Lowpass Butterworth - MapleSim Help
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Lowpass Butterworth

Low-pass Butterworth filter

 

Description

Parameters

Modelica Standard Library

Description

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

ysus={ωsω2+2ω+1nn evenωsω2+2ω+1n1ωsω+1otherwise

ω=2πf

Name

Description

Modelica ID

u

Real input signal

u

y

Real output signal

y

Parameters

Name

Default

Units

Description

Modelica ID

n

2

 

Order of filter

n

f

1

Hz

Cut-off frequency

f

Initial Values

No initialization

 

Type of initialization

initType

x10

zerosinteger0.5n

 

Initial or guess values of states 1

x1_start

x20

zerosinteger0.5n

 

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

0

 

Initial value of output (states are initialized in steady state if possible)

y_start

Modelica Standard Library

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