体含量-时间序列;(1) The content of characteristic gas in oil-immersed transformer oil is obtained through remote online monitoring equipment, which is recorded as online monitoring data; the content of characteristic gas in oil-immersed transformer oil is obtained through manual sampling, which is recorded as live detection data; Preprocessing the online monitoring data and live detection data to obtain the online monitoring characteristic gas content-time series and the live detection characteristic gas content-time series with the same time interval and corresponding time points;

(2)、将在线监测特征气体含量-时间序列与带电检测特征气体含量-时间序列相减,得到误差序列,再利用集合经验模式分解方法对误差序列进行分解得到多个本征模函数,符合噪声特征的本征模函数组成随机误差序列,记为Nt(2), subtract the online monitoring characteristic gas content-time series from the live detection characteristic gas content-time series to obtain the error sequence, and then use the ensemble empirical mode decomposition method to decompose the error sequence to obtain multiple eigenmode functions, which conform to The eigenmode function of the noise feature constitutes a random error sequence, denoted as N t ;

(3)利用集合经验模式分解方法对在线监测特征气体含量-时间序列进行分解得到多个本征模函数,剔除符合噪声特征的本征模函数后得到真实信号序列St,根据真实信号序列St及在线监测装置的精度要求构造误差参考序列Nt′;再依据公式xt=St+Nt与xt′=St+Nt′分别得到序列xt和xt′,经计算分别得到序列xt和xt′对应的信噪比d与d′;(3) Use the ensemble empirical mode decomposition method to decompose the online monitoring characteristic gas content-time series to obtain multiple eigenmode functions, and get the real signal sequence S t after removing the eigenmode functions that meet the noise characteristics. According to the real signal sequence S t and the accuracy of the on-line monitoring device requires the construction of an error reference sequence N t ′; and then according to the formulas x t =S t +N t and x t ′=S t +N t ′, the sequences x t and x t ′ are respectively obtained. After calculation Obtain the signal-to-noise ratios d and d' corresponding to the sequences x t and x t 'respectively;

(4)考虑序列xt的时域特征,利用矩形窗函数分别对xt与xt′每个时间点上的信噪比进行估算,得到dt与dt′,再根据下式(Ⅰ)得到随机误差的评价系数ρ,以此对在线监测装置的测量精度进行评价;(4) Considering the time-domain characteristics of the sequence x t , use the rectangular window function to estimate the signal-to-noise ratio at each time point of x t and x t ′, respectively, to obtain d t and d t ′, and then according to the following formula (Ⅰ ) to obtain the evaluation coefficient ρ of the random error, so as to evaluate the measurement accuracy of the online monitoring device;

ρ=na/n (Ⅰ);ρ=n a /n (I);

式中,n为在线监测特征气体含量-时间序列内时间点总数,na为随机误差小于实际需求值的时间点的数目。In the formula, n is the total number of time points in the online monitoring characteristic gas content-time series, n a is the number of time points where the random error is less than the actual demand value.

