Synthesis of the transfer function of the voltage controller in an active filter-stabilizer converter
DOI:
https://doi.org/10.15587/1729-4061.2021.229827Keywords:
transfer function, voltage controller, converter, transition process, control systemAbstract
It has been established that in order to ensure effective filtration and stabilization of the voltage of DC traction substations, it is advisable to use active filters-stabilizers. The dynamic characteristics of an active filter-stabilizer have been analyzed taking into consideration its discrete properties. It has been shown that the voltage converter in an active filter-stabilizer with bilateral pulse-width modulation for small values of control signal increment is an amplitude-pulse modulator of the second kind.
In order to improve the efficiency of using an active filter-stabilizer, which is part of the DC traction substation converter, the task was set to synthesize the transfer function of its converter's voltage controller. When analyzing a closed automatic control system, it was established that the transfer function of the voltage controller, which ensures the implementation of processes of finite duration in the closed automatic control system, includes a proportional part, an integral part, and a differential part. To determine the time constants for the transfer function of the PID-controller, as well as its damping coefficient, a closed automatic control system of the active filter-stabilizer voltage converter was investigated using an apparatus of Z-transformation. The result of synthesizing the transfer function of the voltage controller has established the parameters for the controller's transfer function, which ensure that the process of finite duration is executed in a closed system of automatic control over the converter's output voltage. The transition process in the system with a stepwise input effect of the processes of finite duration has been calculated, which confirmed that the transition process in the system ends after three clock intervals of discreteness. Establishing a transition process that ends over the finite number of discrete intervals, which is determined by the order of the characteristic equation, means that the process has been optimized for performance
References
- Panasenko, M. V., Honcharov, Yu. P., Sychenko, V. H. (2009). Problemy elektromahnitnoi sumisnosti pidsystem elektrychnoi tiahy postiynoho strumu i vykorystannia zasobiv sylovoi elektroniky dlia yikh vyrishennia. Elektrotekhnika ta elektroenerhetyka, 2, 22–28.
- Maksimchuk, V. F. (2013). Strategic objectives and priorities of economic development electrification and power supply. Elektryfikatsiya transportu, 5, 99–105.
- Samsonkin, V. M., Panasenko, N. V., Bozhko, V. V., Goncharov, Yu. P., Eres'ko, A. V., Zamaruev, V. V. et. al. (2008). Energoeffektivnyy preobrazovatel'nyy agregat s funktsiyami fil'tratsii garmonik vyhodnogo napryazheniya tyagovoy podstantsii sistemy elektrosnabzheniya postoyannogo toka napryazheniem 3 kV. Visnyk Dnipropetrovskoho natsionalnoho universytetu zaliznychnoho transportu imeni akademika V. Lazariana, 20, 66–72.
- Goncharov, Yu. P., Panasenko, M. V., Bozhko, V. V. (2008). Tyagoviy vipryamlyach z reversivnim vol'tododatkom na dvohoperatsіynih napіvprovіdnikovih priladah. Tekhnichna elektrodynamika, 2, 16–21.
- Goswami, R., Wang, S. (2017). Investigation of multiple feedback active filter configurations for differential mode(DM) electromagnetic interference(EMI) noise in AC/DC converter applications. IECON 2017 - 43rd Annual Conference of the IEEE Industrial Electronics Society. doi: https://doi.org/10.1109/iecon.2017.8217227
- Ribisi, E. T., Freere, P. (2017). Stabilizing photovoltaic DC rail voltage using an active filter. 2017 IEEE AFRICON. doi: https://doi.org/10.1109/afrcon.2017.8095687
- Ivakina, K. Y. (2013). Analysis of electromagnetic processes rectifier with pulse-width modulation. Visnyk of Vinnytsia Polytechnical Institute, 6, 65–67.
