Russian Electrical Engineering

, Volume 89, Issue 1, pp 47–53 | Cite as

Analysis and Calculation of a Parallel Active Filter



We analyze electromagnetic processes in a three-phase asymmetric network with a parallel active filter and propose a method to calculate its parameters. At the basis of our consideration lies the transformation of the asymmetric representation of the load currents from a spatial representation, a planar one, in which the description of electromagnetic processes by the methods of circuits theory is possible. As a result of the analysis, analytical relations between variables of state and parameters of the filter have been obtained. Basic dependences have been found by which a method for calculating the parameters of the active filter has been proposed. An asymmetric three-phase network with an active filter calculated by this method is implemented within the Simulink-Sim Power System software package. The simulation results confirmed the validity of theoretical analysis and the ability of an active filter to compensate for all the inactive components of power in an asymmetric three-phase network.


three-phase asymmetric network parallel active filter analysis of electromagnetic processes method for calculating parameters Simulink Power System program package 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Rozanov, Yu.K., Silovaya elektronika (Power Electronics Engineer), Moscow: Mosk. Energ. Inst., 2007.Google Scholar
  2. 2.
    Chaplygin, E.E. and Kalugin, N.G., Teoriya moshchnosti v silovoi elektronike. Uchebnoe posobie (Power Theory in Power Electronics: Manual), Moscow: Mosk. Energ. Inst., 2006.Google Scholar
  3. 3.
    Akagi, H., et al., Generalized theory of instantaneous reactive power in three-phase circuits, Proc. Int. Power Electronics Conf., IPEC’83, Tokyo, 1993.Google Scholar
  4. 4.
    Akagi, H., New trends in active filters, Proc. 6th European Conf. on Power Electronics and Applications (EPE’95), Seville, 1995.Google Scholar
  5. 5.
    Kovach, K.P. and Rats, I., Perekhodnye protsessy v mashinakh peremennogo toka (Transient Processes in ACMachines), Moscow: Gosenergoizdat, 1963.Google Scholar
  6. 6.
    Bulgakov, A.A., Novaya teoriya upravlyaemykh vypryamitelei (The New Theory for Controllable Rectifiers), Moscow: Nauka, 1970.Google Scholar
  7. 7.
    Strzelecki, R. and Supronowicz, H., Filtracja Harmonicznych w Sieciach Zasilających Prądu Przemiennego, Toruń: Wyd. Adam Marszałek, 1998.Google Scholar
  8. 8.
    Zhemerov, G.G., Kolesnik, V.Yu., and Il’ina, O.V., Sootnosheniya dlya preobrazovanii koordinat obobshchennykh vektorov napryazhenii i tokov trekhfaznoi sistemy elektrosnabzheniya (Ratios for the Transformations of Coordinates of Generalized Voltage and Current Vectors of Three-Phase Power Supply System), Kharkov: Kharkovsk. Politekh. Inst., 2009.Google Scholar
  9. 9.
    Kim, H., Blaabjerg, F., Back-Jensen, B., and Choi, J., Instantaneous power compensation in three-phase systems using p–q–r theory, IEEE Trans. Power Electron., 2002, vol. 17, no. 5.Google Scholar
  10. 10.
    German-Galkin, S.G., Virtual’nye laboratorii poluprovodnikovykh sistem v srede Matlab-Simulink (Virtual Laboratories of Semiconductor Systems in Matlab- Simulink Environment), St. Petersburg: Lan’, 2013.Google Scholar

Copyright information

© Allerton Press, Inc. 2018

Authors and Affiliations

  1. 1.Ulyanovsk State UniversityUlyanovskRussia

Personalised recommendations