本发明中提出了更为实用的在线数据随机误差评价方案。对于噪声提取问题,我们选择了经验模式分解及其改进方法代替现有的小波变换,原因在于:(1)经验模式分解属于自适应的噪声提取方法,在信号处理之前不需要进行参数设定,特别适合对非平稳的时间序列进行特征提取(Wu Z,Huang N E.Ensemble empirical mode decomposition:anoise-assisted data analysis method[J].Advances in adaptive data analysis,2009,1(01):1-41.)(Wu Z,Huang N E,Long S R,et al.On the trend,detrending,andvariability of nonlinear and nonstationary time series[J].Proceedings of theNational Academy of Sciences,2007,104(38):14889-14894.)。(2)大量实证研究表明,经验模式分解方法在信号分解方面的效果优于小波变换(Peng Z K,Peter W T,Chu F L.Acomparison study of improved Hilbert–Huang transform and wavelet transform:application to fault diagnosis for rolling bearing[J].Mechanical systems andsignal processing,2005,19(5):974-988.)(Labate D,La Foresta F,Occhiuto G,etal.Empirical mode decomposition vs.wavelet decomposition for the extractionof respiratory signal from single-channel ECG:A comparison[J].IEEE SensorsJournal,2013,13(7):2666-2674.)(Dai W J,Ding X L,Zhu J J,et al.EMD filtermethod and its application in GPS multipath[J].Acta Geodaetica etCartographica Sinica,2006.)。因此,较现有方法相比,经验模式分解能够帮助我们更为准确的提取出变压器在线数据的随机误差;对于噪声估计问题,我们选择信噪比作为噪声的度量指标。一方面,信噪比具有更强的普适性,适用于任何形式的噪声度量。另一方面,与统计指标相比,信噪比具有真实的物理意义,能够提高模式的解释能力。同时,为了使指标具有时域特征,我们向提取出的随机误差序列加入了滑动时间窗,以窗内信号的信噪比作为该时刻随机噪声的评价指标,最大限度地体现了在线数据局部可用的特点。The present invention proposes a more practical online data random error evaluation scheme. For the noise extraction problem, we chose the empirical mode decomposition and its improved method to replace the existing wavelet transform. The reasons are: (1) The empirical mode decomposition is an adaptive noise extraction method, and no parameter setting is required before signal processing. Especially suitable for feature extraction of non-stationary time series (Wu Z, Huang N E.Ensemble empirical mode decomposition: anoise-assisted data analysis method[J].Advances in adaptive data analysis,2009,1(01):1-41 .) (Wu Z, Huang N E, Long S R, et al. On the trend, detrending, and variability of nonlinear and nonstationary time series [J]. Proceedings of the National Academy of Sciences, 2007, 104(38): 14889-14894. ). (2) A large number of empirical studies have shown that the empirical mode decomposition method is better than wavelet transform in terms of signal decomposition (Peng Z K, Peter W T, Chu F L. A comparison study of improved Hilbert–Huang transform and wavelet transform: application to fault diagnosis for rolling bearing[J].Mechanical systems and signal processing,2005,19(5):974-988.)(Labate D,La Foresta F,Occhiuto G,etal.Empirical mode decomposition vs.wavelet decomposition for the extraction of respiratory signal from single -channel ECG: A comparison[J].IEEE SensorsJournal,2013,13(7):2666-2674.)(Dai W J,Ding X L,Zhu J J,et al.EMD filtermethod and its application in GPS multipath[J]. Acta Geodaetica et Cartographica Sinica, 2006.). Therefore, compared with the existing methods, the empirical mode decomposition can help us extract the random error of the transformer online data more accurately; for the noise estimation problem, we choose the signal-to-noise ratio as the noise measurement index. On the one hand, the signal-to-noise ratio is more universal and applicable to any form of noise measurement. On the other hand, the signal-to-noise ratio has real physical meaning and can improve the interpretability of the model compared with statistical indicators. At the same time, in order to make the index have time-domain characteristics, we added a sliding time window to the extracted random error sequence, and took the signal-to-noise ratio of the signal in the window as the evaluation index of random noise at this moment, which reflected the partial availability of online data to the greatest extent. specialty.

步骤(1)中,所述的特征气体包括氢气、总烃、一氧化碳或二氧化碳,所述的总烃可以是甲烷、乙烷、乙烯、乙炔等碳氢化合物;In step (1), described characteristic gas comprises hydrogen, total hydrocarbon, carbon monoxide or carbon dioxide, and described total hydrocarbon can be hydrocarbons such as methane, ethane, ethylene, acetylene;

所述特征气体的含量为特征气体的质量浓度或体积浓度。The content of the characteristic gas is the mass concentration or volume concentration of the characteristic gas.

变压器在线监测装置的随机误差的主要用于描述在线监测装置的测量精度。随机误差的波动越强,装置的测量精度越低,稳定性越差。国家电网对在线监测装置的稳定性有着明确的要求,即在线监测装置的波动不应超过测量值的10%,对测量精度较差的监测装置应给予返厂矫正处理。The random error of the transformer online monitoring device is mainly used to describe the measurement accuracy of the online monitoring device. The stronger the fluctuation of random error, the lower the measurement accuracy and stability of the device. The State Grid has clear requirements for the stability of the online monitoring device, that is, the fluctuation of the online monitoring device should not exceed 10% of the measured value, and the monitoring device with poor measurement accuracy should be returned to the factory for correction.

