Abstract
The paper proposes three new algorithms for estimation of the fundamental phasor in a power system, based on the removal of exponentially decaying DC components (DDCs). These components, as well as high-order harmonics and noise components, have a considerable effect on the accuracy and speed of convergence in numerical and digital relays speed of the protection relay operation. A discrete Fourier transform based approach with a modified Prony method was used to calculate and remove the unwanted effect of DDCs in a time interval slightly longer than the period of the fundamental harmonics. The use of an FIR notch filter leads to an algorithm that offers the possibility to estimate the parameters of unwanted DDCs in a simpler and analytically more precise way, thus facilitating their program implementation. The first two algorithms offer the ability to easily adjust the response speed detection time. This flexibility of the algorithms provides a compromise in terms of response speed and expected reliability and security of fault detection. In the third algorithm developed based on the application of the Least Error Squares method, new analytical expressions for estimating the parameters of the processed current signal are derived. The developed algorithms have low numerical and computational complexity, while maintaining their high performances even in conditions of a very strong noise signal. The simulation results for different test signals demonstrate high precision in the estimation of fundamental phasor of the proposed algorithms.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Horowitz SH, Phadke AG (2008) Power system relaying. Wiley
Kang S, Lee D, Nam S, Crossley PA, Kang Y (2009) Fourier transform-based modified phasor estimation method immune to the effect of the DC offsets. IEEE Trans Power Deliv 24(3):1104–1111
Gu JC, Yu SL (2000) Removal of DC offset in current and voltage signals using a novel Fourier filter algorithm. IEEE Trans Power Deliv 15(1):73–79
Yu SL, Gu JC (2001) Removal of decaying DC in current and voltage signals using a modified Fourier filter algorithm. IEEE Trans Power Deliv 16(3):372–379
Guo Y, Kezunovic M, Chen D (2003) Simplified algorithms for removal of the effect of exponentially decaying DC-offset on the Fourier algorithm. IEEE Trans Power Delivery 18(3):711–717
Hwang JK, Song CK, Jeong MG (2018) DFT-based phasor estimation for removal of the effect of multiple DC components. IEEE Trans Power Deliv 33(6):2901–2909
Silva KM, Nascimento FAO (2018) Modified DFT-based phasor estimation algorithms for numerical relaying applications. IEEE Trans Power Deliv 33(3):1165–1173
Hwang JK (2019) Improvement of phasor estimation accuracy by Prony-based identification of two decaying DC components. In: 2019 IEEE Power and energy society general meeting (PESGM), Atlanta, GA, USA, pp. 1–5
Min KW, Santoso S (2018) DC offset removal algorithm for improving location estimates of momentary faults. IEEE Trans Smart Grid 9(6):5503–5511
Tajdinian M, Jahromi MZ, Mohseni K, Kouhsari SM (2016) An analytical approach for removal of decaying DC component considering frequency deviation. Electr Power Syst Res 130:208–219
Tajdinian M, Seifi AR, Allahbakhshi M (2017) Half-cycle method for exponentially DC components elimination applicable in phasor estimation. IET Sci Measure Technol 11(8):1032–1042
Allahbakhshi M, Tajdinian M, Seifi AR, Zareian JM, Bagheri A (2019) Hybrid approach for immunisation of DFT-based phasor estimation method against decaying DC components. IET Sci Meas Technol 13(2):238–246
Kim WJ, Kang SH (2018) A DC offset removal algorithm based on AR model. J Int Council Electr Eng 8(1):156–162
Jafarpisheh B, Madani SM, Parvaresh F (2018) Phasor estimation algorithm based on complex frequency filters for digital relaying. IEEE Trans Instrum Meas 67(3):582–592
Xiong L, Liu X, Liu Y (2021) Decaying DC and harmonic components detection for absorbing impact load currents in weak grids. IEEE Trans Power Deliv 36(3):1907–1910
Petrović PB, Rozgić D (2018) Computational effective modified newton-raphson algorithm for power harmonics parameters estimation. IET Signal Proc 12(5):590–598
Hauer JF, Demeure CJ, Scharf LL (1990) Initial results in Prony analysis of power system response signals. IEEE Trans Power Syst 5:80–89
Benmouyal G (1995) Removal of DC-offset in current waveforms using digital mimic filtering. IEEE Trans Power Deliv 10(2):621–630
Hwang JK, Liu Y (2014) Noise analysis of power system frequency estimated from angle difference of discrete Fourier transform coefficient. IEEE Trans Power Del 29(4):1533–1541
Bradley DA, Gray CB, O’Kelly D (1978) Transient compensation of current transformers. IEEE Trans Power App Syst PAS-97(4):1264–1271
Power System Blockset User’s Guide (2002) Nattick, MA: the Mathwork, Inc.
Phadke AG, Thorp JS (2009) Computer relaying for power systems. Wiley, New York, NY
Cho YS, Lee CK, Jang G, Lee HJ (2009) An innovative decaying DC component estimation algorithm for digital relaying. IEEE Trans Power Deliv 24(1):73–78
Funding
Research was supported by Ministry of Education, Science and Technological Development, Republic of Serbia, Grant Nos. 42009 and 172057.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The authors declare that they have no conflict of interest.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Rozgić, D., Petrović, P.B. New modified DFT-Prony-based algorithms for removal of decaying DC components from fundamental phasor estimates. Electr Eng 104, 3265–3279 (2022). https://doi.org/10.1007/s00202-022-01548-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00202-022-01548-x