Power Harmonics and Interharmonics Measurement Using Recursive Group-Harmonic Power Minimizing Algorithm

The discrete Fourier transform (DFT) is still a widely used tool for analyzing and measuring both stationary and transient signals in power system harmonics. However, the misapplications of the DFT can lead to incorrect results caused by some problems such as an aliasing effect, spectral leakage, and picket-fence effect. A strategy of recursive group-harmonic power minimizing algorithm is developed for systemwide harmonic/interharmonic evaluation in power systems. The proposed algorithm can restore the dispersing spectral leakage energy caused by the DFT and regain its harmonic/interharmonic magnitude and respective frequency. Every iteration loop for harmonic/interharmonic evaluation can guarantee to be convergent using the proposed group-harmonic bin power algorithm. Consequently, not only high precision in integer harmonic measurement can be retained but also the interharmonics can be accurately identified, particularly under system frequency drift. The numerical example is presented to verify the proposed algorithm in terms of robust, fast, and precise performance.

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

[2]  G. Chang,et al.  Measuring power system harmonics and interharmonics by an improved fast Fourier transform-based algorithm , 2008 .

[3]  Jorge Pontt,et al.  Real-time interharmonics detection and measurement based on FFT algorithm , 2009, 2009 Applied Electronics.

[4]  Hsiung Cheng Lin Intelligent neural-network-based adaptive power-line conditioner for real-time harmonics filtering , 2004 .

[5]  Hsiung-Cheng Lin Fast Tracking of Time-Varying Power System Frequency and Harmonics Using Iterative-Loop Approaching Algorithm , 2007, IEEE Transactions on Industrial Electronics.

[6]  R. P. Stratford,et al.  Reactive Compensation and Harmonic Suppression for Industrial Power Systems Using Thyristor Converters , 1976, IEEE Transactions on Industry Applications.

[7]  A. Girgis,et al.  A digital recursive measurement scheme for online tracking of power system harmonics , 1991 .

[8]  Zhenhuan Zhang,et al.  A Precise and Adaptive Algorithm for Interharmonics Measurement Based on Iterative DFT , 2008, IEEE Transactions on Power Delivery.

[9]  Li Ran,et al.  Torsional Resonance Risk Management in Islanded Industrial Power Systems Supplying Large VFDs , 2007, 2007 IEEE Industry Applications Annual Meeting.

[10]  C. S. Moo,et al.  Group-harmonic identification in power systems with nonstationary waveforms , 1995 .

[11]  Gary W. Chang,et al.  A two-stage ADALINE for harmonics and interharmonics measurement , 2010, 2010 5th IEEE Conference on Industrial Electronics and Applications.

[12]  V. Singhvi,et al.  Limits for Interharmonics in the 1–100-Hz Range Based on Lamp Flicker Considerations , 2007, IEEE Transactions on Power Delivery.

[13]  M. Chindris,et al.  Interharmonics analysis using Fourier Transform and virtual instrumentation , 2009, 2009 10th International Conference on Electrical Power Quality and Utilisation.

[14]  Caixin Sun,et al.  Characterizing Voltage Fluctuations Caused by a Pair of Interharmonics , 2008, IEEE Transactions on Power Delivery.

[15]  Alan V. Oppenheim,et al.  Discrete-Time Signal Pro-cessing , 1989 .

[16]  A. Testa,et al.  Interharmonics part 2: Aspect related to Measurement and Limits , 2003 .

[17]  Predrag B. Petrovic,et al.  Digital Processing of Synchronously Sampled AC Signals in the Presence of Interharmonics and Subharmonics , 2007, IEEE Transactions on Instrumentation and Measurement.

[18]  J. E. Glynn,et al.  Numerical Recipes: The Art of Scientific Computing , 1989 .

[19]  Kit Po Wong,et al.  Wavelet-transform-based algorithm for harmonic analysis of power system waveforms , 1999 .

[20]  M. Bettayeb,et al.  Recursive estimation of power system harmonics , 1998 .

