Skip to main content
Log in

Time Series Deep learning for Robust Steady-State Load Parameter Estimation using 1D-CNN

  • Research Article-Electrical Engineering
  • Published:
Arabian Journal for Science and Engineering Aims and scope Submit manuscript

Abstract

Availability of synchronized measurements provides an avenue for real-time measurement-based estimation of load model parameters. The presence of noise and outliers in actual PMU data makes it essential to develop estimation approaches robust to noise and outliers. Robust load parameter estimation is identified as the major goal in this research. This paper presents a time-series ML framework for robust steady-state load parameter estimation. The time-series machine learning-based approach provides the ability to intelligently estimate parameters using just voltage and power time-series data without any specific user-defined features. The convolutional neural network in 1D form (1D-CNN) is proposed for implementing the proposed time-series ML-based framework for load parameter estimation. Presented case studies demonstrate that the proposed algorithm provides robust estimation performance in the presence of realistic noise in PMU measurements. This work also introduces a bad data preprocessing framework to further enhance parameter estimation’s robustness with outliers in measurement data. A detailed statistical analysis is performed to demonstrate excellent generalizing capability and robust estimation performance of the proposed parameter estimation framework.

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

Access this article

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

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10

Similar content being viewed by others

Abbreviations

PMU:

Phasor measurement unit

CNN:

Convolutional neural networks

1D:

1-Dimensional

ML:

Machine learning

RLS:

Recursive least squares

OLS:

Ordinary least squares

SCADA:

Supervisory control and data acquisition

MAD:

Mean absolute deviation

ADAM:

Adaptive moment estimation

SGD:

Stochastic gradient descent

MAE:

Mean absolute error

SNR:

Signal-to-noise ratio

RF:

Random forest

SVM:

Support vector machine

OLS:

Ordinary least squares

ZIP:

Impedance (Z), current (I), and power (P)

References

  1. Pal, M.K.: Voltage stability conditions considering load characteristics. IEEE Trans. Power Syst. 7(1), 243–249 (1992)

    Article  Google Scholar 

  2. Overbye, T.: Effects of load modelling on analysis of power system voltage stability. Int. J. Elect. Power Energy Syst. 16(5), 329–338 (1994)

    Article  Google Scholar 

  3. Bokhari, A.; Alkan, A.; Dogan, R.; Diaz-Aguiló, M.; de León, F.; Czarkowski, D.; Zabar, Z.; Birenbaum, L.; Noel, A.; Uosef, R.E.: Experimental determination of the zip coefficients for modern residential, commercial, and industrial loads. IEEE Trans. Power Deliv. 29(3), 1372–1381 (2014)

    Article  Google Scholar 

  4. Dias, L.G.; El-Hawary, M.E.: Nonlinear parameter estimation experiments for static load modelling in electric power systems. IEE Proc. C Gener. Transm. Distrib. 136(2), 68–77 (1989)

  5. Li, Yinhong; Chiang, H.-D.; Choi, B.-K.; Chen, Y.-T.; Huang, D.-H.; Lauby, M.G.: Representative static load models for transient stability analysis: development and examination. IET Gen. Trans. Distrib. 1(3), 422–431 (2007)

  6. Renmu, H.; Jin, Ma.; Hill, D.J.: Composite load modeling via measurement approach. IEEE Trans. Power Syst. 21(2), 663–672 (2006)

  7. Arif, A.; Wang, Z.; Wang, J.; Mather, B.; Bashualdo, H.; Zhao, D.: Load modeling—a review. IEEE Trans. Smart Grid 9(6), 5986–5999 (2018)

    Article  Google Scholar 

  8. Kalinowsky, S.A.; Forte, M.N.: Steady state load-voltage characteristic field tests at area substations and fluorescent lighting component characteristics. IEEE Trans. Power Appar. Syst. PAS 100(6), 3087–3094 (1981)

  9. Milanovic, J.; Yamashita, K.; Villanueva, S.; Djokic, S.; Korunović, L.: International industry practice on power system load modeling. IEEE Trans. Power Syst. 28(3), 3038–3046 (2013)

    Article  Google Scholar 

  10. Banerjee, P.; Rizvi, S.M.H.; Srivastava, A.K.; Markham, P.; Patel, M.: Data-driven static load model parameter estimation with confidence factor. In: 2018 IEEE International Conference on Probabilistic Methods Applied to Power Systems (PMAPS), pp. 1–6 (2018)

  11. Hur Rizvi, S.M.; Sadanandan, S.K.; Srivastava, A.K.: Real-time zip load parameter tracking using adaptive window and variable elimination with realistic synthetic synchrophasor data. In: 2020 IEEE Industry Applications Society Annual Meeting, pp. 1–8 (2020)

  12. Zhao, J.; Wang, Z.; Wang, J.: Robust time-varying load modeling for conservation voltage reduction assessment. IEEE Trans. Smart Grid 9(4), 3304–3312 (2018)

  13. Tushar; P.S.; Srivastava, A.K.; Markham, P.; Patel, M.: Online estimation of steady-state load models considering data anomalies. IEEE Trans. Indus. Appl. 54(1), 712–721 (2018)

  14. Wang, C.; Wang, Z.; Ma, S.: Svm-based parameter identification for static load modeling. In: 2018 IEEE/PES Transmission and Distribution Conference and Exposition (TD), pp. 1–5 (2018)

  15. Wang, C.; Wang, Z.; Wang, J.; Zhao, D.: Svm-based parameter identification for composite zip and electronic load modeling. IEEE Trans. Power Syst. 34(1), 182–193 (2019)

    Article  Google Scholar 

  16. Yang, H.; Meng, C.; Wang, C.: Data-driven feature extraction for analog circuit fault diagnosis using 1-d convolutional neural network. IEEE Access 8, 18305–18315 (2020)

    Article  Google Scholar 

  17. Ince, T.; Kiranyaz, S.; Eren, L.; Askar, M.; Gabbouj, M.: Real-time motor fault detection by 1-d convolutional neural networks. IEEE Trans. Indus. Electron. 63(11), 7067–7075 (2016)

    Article  Google Scholar 

  18. Kiranyaz, S.; Ince, T.; Gabbouj, M.: Real-time patient-specific ecg classification by 1-d convolutional neural networks. IEEE Trans. Biomed. Eng. 63(3), 664–675 (2016)

    Article  Google Scholar 

  19. Abdeljaber, O.; Avci, O.; Kiranyaz, S.; Gabbouj, M.; Inman, D.J.: Real-time vibration-based structural damage detection using one-dimensional convolutional neural networks. J. Sound Vib. 388, 154–170 (2017)

    Article  Google Scholar 

  20. Kiranyaz, S.; Avci, O.; Abdeljaber, O.; Ince, T.; Gabbouj, M.; Inman, D.J.: 1d convolutional neural networks and applications: a survey. Mech. Syst. Sig. Process. 151, 107398 (2021)

  21. Brown, M.; Biswal, M.; Brahma, S.; Ranade, S.J.; Cao, H.: Characterizing and quantifying noise in pmu data. In: 2016 IEEE Power and Energy Society General Meeting (PESGM), pp. 1–5 (2016)

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Syed M. Hur Rizvi.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Rizvi, S.M.H. Time Series Deep learning for Robust Steady-State Load Parameter Estimation using 1D-CNN. Arab J Sci Eng 47, 2731–2744 (2022). https://doi.org/10.1007/s13369-021-05782-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13369-021-05782-6

Keywords

Navigation