在随机误差水平估计的过程中,油浸式变压器的带电检测数据具有重要的参考价值,因此,我们同样将带电检测数据作为参考序列,并对在线监测数据与带电检测数据进行数据预处理,使其成为时间间隔相同、时间点相互对应的时间序列。In the process of random error level estimation, live detection data of oil-immersed transformers has important reference value. Therefore, we also use live detection data as a reference sequence, and perform data preprocessing on online monitoring data and live detection data, so that It becomes a time series with the same time interval and time points corresponding to each other.

实际操作中,所作的预处理是以一天为时间间隔,一天内有多个数据的取平均数,没有数据的用线性插值代替。In actual operation, the preprocessing is based on one day as the time interval, and the average number of multiple data in one day is taken, and linear interpolation is used to replace the data without data.

进行完整的数据预处理后,我们将在线监测数据与带电检测数据作差,得到在线监测数据的误差序列,并对误差序列进行集合经验模式分解。集合经验模式分解方法是一种信号处理方法,其主要作用在于将原始信号序列分解为多个本征模式函数,每个本征模式函数具有平稳时间序列的特性。研究表明,经过经验模式分解的噪声的本征模式函数具有一定的统计特性。我们按照相关文献的方法,对每个从在线监测数据中分解出的本征模式函数进行了计算,将先分解出的、均值显著为0的本征模式函数作为噪声序列,从而得到了在线监测数据的随机误差序列NtAfter a complete data preprocessing, we make a difference between the online monitoring data and the live detection data to obtain the error sequence of the online monitoring data, and decompose the error sequence into an ensemble empirical model. The ensemble empirical mode decomposition method is a signal processing method, and its main function is to decompose the original signal sequence into multiple eigenmode functions, and each eigenmode function has the characteristics of a stationary time series. The research shows that the eigenmode function of noise after empirical mode decomposition has certain statistical properties. According to the method of related literature, we calculated each eigenmode function decomposed from the online monitoring data, and took the first decomposed eigenmode function with a significantly 0 mean value as the noise sequence, thus obtaining the online monitoring The random error sequence N t of the data.

利用集合经验模式分解方法对误差序列进行分解的具体方法如下:The specific method of decomposing the error sequence by using the ensemble empirical mode decomposition method is as follows:

(a)找出误差序列Nt(此处记为x(t))中的所有极大值点和所有极小值点,并将所有极大值点用一条曲线连接起来得到上包络线emax(t),再由所有极小值点得到下包络线emin(t);(a) Find all the maximum points and all the minimum points in the error sequence N t (here denoted as x(t)), and connect all the maximum points with a curve to obtain the upper envelope e max (t), and then get the lower envelope e min (t) from all the minimum points;

(b)计算上包络线emax(t)和下包络线emin(t)的平均值m(t),并计算信号Nt与m(t)的差值d(t);(b) Calculate the average value m(t) of the upper envelope e max (t) and the lower envelope e min (t), and calculate the difference d(t) between the signal N t and m(t);

(c)检验d(t)是否为本征模函数,检验标准为整个时间范围内极值点与过零点的数目最多相差一个且上下包络线的均值为零:如果d(t)是一个本征模函数,记imf(t)=d(t)为本次过程的本征模函数输出,令残差r(t)=x(t)-d(t),原始序列x(t)=r(t);如果d(t)不是本征模函数,则令x(t)=d(t);重复以上步骤直至不能再分解出本征模函数为止;从而将原始信号表示成本征模函数和残差项之和:(c) Check whether d(t) is an eigenmode function, the test standard is that the number of extreme points and zero-crossing points in the entire time range differs by at most one and the mean value of the upper and lower envelopes is zero: if d(t) is a The intrinsic modulus function, record imf(t)=d(t) as the intrinsic modulus function output of this process, let the residual r(t)=x(t)-d(t), the original sequence x(t) =r(t); if d(t) is not an eigenmode function, then let x(t)=d(t); repeat the above steps until the eigenmode function can no longer be decomposed; thus express the original signal as a cost eigen The sum of the modulo function and the residual term:

其中imf(t)表示本征模函数项,i是本征模函数的项数,N为本征模函数的总项数,r(t)表示残差项。Among them, imf(t) represents the intrinsic modulus function item, i is the number of intrinsic modulus function items, N is the total number of intrinsic modulus function items, and r(t) represents the residual term.

