噪声影响下的高准确度介损角测量方法研究
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摘要
基于FFT的介损角检测方法易于硬件实现,但其准确度受频谱泄漏和噪声的影响较大。为此,提出了一种基于Black-man自卷积窗的高准确度介损角检测算法,建立了噪声影响下介损角检测结果的统计描述模型。首先采用Blackman自卷积窗对噪声影响下的畸变信号进行加权,其次利用离散频谱对称插值算法计算基波相位角,然后根据电压与电流基波相位差实现介损角检测,最后根据测量不确定度传播原理,推导了噪声对介损角检测准确度的统计模型,并通过仿真和实际检测2验证了本文算法和统计模型的正确性和可行性。
FFT-based dielectric loss angle measurement methods can be realized easily,however its accuracy is influenced greatly by spectral leakage and noise.This paper presents a high-accuracy dielectric loss angle measurement method based on the Blackman self-convolution window(BSCW),and establishes the dielectric loss measurement result statistical model considering noise.Firstly,the distorted voltage and current signals are weighted using the BSCW.Then,the fundamental phases of the voltage and current signals are calculated with the discrete spectral symmetric interpolation algorithm,and the dielectric loss angle is obtained according to the phase difference between the voltage and current fundamental phases.Finally,the statistical model of the effect of noise on dielectric loss angle measurement accuracy is deduced according to the uncertainty propagation theory.Simulation and laboratory measurement were carried out,and the results verify the effectiveness and practicability of the proposed method and the statistical model.
FFT-based dielectric loss angle measurement methods can be realized easily,however its accuracy is influenced greatly by spectral leakage and noise.This paper presents a high-accuracy dielectric loss angle measurement method based on the Blackman self-convolution window(BSCW),and establishes the dielectric loss measurement result statistical model considering noise.Firstly,the distorted voltage and current signals are weighted using the BSCW.Then,the fundamental phases of the voltage and current signals are calculated with the discrete spectral symmetric interpolation algorithm,and the dielectric loss angle is obtained according to the phase difference between the voltage and current fundamental phases.Finally,the statistical model of the effect of noise on dielectric loss angle measurement accuracy is deduced according to the uncertainty propagation theory.Simulation and laboratory measurement were carried out,and the results verify the effectiveness and practicability of the proposed method and the statistical model.
引文
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[21]郭金龙,黎恒,何明健,等.基于交替采样的频谱分析模块设计[J].国外电子测量技术,2012,31(3):48-50.GUO J L,LI H,HE M J,et al.Design of spectrum analy-zer based on time-interleaving technology[J].Foreign E-lectronic Measurement Technology,2012,31(3):48-50.
[2]YU X L,YI B,LIU F,et al.Prediction of the dielectricdissipation factor tanδof polymers with an ANN modelbased on the DFT calculation[J].Reactive and Function-al Polymers,2008,68(11):1557-1562.
[3]万全,高云鹏,罗志坤,等.基于Nuttall窗频谱校正的介质损耗因数测量[J].仪器仪表学报,2010,31(1):15-20.WAN Q,GAO Y P,LUO ZH K,et al.Dielectric loss fac-tor measurement based on Nuttall window spectral correc-tion[J].Chinese Journal of Scientific Instrument,2010,31(1):15-20.
[4]黄海宏,陈伟,王海欣.多直流支路接地检测方法的研究[J].电子测量与仪器学报,2011,25(9):793-798.HUANG H H,CHEN W,WANG H X.Study of detectingmethod for several branches grounding[J].Journal of Elec-tronic Measurement and Instrument,2011,25(9):793-798.
[5]温和,滕召胜,王一,等.基于三角自卷积窗的介损角高精度测量算法[J].电工技术学报,2009,24(3):203-208,215.WEN H,TENG ZH SH,WANG Y,et al.High accuracydielectric loss angle measurement algorithm based on Tri-angular self-convolution window[J].Transactions of Chi-na Electrotechnical Society,2009,24(3):203-208,215.
[6]徐志钮,赵丽娟,律方成,等.傅里叶算法测量介质损耗的误差分析与应用[J].电网技术,2011,35(12):124-129.XU ZH N,ZHAO L J,LV F CH,et al.Error analysis on die-lectric loss measurement by Fourier algorithm and its appli-cation[J].Power System Technology,2011,35(12):124-129.
