Improved Smoothing Frequency Shifting and Filtering Algorithm for Harmonic Analysis With Systematic Error Compensation

Different from the fast Fourier transform-based method, the frequency shifting and filtering (FSF) algorithm employs only a few simple operations in the time domain for harmonic analysis. However, the systematic error of FSF caused by the imperfect performance of the low-pass filter is ignored. In this paper, a novel smoothing frequency shifting and filtering (SFSF) algorithm is proposed. First, the systematic error of FSF is modeled. Then, the SFSF-based harmonic analysis with systematic error compensation is presented. Finally, the features of the SFSF are discussed. Simulation shows good agreement with the theoretical results. Results of simulations and experiment confirm that the SFSF method can perform harmonic analysis accurately.

[1]  Pierluigi Siano,et al.  A Review of Architectures and Concepts for Intelligence in Future Electric Energy Systems , 2015, IEEE Transactions on Industrial Electronics.

[2]  Siyu Guo,et al.  Harmonic Estimation Using Symmetrical Interpolation FFT Based on Triangular Self-Convolution Window , 2015, IEEE Transactions on Industrial Informatics.

[3]  D. Dallet,et al.  Influence of systematic errors on a sine wave frequency estimation by means of Interpolated DFT method , 2008, 2008 3rd International Symposium on Communications, Control and Signal Processing.

[4]  Chengcheng Li,et al.  Power System Frequency Estimation of Sine-Wave Corrupted With Noise by Windowed Three-Point Interpolated DFT , 2018, IEEE Transactions on Smart Grid.

[5]  G. M. Burt,et al.  P and M Class Phasor Measurement Unit Algorithms Using Adaptive Cascaded Filters , 2013, IEEE Transactions on Power Delivery.

[6]  Yi Zhang,et al.  Generalization of interpolation DFT algorithms and frequency estimators with high image component interference rejection , 2016, EURASIP J. Adv. Signal Process..

[7]  Ranjana Sodhi,et al.  A Novel Distribution-Level Phasor Estimation Algorithm Using Empirical Wavelet Transform , 2018, IEEE Transactions on Industrial Electronics.

[8]  Daniel Belega,et al.  Amplitude Estimation by a Multipoint Interpolated DFT Approach , 2009, IEEE Transactions on Instrumentation and Measurement.

[9]  Cheng-I Chen,et al.  Comparative Study of Harmonic and Interharmonic Estimation Methods for Stationary and Time-Varying Signals , 2014, IEEE Transactions on Industrial Electronics.

[10]  H. Lin.  Intelligent Neural Network-Based Fast Power System Harmonic Detection , 2007, IEEE Transactions on Industrial Electronics.

[11]  Sergio Vazquez,et al.  Adaptive Vectorial Filter for Grid Synchronization of Power Converters Under Unbalanced and/or Distorted Grid Conditions , 2014, IEEE Transactions on Industrial Electronics.

[12]  Fuliang Yin,et al.  A Harmonic Suppression Method Based on Fractional Lower Order Statistics for Power System , 2016, IEEE Transactions on Industrial Electronics.

[13]  Daniel Belega,et al.  Accuracy Analysis of the Multicycle Synchrophasor Estimator Provided by the Interpolated DFT Algorithm , 2013, IEEE Transactions on Instrumentation and Measurement.

[14]  José Antonio de la O. Serna,et al.  Synchrophasor Measurement With Polynomial Phase-Locked-Loop Taylor-Fourier Filters , 2015, IEEE Trans. Instrum. Meas..

[15]  Hsiung-Cheng Lin,et al.  Power Harmonics and Interharmonics Measurement Using Recursive Group-Harmonic Power Minimizing Algorithm , 2012, IEEE Transactions on Industrial Electronics.

[16]  Daniel Belega,et al.  Assessment of influence of systematic errors on the precision with which the normalized frequency of a sinusoidal signal is determined by means of a discrete fourier transformation with interpolation , 2009 .

[17]  Loi Lei Lai,et al.  Hybrid Wavelet and Hilbert Transform With Frequency-Shifting Decomposition for Power Quality Analysis , 2012, IEEE Transactions on Instrumentation and Measurement.

[18]  Yong Wang,et al.  Spectral Correction Approach Based on Desirable Sidelobe Window for Harmonic Analysis of Industrial Power System , 2013, IEEE Transactions on Industrial Electronics.

[19]  Lu Tang,et al.  FFT-Based Amplitude Estimation of Power Distribution Systems Signal Distorted by Harmonics and Noise , 2018, IEEE Transactions on Industrial Informatics.

[20]  Gerd Bumiller,et al.  Improvement of mains frequency estimation robustness towards ripple control signals , 2017, 2017 IEEE International Workshop on Applied Measurements for Power Systems (AMPS).

[21]  Zhou Chen,et al.  Frequency Shifting And Filtering Algorithm for Power System Harmonic Estimation , 2017, 2017 IEEE International Workshop on Applied Measurements for Power Systems (AMPS).

[22]  Sovan Dalai,et al.  Diagnosis of Power Quality Events Based on Detrended Fluctuation Analysis , 2018, IEEE Transactions on Industrial Electronics.

[23]  S. N. Singh,et al.  Low-Order Dominant Harmonic Estimation Using Adaptive Wavelet Neural Network , 2014, IEEE Transactions on Industrial Electronics.

[24]  Feng Zhou,et al.  Time-Domain Quasi-Synchronous Sampling Algorithm for Harmonic Analysis Based on Newton's Interpolation , 2011, IEEE Transactions on Instrumentation and Measurement.

[25]  Zhaosheng Teng,et al.  Performance Comparison of Windowed Interpolation FFT and Quasisynchronous Sampling Algorithm for Frequency Estimation , 2014 .

[26]  José Antonio de la O. Serna,et al.  Polynomial Implementation of the Taylor–Fourier Transform for Harmonic Analysis , 2014, IEEE Transactions on Instrumentation and Measurement.

[27]  Md. Shamim Reza,et al.  A Modified Demodulation Technique for Single-Phase Grid Voltage Fundamental Parameter Estimation , 2015, IEEE Transactions on Industrial Electronics.

[28]  Hilton Abílio Grundling,et al.  Kalman Filter-Based Control System for Power Quality Conditioning Devices , 2013, IEEE Transactions on Industrial Electronics.