Skip to main content
SpringerLink
Log in

Power system frequency estimation utilizing the Newton-Raphson method

Frequenzschätzung im Energieversorgungssystem mittels der Methode nach Newton-Raphson

  • Published:
Archiv für Elektrotechnik Aims and scope Submit manuscript

Contents

The paper describes a new algorithm for measuring frequency at a power system bus. The algorithm is based on the Newton-Raphson iterative method using the digitized voltage samples at a relay location. The mathematical development of the algorithm is presented and the effects of key parameters that affect the performance of the algorithm are discussed. The algorithm is encompassing the Newton-Raphson method, which is very common for load flow studies. The algorithm shows a high measurement accuracy over a wide range of frequency changes. To demonstrate the efficiency of the proposed algorithm, results of a numerical experiment are presented.

Übersicht

Der Aufsatz beschreibt einen neuen Algorithmus zur Frequenzmessung in einer Netzversorgung; dabei wird die iterative Newton-Raphson-Methode, wie sie bei Lastflußstudien üblich ist, auf digitale Meßwerte von einem Abzweig im Netz angewendet. Nach Darstellung des mathematischen Algorithmus' wird der Einfluß der wichtigsten Parameter diskutiert. Der Algorithmus zeigt über einen weiten Bereich der Frequenzänderung eine hohe Meßgenauigkeit. Ein numerisches Beispiel belegt die Leistungsfähigkeit der vorgeschlagenen Methode.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Sachdev, M. S.; Giray, M. M.: A least error squares technique for determining power system frequency. IEEE Trans. Power Apparatus and System PAS-104 (1985) 437–443

    Google Scholar 

  2. Soliman, S. A.; Christensen, G. S.; Kelly, D. H.; El-Naggar, K. M.: A state estimation algorithm for identification and measurement of power system harmonics. Electric Power Systems Research 19 (1990) 195–206

    Google Scholar 

  3. Soliman, S. A.; Christensen, G. S.; Kelly, D. H.; Liu, N.: An algorithm for Frequency Relaying Based on Least Absolute Value Approximations. Electric Power Systems Research 19 (1990) 73–84

    Google Scholar 

  4. Nguyen, C. T.; Srinivasan, K.: A new technique for rapid tracking of frequency deviation based on level crossing. IEEE Trans. Power Apparatus and Systems PAS-103 2230 to 2237

  5. Girgis, A. A.; Ham, F. M.: A new FFT-based digital frequency relay for load shedding. IEEE Trans. Power Apparatus and Systems PAS-101 (1982) 433–439

    Google Scholar 

  6. Phadke, A. G.; Thorp, J. S.; Adamiak, M. G.: A new measurement technique for tracking voltage phasors, local system frequency and rate of change of frequency. IEEE Trans. Power Apparatus and System PAS-102 (1983) 1025–1038

    Google Scholar 

  7. Girgis, A. A.; Daniel Hwang, T. L.: Optimal estimation of voltage phasors and frequency deviation using linear and non-linear Kalman filtering: theory and limitations. IEEE Trans. Power Apparatus and Systems PAS-103 (1984) 2984 to 2950

    Google Scholar 

  8. Kamwa, I.; Grondin, R.: Fast Adaptive Schemes for Tracking Voltage Phasor and Local Frequency in Power Transmission and Distribution Systems. IEEE Trans. Power Delivery (1992) 789–795

  9. Tao, H.; Morrison, I. F.: The measurement of power system frequency using a microprocessor. Electric Power Systems Research, Vol. 11, No. 21 (1986) 103–108

    Google Scholar 

  10. Sachdev, M. S.; Shen, J.: A new digital technique for measuring frequency at a power system bus. Proceedings of the Fourth International Conference on Developments in Power System Protection, April 1989, 102–106

  11. Giray, M. M.; Sachdev, M. S.: Offnominal frequency measurements in Electric Power Systems. IEEE Trans. Power Delivery (1989) 1573–1578

  12. Giray, M. M.; Sachdev, M. S.: Off-nominal frequency measurements in Electric Power Systems. IEEE PES Winter Meeting, Paper No. 89, WM 050-6 PWRD, Jan/Feb. 1990

  13. Benmouyal, G.: An Adaptive Sampling-Interval Generator for Digital Relaying. IEEE PES Winter Meeting, Paper No. 89, WM 054-8 PWRD, Jan/Feb. 1989

  14. Kezunović, M.; Spasojević, P.; Peruničič, B.: New digital signal processing algorithms for frequency deviation measurements. IEEE Trans. Power Delivery, Vol. 7, No. 3, July 1992, 1563 to 2573.

    Google Scholar 

  15. Eckhardt, V.; Hippe, P.; Hosemann, G.: Dynamic measuring of frequency and frequency oscillations in multiphase power systems. IEEE Trans. Power Delivery 4 (1989) 95–101

    Google Scholar 

  16. Keay, F. W.; South, W. H.: Design of a System Stabilizer Sensing Frequency deviation. IEEE Trans. Power Apparatus and Systems PAS-90 (2) (1971) 707–713

    Google Scholar 

  17. Luenberger, D. G.: Introduction to linear and nonlinear programming. Adison-Wesley, Reading, Massachusetts, 1973

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Faculty of Electrical Engineering Electric Power Systems Depertment, University of Belgrade, Bulevar Revolucije 73, P. O. Box 816, 11000, Belgrade, Yugoslavia

    M. B. Durić,  V. V. Terzija &  I. A. Škokljev

Authors
  1. M. B. Durić
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. V. Terzija
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. I. A. Škokljev
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Durić, M.B., Terzija, V.V. & Škokljev, I.A. Power system frequency estimation utilizing the Newton-Raphson method. Archiv f. Elektrotechnik 77, 221–226 (1994). https://doi.org/10.1007/BF01573898

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01573898

Keywords

Search

Navigation