Real-Time Estimation of Power System Frequency Using a Three-Level Discrete Fourier Transform Method

This paper proposes a three-level discrete Fourier transform (DFT) method to provide an accurate estimate of power system frequency in real time. The first level decomposes a power system signal into two orthogonal cosine- and sine-filtered signals. The second and third levels are used to determine the amplitude ratio of the cosine- and sine-filtered signals without encountering the zero-crossing problem and with an increase in ability to suppress harmonics and inter-harmonics. The performance of the three-level DFT method is evaluated using computer-simulated signals with harmonics and inter-harmonics. The three-level DFT method is also implemented on a digital signal processor (DSP)-based hardware prototype, and its performance in the hardware implementation is evaluated using a real-time digital simulator (RTDS). The evaluation results show that the three-level DFT method can achieve real-time estimation of power system frequency with satisfactory performance.

[1]  J. Thorp,et al.  A New Measurement Technique for Tracking Voltage Phasors, Local System Frequency, and Rate of Change of Frequency , 1983, IEEE Transactions on Power Apparatus and Systems.

[2]  Adly Girgis,et al.  Optimal Estimation Of Voltage Phasors And Frequency Deviation Using Linear And Non-Linear Kalman Filtering: Theory And Limitations , 1984, IEEE Transactions on Power Apparatus and Systems.

[3]  Adly A. Girgis,et al.  Optimal Estimation of Voltage Phasors and Frequency Deviation Using Linear and Nonlinear Kalman Filtering: Theory and Limitations , 1984, IEEE Power Engineering Review.

[4]  M. Sachdev,et al.  A Least Error Squares Technique For Determining Power System Frequency , 1985, IEEE Transactions on Power Apparatus and Systems.

[5]  V. Eckhardt,et al.  Dynamic measuring of frequency and frequency oscillations in multiphase power systems , 1989 .

[6]  M. S. Sachdev,et al.  Off-Nominal Frequency Measurements in Electric Power Systems , 1989, IEEE Power Engineering Review.

[7]  Innocent Kamwa,et al.  Fast adaptive schemes for tracking voltage phasor and local frequency in power transmission and distribution systems , 1991 .

[8]  L. Hossenlopp,et al.  Measurement of voltage phase for the French future defence plan against losses of synchronism , 1992 .

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

[10]  Vladimir Terzija,et al.  Voltage phasor and local system frequency estimation using Newton type algorithm , 1994 .

[11]  A. T. Johns,et al.  A new numeric technique for high-speed evaluation of power system frequency , 1994 .

[12]  V. Blasko,et al.  Operation of a phase locked loop system under distorted utility conditions , 1996, Proceedings of Applied Power Electronics Conference. APEC '96.

[13]  J. Rezmer,et al.  Real-time determination of power system frequency , 1996, Quality Measurement: The Indispensable Bridge between Theory and Reality (No Measurements? No Science! Joint Conference - 1996: IEEE Instrumentation and Measurement Technology Conference and IMEKO Tec.

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

[15]  P. Dash,et al.  An adaptive neural network approach for the estimation of power system frequency , 1997 .

[16]  Ganapati Panda,et al.  Frequency estimation of distorted power system signals using extended complex Kalman filter , 1999 .

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

[18]  Tarlochan S. Sidhu,et al.  Accurate measurement of power system frequency using a digital signal processing technique , 1999, IEEE Trans. Instrum. Meas..

[19]  C. W. Liu,et al.  A Precise Calculation of Power System Frequency , 2001, IEEE Power Engineering Review.

[20]  David W. P. Thomas,et al.  Evaluation of frequency tracking methods , 2001 .

[21]  T. Lin,et al.  A wavelet approach to real time estimation of power system frequency , 2001, SICE 2001. Proceedings of the 40th SICE Annual Conference. International Session Papers (IEEE Cat. No.01TH8603).

[22]  Aurobinda Routray,et al.  A novel Kalman filter for frequency estimation of distorted signals in power systems , 2002, IEEE Trans. Instrum. Meas..

[23]  M. Karimi-Ghartemani,et al.  Estimation of frequency and its rate of change for applications in power systems , 2003, 2003 IEEE Power Engineering Society General Meeting (IEEE Cat. No.03CH37491).

[24]  M.R. Iravani,et al.  Estimation of frequency and its rate of change for applications in power systems , 2004, IEEE Transactions on Power Delivery.

[25]  A.K. Pradhan,et al.  Power system frequency estimation using least mean square technique , 2005, IEEE Transactions on Power Delivery.

[26]  Alireza R. Bakhshai,et al.  Estimation of Power System Frequency Using Adaptive Notch Filter , 2005, 2005 IEEE Instrumentationand Measurement Technology Conference Proceedings.

[27]  Jun Zheng,et al.  Two Simplified Recursive Gauss–Newton Algorithms for Direct Amplitude and Phase Tracking of a Real Sinusoid , 2007, IEEE Signal Processing Letters.

[28]  Simon X. Yang,et al.  Power system frequency estimation using Supervised Gauss-Newton algorithm , 2007, 2007 IEEE International Conference on Systems, Man and Cybernetics.

[29]  R. Zivanovic,et al.  An Adaptive Differentiation Filter for Tracking Instantaneous Frequency in Power Systems , 2007, IEEE Transactions on Power Delivery.

[30]  M. Djurić,et al.  Frequency measurement of distorted signals using Fourier and zero crossing techniques , 2008 .

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

[32]  Soliman Abdel-hady Soliman,et al.  Measurement of a power system nominal voltage, frequency and voltage flicker parameters , 2009 .

[33]  Tarun Kumar Rawat,et al.  A continuous-time least mean-phase adaptive filter for power system frequency estimation , 2009 .

[34]  N. D. Hatziargyriou,et al.  Illustration of Modern Wind Turbine Ancillary Services , 2010 .

[35]  M. Kezunovic,et al.  Use of recursive wavelet transform for estimating power system frequency and phasors , 2010, IEEE PES T&D 2010.

[36]  Ramin Agha Zadeh,et al.  Combination of Kalman Filter and Least-Error Square Techniques in Power System , 2010, IEEE Transactions on Power Delivery.

[37]  Soon-Ryul Nam,et al.  Fundamental Frequency Estimation in Power Systems Using Complex Prony Analysis , 2011 .

[38]  A. Abdollahi,et al.  Frequency Estimation: A Least-Squares New Approach , 2011, IEEE Transactions on Power Delivery.

[39]  M. Kezunovic,et al.  Real-Time Power System Frequency and Phasors Estimation Using Recursive Wavelet Transform , 2011, IEEE Transactions on Power Delivery.

[40]  M. Kezunovic,et al.  A Hybrid Method for Power System Frequency Estimation , 2012, IEEE Transactions on Power Delivery.

[41]  R. K. Patnaik,et al.  Dynamic phasor and frequency estimation of time-varying power system signals , 2013 .

[42]  Yili Xia,et al.  A widely linear least mean phase algorithm for adaptive frequency estimation of unbalanced power systems , 2014 .

[43]  Claudia Rahmann,et al.  Fast Frequency Response Capability of Photovoltaic Power Plants: The Necessity of New Grid Requirements and Definitions , 2014 .