[7]李天云,袁明哲,蔡国伟,等.基于随机子空间和最小二乘法的介质损耗角检测方法[J].高电压技术,2011,37(4):828-833.LI T Y,YUAN M ZH,CAI G W,et al.Measurement algo-rithm of dielectric loss angle based on SSI-LS[J].HighVoltage Engineering,2011,37(4):828-833.
[8]梁原华,林海军,张浩,等.数模混合最优相关滤波在介损在线测量中的应用[J].仪器仪表学报,2006,27(2):111-114.LIANG Y H,LIN H J,ZHANG H,et al.The applicationof digital-analog multiplication optimization filter in die-lectric loss measurement[J].Chinese Journal of ScientificInstrument,2006,27(2):111-114.
[9]徐志钮,律方成,李和明.加Blackman-Harris窗插值算法仿真介损角测量[J].高电压技术,2007,33(3):104-108.XU ZH N,LV F CH,LI H M.Simulation analysis of die-lectric loss angle measured by the Blackman-Harris win-dow interpolation algorithm[J].High Voltage Engineer-ing,2007,33(3):104-108.
[10]WEN H,TENG ZH SH,WANG Y,et al.Simple interpola-ted FFT algorithm based on minimize sidelobe windowsfor power-harmonic analysis[J].IEEE Transactions onPower Electronics,2011,26(9):2570-2579.
[11]FERRERO A,SALICONE S,TOSCANI S.A fast,simpli-fied frequency-domain interpolation method for the evalu-ation of the frequency and amplitude of spectral compo-nents[J].IEEE Transactions on Instrumentation andMeasurement,2011,60(5):1579-1587.
[12]温和,滕召胜,王永,等.频谱泄漏抑制与改进介损角测量算法研究[J].仪器仪表学报,2011,32(9):2087-2094.WEN H,TENG ZH SH,WANG Y,et al.Study on sup-pression of spectral leakage and improved dielectric lossangle measurement method[J].Chinese Journal of Scien-tific Instrument,2011,32(9):2087-2094.
[13]ZENG B,TENG ZH SH.Parameter estimation of powersystem signals based on cosine self-convolution windowwith desirable side-lobe behaviors[J].IEEE Transactionson Power Delivery,2011,26(1):250-257.
[14]BELEGA D,DALLET D.Multifrequency signal analysisby Interpolated DFT method with maximum sidelobe de-cay windows[J].Measurement,2009,42(3):420-426.
[15]BELEGA D,DALLET D,PETRI D.Statistical descriptionof the sine-wave frequency estimator provided by the in-terpolated DFT method[J].Measurement,2012,45(1):109-117.
[16]沈艳芳,陈丽花,陈星,等.基于FPGA的全相位FFT高精度相位测量[J].电子测量技术,2011,34(8):52-55.SHEN Y F,CHEN L H,CHEN X,et al.High-precisionphase detection with apFFT based on FPGA[J].Electron-ic Measurement Technology,2011,34(8):52-55.
[17]侯庆文,陈先中,王小攀,等.改进的FMCW信号加权补偿校正相位差法[J].仪器仪表学报,2010,31(4):721-726.HOU Q W,CHEN X ZH,WANG X P,et al.Improvedphase-difference algorithm with weighted compensationand correction for FMCW signal[J].Chinese Journal ofScientific Instrument,2010,31(4):721-726.
[18]YOUNSI K,NETI P,SHAH M,et al.On-line capaci-tance and dissipation factor monitoring of AC stator in-sulation[J].IEEE Transactions on Dielectrics andElectrical Insulation,2010,17(5):1441-1452.
[19]KYRIAZIS G A.Calibration of high-voltage current-compa-rator-based capacitance and dissipation factor bridges usingnonsynchronous sampling[J].IEEE Transactions on Instru-mentation and Measurement,2009,58(4):1029-1034.
[20]CONTIN A,ZHU H.Partial discharge influence on dissi-pation factor values during stator-bar testing[J].IEEEElectrical Insulation Magazine,2011,27(6):8-14.
[21]郭金龙,黎恒,何明健,等.基于交替采样的频谱分析模块设计[J].国外电子测量技术,2012,31(3):48-50.GUO J L,LI H,HE M J,et al.Design of spectrum analy-zer based on time-interleaving technology[J].Foreign E-lectronic Measurement Technology,2012,31(3):48-50.