Journal of Electrical Engineering and Technology

The Korean Institute of Electrical Engineers (대한전기학회)
권호 표지
DOI QR코드

DOI QR Code

Fundamental Frequency Estimation in Power Systems Using Complex Prony Analysis

  • Nam, Soon-Ryul (Department of Electrical Engineering, Myongji University) ;
  • Lee, Dong-Gyu (Department of Electrical Engineering, Myongji University) ;
  • Kang, Sang-Hee (Department of Electrical Engineering, Myongji University) ;
  • Ahn, Seon-Ju (Department of Electrical Engineering, Chonnam National University) ;
  • Choi, Joon-Ho (Department of Electrical Engineering, Chonnam National University)
  • Received : 2010.05.16
  • Accepted : 2010.11.11
  • Published : 2011.03.01
Download PDF
⟨ Previous Next ⟩

Abstract

A new algorithm for estimating the fundamental frequency of power system signals is presented. The proposed algorithm consists of two stages: orthogonal decomposition and a complex Prony analysis. First, the input signal is decomposed into two orthogonal components using cosine and sine filters, and a variable window is adapted to enhance the performance of eliminating harmonics. Then a complex Prony analysis that is proposed in this paper is used to estimate the fundamental frequency by approximating the cosine-filtered and sine-filtered signals simultaneously. To evaluate the performance of the algorithm, amplitude modulation and harmonic tests were performed using simulated test signals. The performance of the algorithm was also assessed for dynamic conditions on a single-machine power system. The Electromagnetic Transients Program was used to generate voltage signals for a load increase and single phase-to-ground faults. The performance evaluation showed that the proposed algorithm accurately estimated the fundamental frequency of power system signals in the presence of amplitude modulation and harmonics.

