PDF Печать E-mail

DOI: https://doi.org/10.15407/techned2020.04.029


Journal Tekhnichna elektrodynamika
Publisher Institute of Electrodynamics National Academy of Science of Ukraine
ISSN 1607-7970 (print), 2218-1903 (online)
Issue No 4, 2020 (July/August)
Pages 29 - 34

T.V. Mysak*, V.M. Mikhalskyi**
Institute of Electrodynamics National Academy of Science of Ukraine,
Peremohy ave., 56, Kyiv, 03057, Ukraine,
e-mail: Этот e-mail адрес защищен от спам-ботов, для его просмотра у Вас должен быть включен Javascript
* ORCID ID : https://orcid.org/0000-0002-3140-971X
** ORCID ID : https://orcid.org/0000-0002-8251-3111


It`s studied the control of a three-phase parallel active filter, which is connected to a network in which there is a nonlinear load. This filter consists of a semiconductor voltage inverter, capacitive storage and a single-order RL filter. The object of research was decomposed according to the rate of movement of the dynamic system. The two-dimensional sliding surface is a linear combination of the components of the two-dimensional current error vectors of the RL filter and the two-dimensional variable obtained by introducing the second-order sliding mode into the system, at the occurrence of which this variable becomes equivalent to the first derivative of the current error. This avoided the use of a separate filter for high-frequency modulation components in the measured current. To stabilize the value of DC voltage, a modified double twisting algorithm is used. To confirm the theoretical assumptions, a simulation model is built and the results of digital experiments are analyzed. A comparison of the proposed strategy with traditional PI control according to the criteria of the duration of the transient process and the harmonic distortion coefficient in the current that is consumed from the network is made. References 10, figures 4.

Key words: shunt active power filter, sliding mode, compensating current, sliding manifold, movies decomposition.

Received: 28.02.2020
Accepted: 17.04.2020
Published: 26.06.2020


1. Singh B., Chandra A., Al-Haddad K. Power Quality Problems and Mitigation Techniques. John Wiley, 2015. 582 p. DOI: https://doi.org/10.1002/9781118922064.
2. Mykhalskiy V.M. Means for improving the quality of electricity at inputs and outputs of frequency and voltage transformers with Pulse-With-Modulation. Kyiv: Institute of electrodynamics of NAS of Ukraine, 2013. 340 p. (Ukr)
3. Luis Morán, Juan Dixon, Miguel Torres. Active Power Filters. Butterworth-Heinemann, 2018. Pp. 1341-1379. DOI: https://doi.org/10.1016/B978-0-12-811407-0.00046-5.
4. Akagi H. Modern active filters and traditional passive filters. Bulletin of the polish academy of sciences technical sciences. 2006. Vol. 54. No 3. Pp. 255-269. URL: http://bluebox.ippt.pan.pl/~bulletin/(54-3)255.pdf
5. Drakunov S.V., Izosimov D.B., Luk'yanov A.G., Utkin V.A., Utkin V.I. The block control principle. Avtomatika i Telemekhanika, 1990. No 5. Pp. 38-47. (Rus).
6. Shtessel Y., Taleb M., Plestan F. A novel adaptive-gain supertwisting sliding mode controller: Methodology and application. Automatica. 2012. Vol. 48. Pp. 759-769. DOI: https://doi.org/10.1016/j.automatica.2012.02.024.
7. Kamal S., Chalanga A., Moreno J., Fridman L., Bandyopadhyay B. Higher Order Super-Twisting Algorithm. Proc. 13th International Workshop on Variable Structure Systems (VSS), Nantes, 2014. Pp. 1-5. DOI: https://doi.org/10.1109/VSS.2014.6881129.
8. Emelyanov S.V., Korovin S.K., Levantovskii L.V. A family of new regulators based on second order sliding mode. Matematicheskoje Modelirovanije. 1990. Vol.2. No 3. Pp.89-100.
9. Denysenko K.I., Kutran I.S., Lesyk V.A., Mysak T.V. Increasing the performance of the voltage control sybsystem of the storage capacitor of a three-phase parallel active filter. Pratsi Instytutu elektrodynamiky NAN Ukrainy. 2020. No 55. Pp. 22-30. (Ukr) DOI: https://doi.org/10.15407/publishing2020.55.022.
10. Bandyopadhyay B., Sivaramakrishnan Janardhanan, Spurgeon S.K. Advances in sliding mode control: concept, theory and implementation, 2013. DOI: https://doi.org/10.1007/978-3-642-36986-5.





Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.