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Intensive Data-Driven Model for Real-Time Observability in Low-Voltage Radial DSO Grids

Author

Listed:
  • Emma M. V. Blomgren

    (Department of Applied Mathematics and Computer Science, Technical University of Denmark, 2800 Lyngby, Denmark)

  • Mohsen Banaei

    (Department of Applied Mathematics and Computer Science, Technical University of Denmark, 2800 Lyngby, Denmark)

  • Razgar Ebrahimy

    (Department of Applied Mathematics and Computer Science, Technical University of Denmark, 2800 Lyngby, Denmark)

  • Olof Samuelsson

    (Division of Industrial Electrical Engineering and Automation, Faculty of Engineering, Lund University, SE-22100 Lund, Sweden)

  • Francesco D’Ettorre

    (Department of Applied Mathematics and Computer Science, Technical University of Denmark, 2800 Lyngby, Denmark)

  • Henrik Madsen

    (Department of Applied Mathematics and Computer Science, Technical University of Denmark, 2800 Lyngby, Denmark)

Abstract

Increasing levels of distributed generation (DG), as well as changes in electricity consumption behavior, are reshaping power distribution systems. These changes might place particular stress on the secondary low-voltage (LV) distribution systems not originally designed for bi-directional power flows. Voltage violations, reverse power flow, and congestion are the main arising concerns for distribution system operators (DSOs), while observability in these grids is typically nonexistent or very low. The present paper addresses this issue by developing a method for nodal voltage estimation in unbalanced radial LV grids (at 0.4 kV). The workflow of the proposed method combines a data-driven grey-box modeling approach with generalized additive models (GAMs). Furthermore, the proposed method relies on experimental data from a real-world LV grid in Denmark and uses data input from only one measuring device per feeder. Predictions are evaluated by using a test data set of 31 days, which is more than twice the size of the training data set of 13 days. The prediction results show high accuracy at root mean squared errors (RMSEs) of 0.002–0.0004 p.u. The method also requires a short computation time (14 s for the first stage and 2 s for the second stage) that meets requirements for the practical, real-time monitoring of DSO grids.

Suggested Citation

  • Emma M. V. Blomgren & Mohsen Banaei & Razgar Ebrahimy & Olof Samuelsson & Francesco D’Ettorre & Henrik Madsen, 2023. "Intensive Data-Driven Model for Real-Time Observability in Low-Voltage Radial DSO Grids," Energies, MDPI, vol. 16(11), pages 1-22, May.
    • Handle: RePEc:gam:jeners:v:16:y:2023:i:11:p:4366-:d:1157486
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    References listed on IDEAS

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    1. Simon N. Wood, 2003. "Thin plate regression splines," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 65(1), pages 95-114, February.
    2. Simon N. Wood, 2011. "Fast stable restricted maximum likelihood and marginal likelihood estimation of semiparametric generalized linear models," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 73(1), pages 3-36, January.
    3. Simon N. Wood, 2004. "Stable and Efficient Multiple Smoothing Parameter Estimation for Generalized Additive Models," Journal of the American Statistical Association, American Statistical Association, vol. 99, pages 673-686, January.
    4. István Táczi & Bálint Sinkovics & István Vokony & Bálint Hartmann, 2021. "The Challenges of Low Voltage Distribution System State Estimation—An Application Oriented Review," Energies, MDPI, vol. 14(17), pages 1-17, August.
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