Inrush Current Reduction Strategy for a Three-Phase Dy Transformer Based on Pre-Magnetization of the Columns and Controlled Switching
The methodology and test results of a three-phase three-column transformer with a Dy connection group are presented in this paper. This study covers the dynamics of events that took place in the first period of the transient state caused by the energizing of the transformer under no-load conditions....
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-07-01
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| Series: | Energies |
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| Online Access: | https://www.mdpi.com/1996-1073/16/13/5238 |
| _version_ | 1827734896551919616 |
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| author | Marian Łukaniszyn Bernard Baron Joanna Kolańska-Płuska Łukasz Majka |
| author_facet | Marian Łukaniszyn Bernard Baron Joanna Kolańska-Płuska Łukasz Majka |
| author_sort | Marian Łukaniszyn |
| collection | DOAJ |
| description | The methodology and test results of a three-phase three-column transformer with a Dy connection group are presented in this paper. This study covers the dynamics of events that took place in the first period of the transient state caused by the energizing of the transformer under no-load conditions. The origin of inrush currents was analyzed. The influence of factors accompanying the switch-on and the impact of the model parameters on the distribution and maximum values of these currents was studied. In particular, the computational methods of taking into account the influence of residual magnetism in different columns of the transformer core, as well as the impact of the time instant determined in the voltage waveform at which the indicated voltage is supplied to a given transformer winding, were examined. The study was carried out using a nonlinear model constructed on the basis of classical modeling, in which hysteresis is not taken into account. Such a formulated model requires simplification, which is discussed in this paper. The model is described using a system of stiff nonlinear ordinary differential equations. In order to solve the stiff differential state equations set for the transient states of a three-phase transformer in a no-load condition, a Runge–Kutta method, namely the Radau IIA method, with ninth-order quadrature formulas was applied. All calculations were carried out using the authors’ own software, written in C#. A ready-made strategy for energizing a three-column three-phase transformer with a suitable pre-magnetization of its columns is given. |
| first_indexed | 2024-03-11T01:41:42Z |
| format | Article |
| id | doaj.art-14dd7f7bd62343ef92ad1c8ca7408ba3 |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-03-11T01:41:42Z |
| publishDate | 2023-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj.art-14dd7f7bd62343ef92ad1c8ca7408ba32023-11-18T16:32:25ZengMDPI AGEnergies1996-10732023-07-011613523810.3390/en16135238Inrush Current Reduction Strategy for a Three-Phase Dy Transformer Based on Pre-Magnetization of the Columns and Controlled SwitchingMarian Łukaniszyn0Bernard Baron1Joanna Kolańska-Płuska2Łukasz Majka3Department of Drive Automation and Robotics, Faculty of Electrical Engineering, Automatic Control and Informatics, Opole University of Technology, Prószkowska Street 76, 45-272 Opole, PolandDepartment of Drive Automation and Robotics, Faculty of Electrical Engineering, Automatic Control and Informatics, Opole University of Technology, Prószkowska Street 76, 45-272 Opole, PolandDepartment of Drive Automation and Robotics, Faculty of Electrical Engineering, Automatic Control and Informatics, Opole University of Technology, Prószkowska Street 76, 45-272 Opole, PolandDepartment of Electrical Engineering and Computer Science, Faculty of Electrical Engineering, Silesian University of Technology, Akademicka Street 10, 44-100 Gliwice, PolandThe methodology and test results of a three-phase three-column transformer with a Dy connection group are presented in this paper. This study covers the dynamics of events that took place in the first period of the transient state caused by the energizing of the transformer under no-load conditions. The origin of inrush currents was analyzed. The influence of factors accompanying the switch-on and the impact of the model parameters on the distribution and maximum values of these currents was studied. In particular, the computational methods of taking into account the influence of residual magnetism in different columns of the transformer core, as well as the impact of the time instant determined in the voltage waveform at which the indicated voltage is supplied to a given transformer winding, were examined. The study was carried out using a nonlinear model constructed on the basis of classical modeling, in which hysteresis is not taken into account. Such a formulated model requires simplification, which is discussed in this paper. The model is described using a system of stiff nonlinear ordinary differential equations. In order to solve the stiff differential state equations set for the transient states of a three-phase transformer in a no-load condition, a Runge–Kutta method, namely the Radau IIA method, with ninth-order quadrature formulas was applied. All calculations were carried out using the authors’ own software, written in C#. A ready-made strategy for energizing a three-column three-phase transformer with a suitable pre-magnetization of its columns is given.https://www.mdpi.com/1996-1073/16/13/5238stiff nonlinear ordinary differential equationsRunge–Kutta implicit methodscircuit model of a three-phase transformertransient stateinrush currents of the unloaded transformerthe time instant specified in the waveform of the switched supply voltage |
| spellingShingle | Marian Łukaniszyn Bernard Baron Joanna Kolańska-Płuska Łukasz Majka Inrush Current Reduction Strategy for a Three-Phase Dy Transformer Based on Pre-Magnetization of the Columns and Controlled Switching Energies stiff nonlinear ordinary differential equations Runge–Kutta implicit methods circuit model of a three-phase transformer transient state inrush currents of the unloaded transformer the time instant specified in the waveform of the switched supply voltage |
| title | Inrush Current Reduction Strategy for a Three-Phase Dy Transformer Based on Pre-Magnetization of the Columns and Controlled Switching |
| title_full | Inrush Current Reduction Strategy for a Three-Phase Dy Transformer Based on Pre-Magnetization of the Columns and Controlled Switching |
| title_fullStr | Inrush Current Reduction Strategy for a Three-Phase Dy Transformer Based on Pre-Magnetization of the Columns and Controlled Switching |
| title_full_unstemmed | Inrush Current Reduction Strategy for a Three-Phase Dy Transformer Based on Pre-Magnetization of the Columns and Controlled Switching |
| title_short | Inrush Current Reduction Strategy for a Three-Phase Dy Transformer Based on Pre-Magnetization of the Columns and Controlled Switching |
| title_sort | inrush current reduction strategy for a three phase dy transformer based on pre magnetization of the columns and controlled switching |
| topic | stiff nonlinear ordinary differential equations Runge–Kutta implicit methods circuit model of a three-phase transformer transient state inrush currents of the unloaded transformer the time instant specified in the waveform of the switched supply voltage |
| url | https://www.mdpi.com/1996-1073/16/13/5238 |
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