DPS Blockset Demo Heated thin metal bar
Thin metal bar heating with four heating elements is modeled by lumped-input / distrinuted-output system. System dynamics is given by distributed transfer function of metal bar heating , corresponding to parabolic type partial differential equation and transfer functions of heating elements:
,
and
, where
is shaping unit of i-th distributed input quantity (i=1-4).
Contents
Scheme
Description
B - heated metal bar
P - environment at ends of bar
- heating element with transfer function
- heating element with transfer function
- heating element with transfer function
- heating element with transfer function
- input voltages of heating elements
Model
- constant shape on the interval [0,0.2]
- triangle shape on the interval [0.3,0.5]
- sinusoidal shape on the interval [0.6,0.8]
- general shape on the interval [0.7,1]
LDS block characteristics
Analysed system response at first heating element voltage step change.
Analysed system response at second heating element voltage step change.
Analysed system response at third heating element voltage step change.
Analysed system response at fourth heating element voltage step change.