同时,为了更好的进行对比分析,我们利用同样的方法,对经过预处理的在线监测数据进行集合经验模式分解,将其中符合噪声统计特性的本征模式函数剔除,得到在线监测装置的真实信号序列StAt the same time, in order to conduct a better comparison and analysis, we use the same method to decompose the set empirical mode on the preprocessed online monitoring data, remove the eigenmode functions that conform to the statistical characteristics of noise, and obtain the real signal of the online monitoring device sequence S t .

为了解在线监测测装置是否符合要求,我们还构造了一个误差参考序列Nt′,将在线监测装置的精度记为ε,构造误差参考序列Nt′,Nt′=St×mt,其中,mt为振幅在-ε到ε之间的随机分配的白噪声序列。因此,我们只需要对比Nt与Nt′的波动情况,即可了解在线监测装置是否符合要求。In order to know whether the online monitoring device meets the requirements, we also construct an error reference sequence N t ′, record the accuracy of the online monitoring device as ε, construct the error reference sequence N t ′, N t ′=S t ×m t , where m t is a randomly assigned white noise sequence with amplitudes between -ε and ε. Therefore, we only need to compare the fluctuations of N t and N t ′ to know whether the online monitoring device meets the requirements.

在对比分析的过程中,我们使用信噪比对Nt与Nt′的波动水平进行量化。若已知信号序列x(t)由噪声序列n(t)和信号序列s(t)组成,则x(t)中信号与噪声的比例(信噪比,单位:dB),定义如下:During the comparative analysis, we quantified the fluctuation levels of N t and N t ′ using the signal-to-noise ratio. If the known signal sequence x(t) is composed of noise sequence n(t) and signal sequence s(t), then the signal-to-noise ratio (signal-to-noise ratio, unit: dB) in x(t) is defined as follows:

式中,Ps为信号功率,Pn为噪声功率,其计算公式分别为:In the formula, P s is the signal power, P n is the noise power, and their calculation formulas are:

式中,t代表时间序列的时间点,T代表信号序列的长度。In the formula, t represents the time point of the time series, and T represents the length of the signal sequence.

我们将xt=St+Nt与xt′=St+Nt′代入上式,得到信噪比d与d′,若d>d′说明在线监测装置随机误差波动较小,可以使用。We substitute x t =S t +N t and x t ′=S t +N t ′ into the above formula to obtain the signal-to-noise ratio d and d'. If d>d', it means that the random error fluctuation of the online monitoring device is small, which can be use.

另外,为了考察在线监测装置的局部可用性,我们引入矩形窗函数的概念,对时域范围内每个时间点上的信噪比进行估算。加入窗函数后,我们可以得到时域范围内误差序列的信噪比的分布情况。设在线监测数据随机误差序列的信噪比为dt,人工参考噪声序列的信噪比为dt′,时域范围内dt>dt′的时间点个数即为na,再代入式(Ⅰ)中即可得到随机误差的评价系数ρ。其中dt与dt′的计算方法如下:In addition, in order to investigate the local availability of online monitoring devices, we introduce the concept of rectangular window function to estimate the signal-to-noise ratio at each time point in the time domain. After adding the window function, we can get the distribution of the signal-to-noise ratio of the error sequence in the time domain. Let d t be the signal-to-noise ratio of the random error sequence of the online monitoring data, d t ′ the signal-to-noise ratio of the artificial reference noise sequence, and the number of time points when d t >d t in the time domain is n a , and then substitute The evaluation coefficient ρ of random error can be obtained from formula (I). The calculation methods of d t and d t ′ are as follows:

式中,Pst,Pnt,Pnt′计算由矩形窗函数所得,将矩形窗函数的长度记为w,则Pst,Pnt,Pnt′的计算公式分别为:In the formula, the calculation of P st , P nt , P nt ′ is obtained from the rectangular window function, and the length of the rectangular window function is recorded as w, then the calculation formulas of P st , P nt , P nt ′ are respectively:

式中,t代表时间序列的时间点,T代表信号序列的长度。In the formula, t represents the time point of the time series, and T represents the length of the signal sequence.

