Design of a Passive Second Order High-Pass Filter

Design of a Passive Second Order High-Pass Filter with cut-off Frequency of 400Hz
By (name)
Institutional Affiliation

Introduction
Whereas low pass filter allows only signals whose frequency is less than the cut-off point fc to
pass through, a high pass filter only allow signals whose frequencies are higher than the cut-off
to pass through1. It therefore eliminate all the frequencies of the waveforms that are lower than
fc. This paper involves a design of a passive high pass filter. The designed filter is made up of
purely passive elements (R, L and C). After the design, its functionality is evaluated by
simulating frequency analysis and response.
The design
Generally, an RLC high-pass filter (second order) takes a circuit is shown below
The design process involves carefully choosing the values of R, L and C.
The cutoff frequency =400Hz
Cuff-off frequency
Fc= 1
2 π √ LC
Therefore
400= 1
2 π √LC
Using a capacitor value
C=100 μ
Therefore
400= 1
2 π √L ×100 ×10−6
From which the value of L is computed as
L=1.5 mH
The designed filter is as shown below;
1 Remus Narcis Beres et al., “A Review of Passive Power Filters for Three-Phase Grid-
Connected Voltage-Source Converters,”
IEEE Journal of Emerging and Selected Topics in
Power Electronics 4, no. 1 (March 1, 2016): 54–69,
https://doi.org/10.1109/JESTPE.2015.2507203.