Aziz, C., Girgis, H., Nayel, M. (2022). Instantaneous Frequency Estimation Algorithm for Power Systems. JES. Journal of Engineering Sciences, 50(1), 9-24. doi: 10.21608/jesaun.2021.86413.1064
Christina Aziz; Hany Girgis; Mohamed Nayel. "Instantaneous Frequency Estimation Algorithm for Power Systems". JES. Journal of Engineering Sciences, 50, 1, 2022, 9-24. doi: 10.21608/jesaun.2021.86413.1064
Aziz, C., Girgis, H., Nayel, M. (2022). 'Instantaneous Frequency Estimation Algorithm for Power Systems', JES. Journal of Engineering Sciences, 50(1), pp. 9-24. doi: 10.21608/jesaun.2021.86413.1064
Aziz, C., Girgis, H., Nayel, M. Instantaneous Frequency Estimation Algorithm for Power Systems. JES. Journal of Engineering Sciences, 2022; 50(1): 9-24. doi: 10.21608/jesaun.2021.86413.1064
Instantaneous Frequency Estimation Algorithm for Power Systems
Electrical Department, Faculty of Engineering, Assiut University, Assiut, Egypt
Abstract
This paper deals with the problem of the Instantaneous Frequency (IF) estimation of power systems, to be adopted for example in Phasor Measurement Units (PMUs) used for monitoring, control, and protection. The main target is to provide an accurate estimation of power system frequency in real time with minimum delay. We introduce a novel algorithm based on Gabor transform for the estimation of the instantaneous frequency. Also we review a number of frequency estimation algorithms dealt with in the literature, namely the Zero Crossing algorithm, The Three-level Discrete Fourier Transform algorithm and the Differential Evolution algorithm. Simulation tests are made to compare the relative performance of the 4 algorithms. These tests include stationary frequency, the tracking of a changing frequency, the case when both frequency and amplitude are time varying, and also when the signal contains harmonics, white noise or DC component. Simulation tests revealed that under these conditions Gabor Algorithm provided the lowest Root Mean Square Error (RMSE) almost in all cases. It takes Gabor Algorithm a frame of 4 cycles or less with a sampling rate of 200samples/s to estimate the instantaneous frequency precisely. By overlapping the frames an accurate estimation can be even deduced each cycle. Zero RMSE is achieved by Gabor algorithm for stationary frequency case, under the above conditions of sampling rate and number of cycles
[1] M. H Jopri, A. R Abdullah, T. Sutikno, M. Manap, M. R Yusoff, "A Utilisation of Improved Gabor Transform for Harmonic Signals Detection and Classification Analysis" International Journal of Electrical and Computer Engineering (IJECE), Vol. 7, No. 1, February 2017, pp. 21~28 ISSN: 2088-8708, DOI: 10.11591/ijece. v7i1.pp21-28
[2] Spark Xue, Bogdan Kasztenny, Ilia Voloh and Dapo Oyenuga, " Power System Frequency Measurement for Frequency Relaying, " October 2007.
[3] Soon-Ryul Nam *, Seung-Hwa Kang and Sang-Hee Kang,' Real-Time Estimation of Power System Frequency Using a Three-Level Discrete Fourier Transform Method ", Department of Electrical Engineering, Myongji University, Yongin 449-728, Korea; Energies 2015, 8.
[4] Milenko B.DjurićŽeljko R.Djurišić', "Frequency measurement of distorted signals using Fourier and zero crossing techniques", Department of Electrical Engineering National Institute of Technology, Faculty of Electrical Engineering, University of Belgrade, Electric Power System Research, Volume 78, Issue 8, August 2008.
[5] Sang-Hee Kang, Woo-Seok Seo * and Soon-Ryul Nam’’A Frequency Estimation Method Based on a Revised 3-Level Discrete Fourier Transform with an Estimation Delay Reduction Technique,” 2020, 13(9), 2256
[6] Ankita Gupta#, Rajeev Thakur# and Sachin Murarka, An Efficient Approach to Zero Crossing Detection Based on Opto-Coupler, ISSN: 2248-9622, Vol. 3, Issue 5, Sep-Oct 2013, pp.834-838.
[7] R. Storn, “Differential Evolution, A Simple and Efficient Heuristic Strategy for Global Optimization over Continuous Spaces”, Journal of Global Optimization, Vol. 11, Dordrecht, pp. 341-359, 1997
[8] Amangaldi Koochaki, Hadieh Sadat Hosseini, Masoud Radmehr, “A NEW APPROACH FOR FREQUENCY ESTIMATION IN POWER SYSTEMS”, Iran, Sci.Int.(Lahore),27(2),1289-1292,2015
[9] EL-Naggar Khaled M., Hosam K.M. Youssef, “A genetic based algorithm for frequency-relaying applications, Electric Power Systems Research 55, 173– 178,2000
[10] K Venkatesh and K S Swarup, Senior Member, 'Estimation and Elimination of DC Component in Digital Relaying', IEEE 16th NATIONAL POWER SYSTEMS CONFERENCE Department of Electrical Engineering, Univ. College of Engg., Osmania University, Hyderabad, A.P, INDIA., 15th-17th DECEMBER, 2010 653
[11] Sang-Hee Kang, Woo-Seok Seo and Soon-Ryul Nam’’A Frequency Estimation Method Based on a Revised 3-Level Discrete Fourier Transform with an Estimation Delay Reduction Technique,” 2020, 13(9), 2256
[12] Janusz Szafran, Waldemar Rebizant, “Power system frequency estimation”, IET Proceedings - Generation Transmission and Distribution 145(5):578 – 582, October 1998
[13] Heresh Seyedi, Majid Sanaye-Pasand, “A new time-domain based power system frequency estimation algorithm”, European Transactions on Electrical Power”, Euro. Trans. Electr. Power (2011) DOI: 10.1002/etep
[14] Igor Djurovi´c, “Viterbi Algorithm for Chirp-Rate and Instantaneous Frequency Estimation”, Signal Processing, Vol. 91, No. 5, May 2011
[15] Dun Pei1 and Yili Xia, “Robust Power System Frequency Estimation Based on a Sliding Window Approach”, Hindawi Mathematical Problems in Engineering Volume 2019, Article ID 3254258