Power System Frequency Estimation Algorithm for Electric Energy Metering of Nonlinear Loads

Journal title

Metrology and Measurement Systems




No 2



frequency estimation ; power systems ; wavelet transforms

Divisions of PAS

Nauki Techniczne




Polish Academy of Sciences Committee on Metrology and Scientific Instrumentation




Artykuły / Articles


DOI: 10.2478/v10178-012-0026-7 ; ISSN 0860-8229


Metrology and Measurement Systems; 2012; No 2; 307-320


IEEE Std. 1459-2000. (2000). Definitions for the Measurement of Electric Quantities Under Sinusoidal, Non-sinusoidal, Balanced, or Unbalanced Conditions. The Institute of Electrical and Electronics Engineers, Inc., New York. ; Svensson, S. (1999). Power measurement techniques for non-sinusoidal conditions. <i>PhD thesis.</i> Chalmers University, Sweden. ; IEEE Task Force on Harmonics Modeling and Simulation (2007). Inter-harmonics: Theory and Modeling. <i>IEEE Trans. Power Del.</i>, 22(4), 2335-2348. ; Bellido R. (1997), Identification and modeling of a three phase arc furnace for voltage disturbance simulation, IEEE Trans. Power Del, 12, 4, 1812, ; Ribeiro P. (2009), Time-Varying Waveform Distortions in Power Systems, ; Ashton P. (1990), Measurements of transient electrical noise on low voltage distribution systems, null, 1740. ; Miroslav M. (1993), Frequency Tracking in Power Networks in the Presence of Harmonics, IEEE Trans. Power Del, 8, 2, 480, ; Giray M. (1989), Off-nominal frequency measurements in electric power systems, IEEE Trans. Power Del, 4, 3, 1573, ; Girgis A. (1990), Adaptive Estimation of Power Frequency Deviation and Its Rate of Change for Calculating Sudden Power System Overloads, IEEE Trans. Power Del, 5, 2, 585, ; Dash P. (2000), An Extended Complex Kalman Filter for Frequency Measurement of Distorted Signals, IEEE Trans. Instrum. Meas, 49, 4, 746, ; Huang C.-H. (2010), A Robust Technique for Frequency Estimation of Distorted Signals in Power Systems, IEEE Trans. Instrum. Meas, 59, 8, 2026, ; Phadke A. (1983), A new measurement technique for tracking voltage phasors, local system frequency, and rate of change of frequency, IEEE Trans. Power App. Syst, PAS-102, 5, 1025, ; Yang R. (2008), A novel Algorithm for Accurate Frequency Measurement using Transformed Consecutive Points of DFT, IEEE Trans. Power Syst, 23, 3, 1057, ; Lobos T. (1997), Real-time determination of power system frequency, IEEE Trans. Instrum. Meas, 46, 4, 877, ; Zygarlicki J. (2012), Variable-frequency Prony method in the analysis of electrical power quality, Metrol. Meas. Syst, 19, 1, 39, ; Szafran J. (1998), Power system frequency estimation, IEE proc.-Gener. Transm. Distrib, 145, 5, 578, ; Pradhan A. (2005), Power System Frequency Estimation Using Least Mean Square Technique, IEEE Trans. Power Deliv, 20, 3, 1812, ; Houshang K. (2004), Estimation of Frequency and its Rate of Change for Applications in Power Systems, IEEE Trans. Power Deliv, 19, 2, 472, ; Mohsen M. (2007), Estimation of Power System Frequency Using an Adaptive Notch Filter, IEEE Trans. Power Deliv, 56, 6, 2470. ; Ali A. (2011), Frequency Estimation: A Least-Squares New Approach, IEEE Trans. Power Deliv, 26, 2, 790, ; Djuric P. (1992), Instantaneous Phase Tracking in Power Networks by Demodulation, IEEE Trans. Instrum. Meas, 41, 6, 963, ; D'Apuzzo M. (2008), A Time-Domain Approach for the Analysis of Nonstationary Signals in Power Systems, IEEE Trans. Instrum. Meas, 57, 9, 1969, ; Barbosa D. (2010), Digital frequency relaying based on the modified least mean square method, Int. J. Electr. Power Energ. Syst, 32, 11, 236, ; Rawat T. (2008), A continuous-time least mean-phase adaptive filter for power system, Int. J. Electr. Power Energ. Syst, ; Ardeleanu A. (2011), Real time PC implementation of power quality monitoring system based on multiharmonic least-squares fitting, Metrol. Meas. Syst, 18, 4, 543, ; Ramos P. (2009), Comparison of frequency estimation algorithms for power quality assessment, Measurement, 42, 1312, ; Bollen M. (2006), Signal Processing of Power Quality Disturbances, ; Kirby, B. J., Dyer, J., Martinez, C., Shoureshi, R. A., Guttromson, R., Dagle, J. Frequency Control Concerns In The North American Electric Power System. <a target="_blank" href=''></a> ; EN50160 (2007). Voltage characteristics of electricity supplied by public distribution systems. ; Smirnov, S. S. Measurement Results of Frequency and Exchange Power Fluctuations in Russia's Power System. <a target="_blank" href=''></a> ; Union for the Co-ordination of Transmission of Electricity: Operation Handbook. (2004). Brussels. <a target="_blank" href=''></a> ; J. Giæver Tande (2002), Applying Power Quality Characteristics of Wind Turbines for Assessing Impact on Voltage Quality, SINTEF Energy Research, 5, 37. ; Zhong, Z. (2005). Power Systems Frequency Dynamic Monitoring System Design and Applications. <i>PhD thesis.</i> Virginia Polytechnic Institute and State University. ; Mallat S. (1999), A Wavelet Tour of Signal Processing. ; Burrus C. (2008), Introduction to wavelets and wavelet transforms: a primer. ; Zieliński T. (2004), Wavelet transform applications in instrumentation and measurement: tutorial and literature survey, Metrol. Meas. Syst, 11, 1, 61. ; Szmajda M. (2010), Gabor transform, spwvd, gabor-wigner transform and wavelet transform - tools for power quality monitoring, Metrol. Meas. Syst, 17, 3, 383, ; Barros J. (2008), Analysis of harmonics in power systems using the wavelet-packet, IEEE Trans. Instrum. Meas, 57, 1, 63, ; Dwivedi U. (2010), Enhanced Detection of Power-Quality Events Using Intra and Interscale Dependencies of Wavelet Coefficients, IEEE Trans. Power Deliv, 25, 1, 358, ; Moore P. (1994), A new numeric technique for high-speed evaluation of power system frequency, IEE proc.-Gener. Transm. Distrib, 141, 5, 529, ; Moore P. (1996), Frequency relaying based on instantaneous frequency measurement, IEEE Trans. Power Deliv, 11, 1737, ; IEC 61000-4-7. (2002). Electromagnetic compatibility (EMC)—Part 4-7: Testing and Measurement Techniques, International Electrotechnical Commission.