评价系数ρ的取值范围为[0,1],其取值越大,说明时域范围内在线装置的可用性越高;当评价系数ρ=1时,说明该在线监测装置在整个评价时间范围内的波动均符合实际需求,可用性很高。当结果为0时,说明该在线监测装置在整个评价时间范围内的波动均不符合实际需求,应予以矫正。The value range of the evaluation coefficient ρ is [0,1]. The larger the value, the higher the availability of the online device in the time domain; when the evaluation coefficient ρ=1, it means that the online monitoring device is more efficient in the entire evaluation time range. The fluctuations within are in line with actual needs, and the availability is very high. When the result is 0, it means that the fluctuation of the online monitoring device in the entire evaluation time range does not meet the actual needs and should be corrected.

与现有技术相比,本发明具有以下优点:Compared with the prior art, the present invention has the following advantages:

(1)在噪声分解方面,本发明具有自适应性,能够自动的将在线监测特征气体含量-时间序列分解为噪声序列和信号序列。(1) In terms of noise decomposition, the present invention is self-adaptive and can automatically decompose the online monitoring characteristic gas content-time series into noise series and signal series.

(2)本发明考虑误差序列的时域特征,具有动态的特性,能够对在线监测特征气体含量-时间序列的局部可用性进行估计。(2) The present invention considers the time-domain characteristics of the error sequence, has dynamic characteristics, and can estimate the local availability of the on-line monitoring characteristic gas content-time series.

附图说明Description of drawings

图1中给出了预处理后的某油浸式变压器红外摄谱仪在线监测的特征气体含量-时间曲线及带电检测的特征气体含量-时间曲线;Figure 1 shows the characteristic gas content-time curve of online monitoring of an oil-immersed transformer infrared spectrometer after pretreatment and the characteristic gas content-time curve of live detection;

图2为在实施例中的两组特征气体含量-时间序列的基础上分解得到的随机误差序列NtFig. 2 is the random error sequence N t decomposed on the basis of two groups of characteristic gas content-time series in the embodiment;

图3为在实施例中的在线监测特征气体含量-时间序列基础上分解得到的在线监测数据真实信号序列StFig. 3 is the real signal sequence S t of the on-line monitoring data decomposed on the basis of the on-line monitoring characteristic gas content-time series in the embodiment;

图4为利用4种不同的小波基函数分解出的在线监测数据的随机误差序列(左图)与真实信号序列(右图);Figure 4 shows the random error sequence (left picture) and real signal sequence (right picture) of online monitoring data decomposed by four different wavelet basis functions;

图5为利用随机误差序列(左上)和人工噪声参考序列(右上)计算得到的时域范围内信噪比对比图。Fig. 5 is a comparison diagram of signal-to-noise ratio in the time domain calculated by using the random error sequence (upper left) and the artificial noise reference sequence (upper right).

具体实施方式detailed description

下面结合具体实施例对本发明做进一步的说明,但本发明不限于下述实施例。The present invention will be further described below in conjunction with specific examples, but the present invention is not limited to the following examples.

实施例:Example:

变压器在线监测装置的随机误差的主要用于描述在线监测装置的测量精度。随机误差的波动越强,装置的测量精度越低,稳定性越差。国家电网对在线监测装置的稳定性有着明确的要求,即在线监测装置的波动不应超过测量值的10%,对测量精度较差的监测装置应给予返厂矫正处理。The random error of the transformer online monitoring device is mainly used to describe the measurement accuracy of the online monitoring device. The stronger the fluctuation of random error, the lower the measurement accuracy and stability of the device. The State Grid has clear requirements for the stability of the online monitoring device, that is, the fluctuation of the online monitoring device should not exceed 10% of the measured value, and the monitoring device with poor measurement accuracy should be returned to the factory for correction.

