DPS Blockset Demo Heated of glass melting furnace

Heating of glass melting furnace with gas burners is modeled by lumped-input / distrinuted-output system. System dynamics is given by finite elements method numerical structures of furnace $\Omega$, corresponding to parabolic type partial differential equation and transfer functions of burners: $SA_{i}(s)$, $SG_{i}(s)$ and $T_{i}(x,y)$, where $T_{i}(x,y)$ is shaping unit of i-th distributed input quantity (i=1-4).

Contents

Technological scheme

Description

$Y(x,y)$ - temperature field in arch of the melting part of the glass furnace

$U_{i}(x,t)$ - temperature field given by acting of i-th burner

$U_{i}(t)$ - control quantity in the level of servo-unit

$T_{1-11}$ - temperature sensors

Scheme

Model

Shapings units ${T_{i}(x,y)}_{i}$ have pyramidal form

LDS block characteristics

Analysed system response at gas flow $U_{1}$ step change on first burner.

Analysed system response at gas flow $U_{2}$ step change on second burner.

Analysed system response at gas flow $U_{3}$ step change on third burner.

Analysed system response at gas flow $U_{4}$ step change on fourth burner.