A Hybrid Method for Power System Frequency Estimation

Power system frequency is a critical parameter of voltage and current measurements for many applications, such as power quality, monitoring, and protection. This paper presents a hybrid approach for frequency estimation based on Taylor series expansion and Fourier algorithm. The method is derived using a dynamic signal model with varying parameters. The changing envelope of a power signal within an observation data window is approximated with a second-order Taylor series. A Fourier algorithm-based method is proposed to compute the parameters of such signal model. The algorithm using the linear model approach aimed at alleviating the computational complexity is also presented. The comparison of the performance under various conditions between the two approaches is conducted. Inheriting from the use of Fourier algorithm, this hybrid algorithm is immune to power system harmonics. It achieves excellent performance for signals with dynamic variations. The performance is investigated and compared with other techniques through simulations for various scenarios observed in real power systems. Experimental studies demonstrate the advantages of the proposed algorithm.

[1]  Y. Hu,et al.  A new frequency tracking and phasor estimation algorithm for generator protection , 1997 .

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

[3]  W. L. Peterson,et al.  Adaptive estimation of power system frequency deviation and its rate of change for calculating sudden power system overloads , 1990 .

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

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

[6]  Miodrag D. Kusljevic,et al.  Frequency Estimation of Three-Phase Power System Using Weighted-Least-Square Algorithm and Adaptive FIR Filtering , 2010, IEEE Transactions on Instrumentation and Measurement.

[7]  M. Kezunovic,et al.  New test methodology for evaluating protective relay security and dependability , 2008, 2008 IEEE Power and Energy Society General Meeting - Conversion and Delivery of Electrical Energy in the 21st Century.

[8]  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.

[9]  Mladen Kezunovic,et al.  New digital signal processing algorithms for frequency deviation measurement , 1991 .

[10]  A. T. Johns,et al.  Frequency relaying based on instantaneous frequency measurement [power systems] , 1996 .

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

[12]  M. Castilla,et al.  Power System Frequency Measurement Under Nonstationary Situations , 2008, IEEE Transactions on Power Delivery.

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

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

[15]  James S. Thorp,et al.  IEEE Standard for Synchrophasors for Power Systems , 1998 .

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

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

[18]  H.A. Darwish,et al.  Practical Considerations for Recursive DFT Implementation in Numerical Relays , 2006, 2005/2006 IEEE/PES Transmission and Distribution Conference and Exhibition.

[19]  M. S. Sachdev,et al.  An iterative technique for fast and accurate measurement of power system frequency , 1998 .

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

[21]  Hosam K. M. Youssef,et al.  A genetic based algorithm for frequency-relaying applications , 2000 .

[22]  Waldemar Rebizant,et al.  Power system frequency estimation , 1998 .

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

[24]  M. Oleskovicz,et al.  A modified least mean square algorithm for adaptive frequency estimation in power systems , 2008, 2008 IEEE Power and Energy Society General Meeting - Conversion and Delivery of Electrical Energy in the 21st Century.