在随机误差水平估计的过程中,油浸式变压器的带电检测数据具有重要的参考价值,因此,我们同样将带电检测数据作为参考序列,并对在线监测数据与带电检测数据进行数据预处理,使其成为时间间隔相同、时间点相互对应的时间序列。在实际操作中,时间间隔通常取一天,对于各时间点上在线数据或带电数据缺失的问题,我们则采取线性插值的方法,对数据进行填补,使二者的时间跨度相同,时间点一一对应,预处理后的在线监测的特征气体含量-时间曲线及带电检测的特征气体含量-时间曲线如图1所示。In the process of random error level estimation, live detection data of oil-immersed transformers has important reference value. Therefore, we also use live detection data as a reference sequence, and perform data preprocessing on online monitoring data and live detection data, so that It becomes a time series with the same time interval and time points corresponding to each other. In actual operation, the time interval is usually taken as one day. For the problem of missing online data or live data at each time point, we adopt a linear interpolation method to fill in the data so that the time span of the two is the same, and the time points are one by one. Correspondingly, the characteristic gas content-time curve of on-line monitoring after pretreatment and the characteristic gas content-time curve of charging detection are shown in Fig. 1 .

进行完整的数据预处理后,我们将在线监测数据与带电检测数据作差,得到在线监测数据的误差序列,并对误差序列进行集合经验模式分解。集合经验模式分解方法是一种信号处理方法,其主要作用在于将原始信号序列分解为多个本征模式函数,每个本征模式函数具有平稳时间序列的特性。研究表明,经过经验模式分解的噪声的本征模式函数具有一定的统计特性。我们对每个从在线监测数据中分解出的本征模式函数进行了计算,将先分解出的、均值显著为0的本征模式函数作为噪声序列,从而得到了在线监测数据的随机误差序列Nt,如图2所示。After a complete data preprocessing, we make a difference between the online monitoring data and the live detection data to obtain the error sequence of the online monitoring data, and decompose the error sequence into an ensemble empirical model. The ensemble empirical mode decomposition method is a signal processing method, and its main function is to decompose the original signal sequence into multiple eigenmode functions, and each eigenmode function has the characteristics of a stationary time series. The research shows that the eigenmode function of noise after empirical mode decomposition has certain statistical properties. We calculated each eigenmode function decomposed from the online monitoring data, and took the first decomposed eigenmode function with a significantly 0 mean value as the noise sequence, thus obtaining the random error sequence N of the online monitoring data t , as shown in Figure 2.

同时,为了更好的进行对比分析,我们利用同样的方法,对经过预处理的在线监测数据进行集合经验模式分解,将其中符合噪声统计特性的本征模式函数剔除,得到在线监测装置的真实信号序列St,相应的时域分布图如图3所示。At the same time, in order to conduct a better comparison and analysis, we use the same method to decompose the set empirical mode on the preprocessed online monitoring data, remove the eigenmode functions that conform to the statistical characteristics of noise, and obtain the real signal of the online monitoring device Sequence S t , the corresponding time-domain distribution diagram is shown in Fig. 3 .

因国家电网对在线监测装置的稳定性有明确要求,即在线监测装置的波动不应超过测量值的10%,本实施例中以精度要求为10%为例,根据在线监测数据的真实信号,利用振幅在-0.1到0.1之间白噪声序列mt构造了一个人工噪声参考序列Nt′,并对实际的随机误差序列Nt与人工噪声参考序列Nt′进行了对比分析,并利用矩形窗函数计算了其信噪比在时域范围内的分布情况,矩形窗函数窗口长度设为一个月,结果如图5所示。图5中画红圈的部分代表在线数据随机误差的波动情况大于噪声参考序列,这些情况在信噪比对比图中均有较好的反映。Because the State Grid has clear requirements on the stability of the online monitoring device, that is, the fluctuation of the online monitoring device should not exceed 10% of the measured value. In this embodiment, the accuracy requirement is 10% as an example. According to the real signal of the online monitoring data, An artificial noise reference sequence N t ′ was constructed by using the white noise sequence m t with an amplitude between -0.1 and 0.1, and a comparative analysis was made between the actual random error sequence N t and the artificial noise reference sequence N t ′, and the rectangular The window function calculates the distribution of the signal-to-noise ratio in the time domain. The window length of the rectangular window function is set to one month. The result is shown in Figure 5. The part circled in red in Figure 5 represents that the fluctuation of the random error of the online data is greater than that of the noise reference sequence, and these situations are well reflected in the SNR comparison graph.