Keywords

References

  1. M. M. Begovic, P. M. Djuric, S. Dunlap, A. G. Phadke, “Frequency tracking in power networks of harmonics,” International Conference on Harmonics in Power Systems, pp. 151-157, 1992.
  2. D. W. P. Thomas, M. S. Woolfson, “Evaluation of frequency tracking methods,” IEEE Trans. Power Delivery, Vol. 16, No. 3, pp. 367-371, 2001. https://doi.org/10.1109/61.924812
  3. A. Routray, A. K. Pradhan, K. P. Rao, “A novel Kalman filter for frequency estimation of distorted signals in power systems,” IEEE Trans. Instrumentation and Measurement, Vol. 51, No. 3, pp. 469-479, 2002. https://doi.org/10.1109/TIM.2002.1017717
  4. P. K. Dash, A. K. Pardhan, G. Panda, “Frequency estimation of distorted power system signals using extended complex Kalman filter,” IEEE Trans. Power Delivery, Vol. 14, No. 3, pp. 761-766, 1999. https://doi.org/10.1109/61.772312
  5. V. Kaura, V. Blasko, “Operation of a phase locked loop system under distorted utility conditions,” IEEE Trans. Industry Applications, Vol. 33, No. 1, pp. 58- 63, 1997. https://doi.org/10.1109/28.567077
  6. S.-K. Chung, “A phase tracking system for three phase utility interface inverters,” IEEE Trans. Power Electronics, Vol. 15, No. 3, pp. 431-438, 2000. https://doi.org/10.1109/63.844502
  7. H. Karimi, M. Karimi-Ghartemani, M. R. Iravani, “Estimation of frequency and its rate of change for applications in power systems,” IEEE Trans. Power Delivery, Vol. 19, No. 2, pp. 472-480, 2004. https://doi.org/10.1109/TPWRD.2003.822957
  8. P. K. Dash, D. P. Swain, A. Routray, A. C. Liew, “An adaptive neural network approach for the estimation of power system frequency,” Electric Power Systems Research, Vol. 41, No. 3, pp. 203-210, 1997. https://doi.org/10.1016/S0378-7796(96)01186-8
  9. L. L. Lai, W. L. Chan, C. T. Tse, A. T. P. So, “Realtime frequency and harmonic evaluation using artificial neural networks,” IEEE Trans. Power Delivery, Vol. 14, No. 1, pp. 52-59, 1999. https://doi.org/10.1109/61.736681
  10. M. S. Sachdev, M. M. Giray, “A least error squares technique for determining power system frequency,” IEEE Trans. Power Apparatus and Systems, Vol. PAS-104, No. 2, pp. 437-444, 1985. https://doi.org/10.1109/TPAS.1985.319059
  11. M. M. Giray, M. S. Sachdev, “Off-nominal frequency measurement in electric power systems,” IEEE Trans. Power Delivery, Vol. 4, No. 3, pp. 1573-1578, 1989. https://doi.org/10.1109/61.32645
  12. R. Chudamani, Krishna Vasudevan, C. S. Ramalingam, “Real-Time Estimation of Power System Frequency Using Nonlinear Least Squares,” IEEE Trans. Power Delivery, Vol. 24, No. 3, pp. 1021-1028, 2009. https://doi.org/10.1109/TPWRD.2009.2021047
  13. V. V. Terzija, M. B. Djuric, B. D. Kovacevic, “Voltage phasor and local system frequency estimation using Newton-type algorithms,” IEEE Trans. Power Delivery, Vol. 9, No. 3, pp. 1368-1374, 1994. https://doi.org/10.1109/61.311162
  14. T. Lobos, J. Rezmer, “Real-time determination of power system frequency,” IEEE Trans. Instrumentation and Measurement, Vol. 46, No. 4, pp. 877-881, 1997. https://doi.org/10.1109/19.650792
  15. A. G. Phadke, J. S. Thorp, M. G. Adamiak, “A new measurement technique for tracking voltage phasors, local system frequency and rate of change of frequency,” IEEE Trans. Power Apparatus and Systems, Vol. PAS-102, No. 5, pp. 1025-1038, 1983. https://doi.org/10.1109/TPAS.1983.318043
  16. P. J. Moore, R. D. Carranza, A. T. Johns, “A new numeric technique for high-speed evaluation of power system frequency,” IEE Proceedings - Generation Transmission and Distribution, Vol. 141, No. 5, pp. 529-536, 1994. https://doi.org/10.1049/ip-gtd:19941360
  17. J. Z. Yang, C. W. Liu, “A precise calculation of power system frequency,” IEEE Trans. Power Delivery, Vol. 16, No. 3, pp. 361-366, 2001. https://doi.org/10.1109/61.924811
  18. M. D. Kusljevic, “A simple recursive algorithm for frequency estimation,” IEEE Trans. Instrumentation and Measurement, Vol. 53, No. 2, pp. 335-340, 2004. https://doi.org/10.1109/TIM.2003.822707
  19. M. D. Kusljevic, “A simple recursive Algorithm for simultaneous magnitude and frequency estimation,” IEEE Trans. Instrumentation and Measurement, Vol. 57, No. 6, pp. 1207-1214, 2008. https://doi.org/10.1109/TIM.2007.913728
  20. D. Hart, D. Novosel, Yi Hu, B. Smith, M. Egolf, “A new frequency tracking and phasor estimation algorithm for generator protection,” IEEE Trans. Power Delivery, Vol. 12, No. 3, pp. 1064-1073, 1997. https://doi.org/10.1109/61.636849

Cited by

  1. Parameter Estimation Method of Low-Frequency Oscillating Signals Using Discrete Fourier Transforms vol.7, pp.2, 2012, https://doi.org/10.5370/JEET.2012.7.2.163
  2. Real-Time Estimation of Power System Frequency Using a Three-Level Discrete Fourier Transform Method vol.8, pp.12, 2014, https://doi.org/10.3390/en8010079
  3. A Two-Stage Algorithm to Estimate the Fundamental Frequency of Asynchronously Sampled Signals in Power Systems vol.8, pp.12, 2015, https://doi.org/10.3390/en8099282
  4. Period estimation for adaptive reconstruction of (quasi-) periodic signals vol.29, pp.1, 2015, https://doi.org/10.1002/acs.2458
  5. Least square and Kalman based methods for dynamic phasor estimation: a review vol.2, pp.1, 2017, https://doi.org/10.1186/s41601-016-0032-y
  6. Linear regression index-based method for fault detection and classification in power transmission line vol.13, pp.7, 2018, https://doi.org/10.1002/tee.22654