A Controlled Filtering Method for Estimating Harmonics of Off-Nominal Frequencies

The increasing use of power electronics in power systems causes a high injection of harmonic components which can in turn interfere with utility equipment and customer loads. Therefore, the correct estimation and measurement of harmonics have become an important issue. If the power frequency of the signal is steady and near the nominal value, the discrete Fourier transform (DFT) can be used and good estimation performance is achieved. However, there are considerable power frequency variations on isolated systems such as shipboard power systems, micro-grids and smart-grids. When these variations occur there may be significant errors in the estimates using the DFT. In order to deal with this problem, this work presents a novel technique based on demodulation of the power line signal and subsequent filtering for harmonics estimation. The main features of the proposed harmonic estimation technique are: precise and accurate estimation of harmonics of off-nominal frequencies and fast estimation of harmonics (about two cycles of the fundamental component). Simulation results show that the proposed technique performs well in comparison with the DFT and can be a good candidate to replace it in cases where the power frequency is subject to considerable variations.

[1]  James S. Thorp,et al.  Computer Relaying for Power Systems , 2009 .

[2]  M. Karimi-Ghartemani,et al.  Robust and frequency-adaptive measurement of peak value , 2004, IEEE Transactions on Power Delivery.

[3]  S. Liu,et al.  An adaptive Kalman filter for dynamic estimation of harmonic signals , 1998, 8th International Conference on Harmonics and Quality of Power. Proceedings (Cat. No.98EX227).

[4]  Paulo F. Ribeiro,et al.  Time-varying harmonics. I. Characterizing measured data , 1998 .

[5]  Paulo F. Ribeiro Time-Varying Waveform Distortions in Power Systems , 2009 .

[6]  C. W. Farrow,et al.  A continuously variable digital delay element , 1988, 1988., IEEE International Symposium on Circuits and Systems.

[7]  M.R. Iravani,et al.  Measurement of harmonics/inter-harmonics of time-varying frequencies , 2005, IEEE Transactions on Power Delivery.

[8]  Petar M. Djuric,et al.  Instantaneous phase tracking in power networks by demodulation , 1992 .

[9]  Alan V. Oppenheim,et al.  Discrete-time signal processing (2nd ed.) , 1999 .

[10]  Jos Arrillaga,et al.  Harmonics in large systems , 2003 .

[11]  G. H. Allen,et al.  A new filter-bank configuration for harmonic measurement , 1996 .

[12]  Eduardo A. B. da Silva,et al.  Digital Signal Processing: System Analysis and Design , 2002 .

[13]  J. Thorp,et al.  Real Time Voltage-Phasor Measurements for Static State Estimation , 1985, IEEE Power Engineering Review.

[14]  M. Masoum,et al.  Derating of Asymmetric Three-Phase Transformers Serving Unbalanced Nonlinear Loads , 2008, IEEE Transactions on Power Delivery.

[15]  Loi Lei Lai,et al.  Real-time frequency and harmonic evaluation using artificial neural networks , 1999 .

[16]  J.J. Tomic,et al.  A New Power System Digital Harmonic Analyzer , 2007, IEEE Transactions on Power Delivery.

[17]  Cheng-I Chen,et al.  Measurement techniques for stationary and time-varying harmonics , 2010, IEEE PES General Meeting.

[18]  Wang Jianze,et al.  Time-varying transient harmonics measurement based on wavelet transform , 1998, POWERCON '98. 1998 International Conference on Power System Technology. Proceedings (Cat. No.98EX151).

[19]  M. Akke Frequency Estimation by Demodulation of No Complex Signals , 1997, IEEE Power Engineering Review.

[20]  H A Toliyat,et al.  Impacts of Hysteresis and Magnetic Couplings on the Stability Domain of Ferroresonance in Asymmetric Three-Phase Three-Leg Transformers , 2011, IEEE Transactions on Energy Conversion.

[21]  P.F. Ribeiro,et al.  A PLL-Based Multirate Structure for Time-Varying Power Systems Harmonic/Interharmonic Estimation , 2009, IEEE Transactions on Power Delivery.

[22]  Boualem Boashash,et al.  Estimating and interpreting the instantaneous frequency of a signal. I. Fundamentals , 1992, Proc. IEEE.

[23]  Darlan A. Fernandes,et al.  Harmonic Analysis Based on Kalman Filtering and Prony's Method , 2007, 2007 International Conference on Power Engineering, Energy and Electrical Drives.

[24]  R. Chudamani,et al.  Real-Time Estimation of Power System Frequency Using Nonlinear Least Squares , 2009, IEEE Transactions on Power Delivery.

[25]  Hirofumi Akagi,et al.  New trends in active filters for power conditioning , 1996 .

[26]  Wang Jianze,et al.  New method for transient harmonics measurement based on wavelet transform , 1998, IECON '98. Proceedings of the 24th Annual Conference of the IEEE Industrial Electronics Society (Cat. No.98CH36200).

[27]  Aurobinda Routray,et al.  Harmonic estimation in a power system using adaptive perceptrons , 1996 .

[28]  I. Kamwa,et al.  Performance of demodulation-based frequency measurement algorithms used in typical PMUs , 2004, IEEE Transactions on Power Delivery.

[29]  P. Djurić,et al.  Frequency tracking in power networks in the presence of harmonics , 1993 .