本实施例中,为说明集合经验分解方法在噪声提取方面的优势,我们按照同样的步骤,利用小波变换及4种不同的小波基函数对该变压器在线监测数据的噪声与真实信号进行了分离提取,分别得到四组在线监测数据的随机误差序列(左图)与真实信号序列(右图),如图4所示,可以发现,不同的小波基函数对噪声提取与信号分解具有重要影响,小波基函数难以确定的问题是该方法难以应用于实际的关键。In this example, in order to illustrate the advantages of the ensemble empirical decomposition method in noise extraction, we follow the same steps and use wavelet transform and four different wavelet basis functions to separate and extract the noise and real signals of the online monitoring data of the transformer , respectively get the random error sequence (left picture) and the real signal sequence (right picture) of four groups of online monitoring data, as shown in Figure 4, it can be found that different wavelet basis functions have an important impact on noise extraction and signal decomposition, wavelet The difficulty of determining the basis function is the key to the practical application of this method.

Claims (9)

1. between a kind of oil-filled transformer online monitoring data and live detection data random error evaluation methodology, its feature exists In comprising the steps:
(1) content of characteristic gas in oil-filled transformer oil, is obtained by remote online monitoring equipment, is designated as monitoring number on-line According to;The content of characteristic gas in oil-filled transformer oil is obtained by manual sampling, is designated as in live detection data;Respectively to Line Monitoring Data and live detection data carry out pretreatment, obtain that time interval is identical and time point mutually corresponding on-line monitoring Characteristic gas content-time serieses and live detection characteristic gas content-time serieses;
(2), on-line monitoring characteristic gas content-time serieses and live detection characteristic gas content-time serieses are subtracted each other, is obtained To error sequence, recycle set ensemble empirical mode decomposition method that decomposition is carried out to error sequence and obtain multiple intrinsic mode functions, accord with The intrinsic mode functions composition random error series of noise characteristic are closed, N is designated ast
(3) decomposition is carried out to on-line monitoring characteristic gas content-time serieses using set ensemble empirical mode decomposition method and obtains many Individual intrinsic mode functions, to reject and obtain authentic signal sequence S after the intrinsic mode functions for meeting noise characteristict, according to actual signal sequence Row StAnd the required precision instrument error reference sequences N of on-Line Monitor Devicet′;Again according to formula xt=St+NtWith xt'=St+Nt′ Respectively obtain sequence xtAnd xt', it is computed respectively obtaining sequence xtAnd xt' corresponding signal to noise ratio d and d ';
(4) sequence x is consideredtTemporal signatures, using rectangular window function respectively to xtWith xtSignal to noise ratio on ' each time point is entered Row estimation, obtains dtWith dt', the evaluation coefficient ρ of random error is obtained further according to lower formula I, with this survey to on-Line Monitor Device Accuracy of measurement is evaluated;
ρ=na/n (Ⅰ);
In formula, n is time point sum in on-line monitoring characteristic gas content-time serieses, naActual demand is less than for random error The number of the time point of value.
2. random error is commented between oil-filled transformer online monitoring data according to claim 1 and live detection data Valency method, it is characterised in that in step (1), described characteristic gas include hydrogen, methane, ethane, ethylene, acetylene, an oxidation Carbon or carbon dioxide;
The content of the characteristic gas is characterized the mass concentration or volumetric concentration of gas.
3. random error is commented between oil-filled transformer online monitoring data according to claim 1 and live detection data Valency method, it is characterised in that in step (1), described pretreatment is:
With one day as time interval, there is taking the mean for multiple data in one day, being replaced with linear interpolation without data.
