Typical transfer functions
Information
Description
This sub-package contain a list of trasfer functions that represent a variety of industrial processes.
Extends from Modelica.Icons.Package (Icon for standard packages).
Package Content
Name | Description |
TypicalTF
| This model contains a set of typical process transfer functions |
This model contains a set of typical process transfer functions
Information
Description
This model is a container of different trasfer functions that can model the typical processes.
The parameters of each TF (listed in a table below), can be modified in order to adapt each process to the user's needs.
Integrator |
Y(s) 1
---- = -----
U(s) 5s
|

Integrator + delay |
Y(s) 1 -2s
---- = ----- e
U(s) 5s
|

First Order |
Y(s) 1
---- = --------
U(s) 1 + 5s
|

First Order + delay |
Y(s) 1 -2s
---- = -------- e
U(s) 1 + 5s
|

Fast Slow |
Y(s) 1 + 5.8s
---- = --------------
U(s) (1 + 6s)(1+s)
|

Overshooting |
Y(s) 1 + 8s
---- = ---------------
U(s) (1 + 5s)(1+2s)
|

Undershooting |
Y(s) 1 - 5.5s
---- = ---------------
U(s) (1 + 5s)(1+2s)
|

Complex Poles |
Y(s) 1
---- = --------------------
U(s) 1 + 1.2 s + 0.025s
|

Parameters
Name | Description |
First Order |
mu_FO | Gain |
T_FO | Time constant |
First Order + Delay |
mu_FOD | Gain |
T_FOD | Time constant |
delay_FOD | Time delay |
Integrator |
mu_i | Gain |
Integrator + Delay |
mu_iD | Gain |
delay_iD | Time delay |
OverShooting system |
mu_OS | Gain |
Tau_OS | Zero's time constant |
T1_OS | Dominant pole time constant |
T2_OS | Second pole time constant |
UnderShooting system |
mu_US | Gain |
Tau_US | Zero's time constant |
T1_US | Dominant pole time constant |
T2_US | Second pole time constant |
Complex poles |
mu | Gain |
xi | Damping coefficient |
omega | Natural frequency |
Fast-Slow system |
mu_FS | Gain |
Tau_FS | Zero's time constant |
T1_FS | Dominant pole time constant |
T2_FS | Second pole time constant |
Connectors
Name | Description |
FO_u | First Order input |
FO_y | First Order output |
FOD_u | First Order+ Delay input |
FOD_y | First Order + Delay output |
i_u | Integrator input |
i_y | Integrator output |
iD_u | Integrator + Delay input |
iD_y | Integrator + Delay output |
OS_u | OverShooting input |
OS_y | OverShooting output |
US_u | UnderShooting input |
US_y | UnderShooting output |
Osc_u | Complex Poles input |
Osc_y | Complex Poles output |
FS_u | Fast Slow input |
FS_y | Fast Slow output |
Automatically generated Mon May 21 13:34:16 2012.