aportes 1 modelamiento matematico industrisl
Post on 12-Jul-2016
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DESCRIPTION
Modelamiento Matematico
TRANSCRIPT
DISEÑO DE LOS CONTROLADORES PID
Modelo matemático
Función de transferencia
dm (t)dt
=pqi(t )
m (t )=pV (t )=pAh(t)
dm (t)dt
=pA dh(t)dt
pA dh(t)dt
=pq i(t)
dh(t)dt
= 1A
[qi(t )]
dh(t)dt
=h (t )= 1A
[qi(t )]
sH (s)= 1AQi(s)
H (s)Qi(s)
= 1As
Area del tanque:
A=π∗r2=3,1416∗22=12,56d2
La función de transferencia queda:
H(s )
Q(s )=
112,5664 S
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