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Measurement-Based Stiff Equation Methodology for Single Phase Transformer Inrush Current Computations

Author

Listed:
  • Łukasz Majka

    (Department of Electrical Engineering and Computer Science, Faculty of Electrical Engineering, Silesian University of Technology, Akademicka Street 10, 44-100 Gliwice, Poland)

  • Bernard Baron

    (Department of Drive Automation and Robotics, Faculty of Electrical Engineering, Automatic Control and Informatics, Opole University of Technology, Prószkowska Street 76, 45-272 Opole, Poland)

  • Paweł Zydroń

    (Department of Electrical and Power Engineering, Faculty of Electrical Engineering, Automatics, Computer Science and Biomedical Engineering, AGH University of Science and Technology, A. Mickiewicza Avenue 30, 30-059 Kraków, Poland)

Abstract

The present paper describes the research on the mechanism of inrush current formation in a modern single-phase transformer, in which the insulation system must withstand the stresses arising during these transient states. A complete and measurement-verified method for determining the transformer inrush current waveforms and other signals (e.g., fluxes and voltages) is developed. This method makes it possible to determine a steady state solution. However, on account of the electromagnetic phenomena, the solving process is long. To analyze the transient dynamic response of the tested transformer, a nonlinear model was assumed, from which the stiff differential equations were derived. The simulation analyses were performed using dedicated software written in C# with the original implementation of the five-stage Radau IIA algorithm selected from the known variants of the Runge–Kutta implicit methods. The calculations were based on the measurement waveforms recorded during transient (switch-on) and steady-state states when the transformer was not loaded. The full magnetization curve of the core sheets of the tested transformer with an original implementation of the polynomial fitting mechanism was applied. As a representative example and for the purposes of experimental verification of numerical tests, the worst case scenario for switch-on of an unloaded transformer was applied (switch-on is performed when the supplied voltage is zero). Phenomena related to the obtained experimental results, such as saturation and hysteresis, are discussed as well.

Suggested Citation

  • Łukasz Majka & Bernard Baron & Paweł Zydroń, 2022. "Measurement-Based Stiff Equation Methodology for Single Phase Transformer Inrush Current Computations," Energies, MDPI, vol. 15(20), pages 1-19, October.
  • Handle: RePEc:gam:jeners:v:15:y:2022:i:20:p:7651-:d:944496
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    References listed on IDEAS

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    1. Wenqi Ge & Chenchen Zhang & Yi Xie & Ming Yu & Youhua Wang, 2021. "Analysis of the Electromechanical Characteristics of Power Transformer under Different Residual Fluxes," Energies, MDPI, vol. 14(24), pages 1-22, December.
    2. Jakub Furgał & Maciej Kuniewski & Piotr Pająk, 2020. "Analysis of Internal Overvoltages in Transformer Windings during Transients in Electrical Networks," Energies, MDPI, vol. 13(10), pages 1-20, May.
    3. Sunil Kumar Gunda & Venkata Samba Sesha Siva Sarma Dhanikonda, 2021. "Discrimination of Transformer Inrush Currents and Internal Fault Currents Using Extended Kalman Filter Algorithm (EKF)," Energies, MDPI, vol. 14(19), pages 1-20, September.
    4. Grzegorz Komarzyniec, 2021. "Calculating the Inrush Current of Superconducting Transformers," Energies, MDPI, vol. 14(20), pages 1-19, October.
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    Cited by:

    1. Marian Łukaniszyn & Bernard Baron & Joanna Kolańska-Płuska & Łukasz Majka, 2023. "Inrush Current Reduction Strategy for a Three-Phase Dy Transformer Based on Pre-Magnetization of the Columns and Controlled Switching," Energies, MDPI, vol. 16(13), pages 1-21, July.

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