- Goncharov, Yu. P., Zamaruev, V. V., Ivahno, V. V., Lyubich, R. I., Panasenko, N. V. (2009). Minimizatsiya fil'trovogo oborudovaniya tyagovyh podstantsiy s pomosch'yu vol'todobavochnogo preobrazovatelya. Visnyk DNUZT im. V. Lazariana, 27, 56–60.
- Urazbahtina, N. G., Kuz'mich, V. N., Styskin, A. V. (2010). Pat. No. 99909 RF. Aktivnyy fil'tr-stabilizator peremennogo napryazheniya. No. 2010119136/07; declareted: 12.05.2010; published: 27.11.2010, Bul. No. 33.
- Gazijahani, F. S., Abadi, A. A., Safari, A. (2017). Robust Bi-level Model for Optimal Allocation and Design of Power System Stabilizer in MultiMachine Power Systems. International Journal of Control and Automation, 10 (9), 67–86. doi: https://doi.org/10.14257/ijca.2017.10.9.07
- Safari, A., Shayeghi, H., Shayanfar, H. A. (2016). Coordinated control of pulse width modulation based AC link series compensator and power system stabilizers. International Journal of Electrical Power & Energy Systems, 83, 117–123. doi: https://doi.org/10.1016/j.ijepes.2016.03.042
- Semenenko, О. І., Semenenko, Y. О. (2016). Active filterstabilizer rectifier unit for traction substation. Information and control systems at railway transport, 4, 29–33. doi: https://doi.org/10.18664/ikszt.v0i4.79392
- Shcherbak, Y., Semenenko, Y., Semenenko, A. (2017). Analysis of dynamic characteristics of the active filter-stabilizer. Eastern-European Journal of Enterprise Technologies, 2 (8 (86)), 10–15. doi: https://doi.org/10.15587/1729-4061.2017.95995
- Scherbak, Ya. V. (1999). Parametricheskoe formirovanie protsessa konechnoy dlitel'nosti v sistemah s poluprovodnikovymi preobrazovatelyami. Vestnik HGPU, 69, 15–21.
- Dzhuri, E.; Tsypkin, Ya. Z. (Ed.) (1963). Impul'snye sistemy avtomaticheskogo regulirovaniya. Moscow: Fizmatizdat, 455.
- Shipillo, V. P. (1975). Opredelenie ustanovivsheysya reaktsii lineynoy sistemy na periodicheskoe vozdeystvie metodom z-preobrazovaniya. Izv. VUZov. Elektromehanika, 5, 538–543.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2021 Яков Васильевич Щербак, Юрий Александрович Семененко, Александр Иванович Семененко, Надежда Петровна Карпенко, Александр Данилович Супрун, Александр Андреевич Плахтий, Владимир Павлович Нерубацкий
This work is licensed under a Creative Commons Attribution 4.0 International License.
The consolidation and conditions for the transfer of copyright (identification of authorship) is carried out in the License Agreement. In particular, the authors reserve the right to the authorship of their manuscript and transfer the first publication of this work to the journal under the terms of the Creative Commons CC BY license. At the same time, they have the right to conclude on their own additional agreements concerning the non-exclusive distribution of the work in the form in which it was published by this journal, but provided that the link to the first publication of the article in this journal is preserved.
A license agreement is a document in which the author warrants that he/she owns all copyright for the work (manuscript, article, etc.).
The authors, signing the License Agreement with TECHNOLOGY CENTER PC, have all rights to the further use of their work, provided that they link to our edition in which the work was published.
According to the terms of the License Agreement, the Publisher TECHNOLOGY CENTER PC does not take away your copyrights and receives permission from the authors to use and dissemination of the publication through the world's scientific resources (own electronic resources, scientometric databases, repositories, libraries, etc.).
In the absence of a signed License Agreement or in the absence of this agreement of identifiers allowing to identify the identity of the author, the editors have no right to work with the manuscript.
It is important to remember that there is another type of agreement between authors and publishers – when copyright is transferred from the authors to the publisher. In this case, the authors lose ownership of their work and may not use it in any way.
