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Mathematical Problems in Engineering
Volume 2016 (2016), Article ID 4125014, 12 pages
Research Article

Design and Optimisation of a Simple Filter Group for Reactive Power Distribution

AGH University of Science and Technology, al. Mickiewicza 30, 30-059 Krakow, Poland

Received 27 June 2016; Revised 20 October 2016; Accepted 9 November 2016

Academic Editor: Riccardo Caponetto

Copyright © 2016 Ryszard Klempka. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Basic methods are presented to design a simple filter group and a method of shaping the resultant of the filter group’s impedance characteristics (distribution of the characteristics’ extremes) and then project equations were transformed into a uniform, common form that addresses issues of the reactive power distribution between component filters. The analysis also takes into account the filters’ detuning from the reduced harmonics and quality factors of passive elements. Another important factor of the analysis considered was the power grid equivalent impedance affecting the filtration effectiveness. A criterion for the filter group’s filtration effectiveness evaluation was proposed and optimisation was completed for the reactive power distribution between separate filters in the function of the power grid’s equivalent inductance.