MET 433 14 Mar 12 Model of Stirred Tank Heater Goal set up models to simulate and see effect of tuning parameters 1 st principles Chaps 3 6 transfer functions just looked at this a bit ID: 509077
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Slide1
1
CBE
/ MET 433
14 Mar 12Model of Stirred Tank Heater
Goal: set up models to simulate and see effect of tuning parameters
1
st
principles (Chaps 3 – 6);
transfer functions (just looked at this a bit)
process simulators (
AspenPlus
Dynamics; CBE 450/550 class)Slide2
2
+
+
-
+
energy balance on tank w/o controlStirred Tank Heater (w/ PI Controller)
PI controller equationSlide3
3
Let:
Stirred Tank Heater (w/ PI Controller)Slide4
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ODE Solver (POLYMATH; MATLAB; MATHCAD;
etc)
Polymath code:
step= if (t<1) then (0) else (1)Ti = 0 + step * 10Slide5
5
ODE Solver: POLYMATH
Polymath code (stirred tank heater):d(C) / d(t) = -1/tau*C + KT/tau*Ti + K1KT/tau*M
C(0) = 0d(errsum) / d(t) = R – Cerrsum(0) = 0tau = 5 # min
KT = 0.5 # %TO/degCK1KT = 0.8 # %TO/%COR = 0 # set point stays sameM = Kc*(R-C) + Kc/tauI*errsumstep = if (t<1) then (0) else (1)Ti = 0 + step * 10 # step change disturbanceKc = 1.3 # %CO/%TOtauI = 10 # mint(0) = 0t(f) = 100 # minIn Class Demo / Exercise:Polymath DemonstrationBuild model in Polymath (ODE solver)Solve; graph C vs tExplore:Try P-only controllerAdjust Kc and tauI to get QADTry different Kc/tauI setsCan you get underdamped response?What is response to step change in R(t); holding Ti at the SS value?Slide6
6
CBE
/ MET 433
Model of Stirred Tank Heater
Goal: set up models to simulate and see effect of tuning parameters
1
st
principles (Chaps 3 – 6);
transfer functions (just looked at this a bit)
process simulators (
AspenPlus
Dynamics; CBE 450/550 class)Slide7
7
+
+
-
+Stirred Tank Heater (transfer function simulator)
Transfer function simulator: Loop Pro Developer (Control Station) In Class Demo / Exercise:Build model in Loop Pro Developer (Custom Process)Turn on PI Controller and set Kc and tauIExplore:Change load (Ti) up by 10 to 60%; observe system responseChange back to 50%; observe responseTry P-only controllerAdjust Kc and tauI to get QADTry different Kc/tauI settingsCan you get underdamped response?What is response to step change in R(t) to 60%?Slide8
8
CBE
/ MET 433
Model of Stirred Tank Heater
Goal: set up models to simulate and see effect of tuning parameters
1
st
principles (Chaps 3 – 6);
transfer functions (just looked at this a bit)process simulators
(
AspenPlus
Dynamics; CBE 450/550 class)Slide9
9
SAVE your Polymath and Loop Pro Developer Models !!