4. random error is commented between oil-filled transformer online monitoring data according to claim 1 and live detection data Valency method, it is characterised in that in step (2), using set ensemble empirical mode decomposition method error sequence is decomposed it is concrete Method is as follows:
(a) error identifying sequence NtAll maximum points and all minimum points in (being designated as x (t) herein), and will be all very big Value o'clock is coupled together with a curve and obtains coenvelope line emax(t), then obtain lower envelope line e by all minimum pointsmin(t);
B () calculates coenvelope line emax(t) and lower envelope line eminMeansigma methodss m (t) of (t), and signal calculated NtWith the difference of m (t) d(t);
C whether () inspection d (t) be intrinsic mode functions, and touchstone is the number of extreme point and zero crossing in whole time range The average of at most difference one and upper and lower envelope is zero:If d (t) is an intrinsic mode functions, note imf (t)=d (t) is The intrinsic mode functions output of this process, makes residual error r (t)=x (t)-d (t), original series x (t)=r (t);If d (t) is not It is intrinsic mode functions, then makes x (t)=d (t);Repetition above step till it can not decomposite intrinsic mode functions again;So as to incite somebody to action Primary signal is expressed as intrinsic mode functions and residual error item sum:
x ( t ) = Σ i = 1 N imf i ( t ) + r ( t ) ;
Wherein imf (t) represents intrinsic mode functions item, and i is the item number of intrinsic mode functions, N for intrinsic mode functions total item, r (t) Represent residual error item.
5. random error is commented between oil-filled transformer online monitoring data according to claim 1 and live detection data Valency method, it is characterised in that in step (2), it is significantly 0 that the specific features for meeting noise are the averages of intrinsic mode functions.
6. random error is commented between oil-filled transformer online monitoring data according to claim 1 and live detection data Valency method, it is characterised in that in step (3), error reference sequences Nt' building method it is as follows:
The precision of on-Line Monitor Device is designated as into ε, instrument error reference sequences Nt', Nt'=St×mt, wherein, mtIt is amplitude in-ε To the white noise sequence being randomly assigned between ε.
7. random error is commented between oil-filled transformer online monitoring data according to claim 1 and live detection data Valency method, it is characterised in that in step (3), the computational methods such as following formula (II -1) of signal to noise ratio d:
d = 10 log ( P s P n ) - - - ( I I - 1 ) ;
In formula, PsFor signal power, PnFor noise power, its computing formula is respectively:
P s = 1 T Σ t = 1 T S t 2 , P n = 1 T Σ t = 1 T N t 2 ;
In formula, t represents seasonal effect in time series time point, the length of T representation signal sequences;
The computational methods of signal to noise ratio d ' such as following formula (II -2):
d ′ = 10 log ( P s P n ′ ) - - - ( I I - 2 ) ;
In formula, Pn' also it is noise power, its computing formula is:
P n ′ = 1 T Σ t = 1 T N t ′ 2 .
8. random error is commented between oil-filled transformer online monitoring data according to claim 1 and live detection data Valency method, it is characterised in that in step (4), dtWith dt' computational methods it is as follows:
d t = 10 l o g ( P s t P n t ) - - - ( I I - 3 ) ;
d t ′ = 10 l o g ( P s t P n t ′ ) - - - ( I I - 4 ) ;
In formula, Pst, Pnt, Pnt' calculate by rectangular window function gained, the length of rectangular window function is designated as into w, then Pst, Pnt, Pnt′ Computing formula be respectively:
P s t = 1 w Σ t t + w S t 2 , t = 1 , 2 ... T - w
P n t = 1 w Σ t t + w N t 2 , t = 1 , 2 ... T - w
P n t ′ = 1 w Σ t t + w N t ′ 2 , t = 1 , 2 ... T - w
In formula, t represents seasonal effect in time series time point, the length of T representation signal sequences.
9. random error is commented between oil-filled transformer online monitoring data according to claim 8 and live detection data Valency method, it is characterised in that meet dt>dt' time point think random error less than actual demand value time point, number It is designated as na
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