Lowpass Butterworth
Low-pass Butterworth filter
Description
Parameters
Modelica Standard Library
The Lowpass Butterworth component models an nth order low-pass filter with Butterworth characteristics. Unlike the Critical Damping filter design, the Butterworth filter retains its shape, even at high order. The implemented filter is a series of second order filters and a first order filter. The transfer function component is
y⁡su⁡s={ωsω2+2ω+1nn evenωsω2+2ω+1n−1⁢ωsω+1otherwise
ω=2⁢π⁢f
Name
Modelica ID
u
Real input signal
y
Real output signal
Default
Units
n
2
Order of filter
f
1
Hz
Cut-off frequency
Initial Values
No initialization
Type of initialization
initType
x10
zeros⁡integer⁡0.5⁢n
Initial or guess values of states 1
x1_start
x20
Initial or guess values of states 2
x2_start
xr0
0
Initial or guess value of real pole for uneven order otherwise this value is null
xr_start
y0
Initial value of output (states are initialized in steady state if possible)
y_start
The component described in this topic is from the Modelica Standard Library. To view the original documentation, which includes author and copyright information, click here.
See Also
Continuous Signal Blocks
Signal Blocks
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