[21]  R. Zhao,et al.  Interharmonics Analysis Based on Interpolating Windowed FFT Algorithm , 2007, IEEE Transactions on Power Delivery.

[22]  T. H. Ortmeyer,et al.  Evaluation of current interharmonics from AC drives , 2000 .

[23]  A.A. Ghatol,et al.  Survey of interharmonics in Indian power system network , 2007, 2007 International Power Engineering Conference (IPEC 2007).

[24]  Gary W. Chang,et al.  Virtual Instrumentation and Educational Platform for Time-Varying Harmonic and Interharmonic Detection , 2010, IEEE Transactions on Industrial Electronics.

[25]  J. Drapela A time domain based flickermeter with response to high frequency interharmonics , 2008, 2008 13th International Conference on Harmonics and Quality of Power.

[26]  M.E. El-Hawary,et al.  Effects of harmonic distortion on the active and reactive power measurements in the time domain: a single phase system , 2001, 2001 IEEE Porto Power Tech Proceedings (Cat. No.01EX502).

[27]  Edward J. Powers,et al.  Detection of Flicker Caused by Interharmonics , 2009, IEEE Transactions on Instrumentation and Measurement.

[28]  R.D. Argent,et al.  Power factor correction and harmonic mitigation in a thyristor controlled glass melter , 1988, Conference Record of the 1988 IEEE Industry Applications Society Annual Meeting.

[29]  Jorge Pontt,et al.  Interharmonics Power Losses Estimation in Power Transformer fed High Power Cycloconverter Drive , 2008, 2008 IEEE Industry Applications Society Annual Meeting.

[30]  William H. Press,et al.  Numerical recipes in C. The art of scientific computing , 1987 .

[31]  Jing Li,et al.  Interharmonics monitoring of power network using modified covariance arithmetic and virtual instrument , 2009, 2009 9th International Conference on Electronic Measurement & Instruments.

[32]  T. T. Nguyen Parametric harmonic analysis , 1997 .

[33]  P.B. Petrovic Calculation of Measurements Uncertainties in Case of Asynchronous Sampling of Complex AC Signals , 2008, 2008 IEEE Instrumentation and Measurement Technology Conference.

[34]  G. Wiczynski Standard measurement of interharmonics in a power supply system while evaluating obnoxiousness of a flicker , 2008, 2008 13th International Conference on Harmonics and Quality of Power.

[35]  A. Al-Kandari,et al.  Time domain modeling and identification of nonlinear loads using discrete time-filtering estimator , 2003, 2003 IEEE PES Transmission and Distribution Conference and Exposition (IEEE Cat. No.03CH37495).

[36]  M.H.J. Bollen,et al.  Estimating Interharmonics by Using Sliding-Window ESPRIT , 2008, IEEE Transactions on Power Delivery.

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

[38]  Taekhyun Kim,et al.  Detection of Flicker Caused by High-frequency Interharmonics , 2007, 2007 IEEE Instrumentation & Measurement Technology Conference IMTC 2007.

[39]  G.W. Chang,et al.  A Modified Algorithm for Harmonics and Interharmonics Measurement , 2007, 2007 IEEE Power Engineering Society General Meeting.

[40]  C. S. Lee,et al.  Enhanced FFT-based parametric algorithm for simultaneous multiple harmonics analysis , 2001 .

[41]  A.G. Exposito,et al.  Self-tuning of Kalman filters for harmonic computation , 2006, IEEE Transactions on Power Delivery.

[42]  P. Lehn,et al.  Interharmonics: Theory and Modeling , 2007, IEEE Transactions on Power Delivery.

[43]  J. Barros,et al.  Simultaneous measurement of harmonics, interharmonics and flicker in a power system for power quality analysis , 2002 .

[44]  T. Zhu Exact Harmonics/Interharmonics Calculation Using Adaptive Window Width , 2007, IEEE Transactions on Power Delivery.