Designing a group of single-branch filters taking into account their mutual influence

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Single-branch filters are still popular and are commonly used for power quality improvement purposes. Analysis of a single-branch filter is a relatively simple task. Although individual filters tuned to specific harmonics can be easily designed, after connecting them into a group it turns out that the capacitance and inductance mutually influence each other, distorting the resulting frequency characteristics. This article presents a matrix method for design a group of single-branch filters, so that the resultant frequency characteristic satisfies the design requirements including the requirements for location of the frequency characteristic maxima. Designer indicates the frequencies of the parallel resonances

[1] Pasko M., Lange A. Influence of arc and induction furnaces on the electric energy quality and possibilities of its improvement. Electrical Review 06: 67-74 (2009).

[2] Badrzadeh B., Smith K.S., Wilson R.C., Designing Passive Harmonic Filters for Aluminum Smelting Plant. IEEE Transactions on Industry Applications 47(2) (2011).

[3] Gerçek C.Ö., Ermis M., Ertas A., Köse K.N., Ünsar Ö., Design, Implementation, and Operation of a New C-Type 2nd Harmonic Filter for Electric Arc and Ladle Furnaces. IEEE Transactions on Industry Applications. 47(4): 1545-1557 (2011).

[4] Lange A., Pasko M., Selected problems of power energy quality in coal mines and steelworks. Electrical Review 6: 150-153 (2012).

[5] Lange A., Pasko M., Reactive power compensation and filtration of higher harmonics generated to the network by arc furnaces. Electrical Review 10a: 15-18 (2012).

[6] Dugan R., McGranaghan M., Electrical power systems quality. McGraw-Hill (2002).

[7] Hanzelka Z., Series and parallel resonance, Handbook of power quality. red. Angelo Baggini. John Wiley & Sons Ltd (2008).

[8] Klempka R., Hanzelka Z., Varetsky Y., Bank Harmonic Filters Operation in Power Supply System - Cases Studies. Power Quality Issues, Ahmed Zobaa (ed.), InTech, DOI: 10.5772/53425, (2013).

[9] Nassif A.B., Xu W., Freitas W., An Investigation on the Selection of Filter Topologies for Passive Filter Applications. IEEE Transactions On Power Delivery 24(3) (2009).

[10] Pasko M., Lange A., Compensation of the reactive power and filtration of high harmonics by means of passive LC filters. Electrical Review 4: 126-129 (2010).

[11] Klempka R., Double tuned filters designed by using genetic algorithm. JUEE Electrical Power Quality and Utilisation, Kraków, 9(2): 39-62 (2003) (in polish).

[12] Klempka R., A New Method for the C-Type Passive Filter Design. Electrical Review 7a, pp. 277-281 (2012).

[13] Klempka R., Designing a group of single-branch filters, Electrical Power Quality and Utilisation. EPQU’03, 17-19 September, Kraków (2003).

[14] Klempka R., Passive Power Filter Design Using Genetic Algorithm. Electrical Review 05: 294-301 (2013).

Archives of Electrical Engineering

The Journal of Polish Academy of Sciences

Journal Information

CiteScore 2016: 0.71

SCImago Journal Rank (SJR) 2016: 0.238
Source Normalized Impact per Paper (SNIP) 2016: 0.535

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