Post on 16-Nov-2020
Temperature Modelling and Control of the Biomass Pretreatment Process Remus Mihail Prunescu NPCW-17 26 January 2012
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Agenda π πππ
ππ‘+ π»π ππππ = π»π Ξππ»π + ππ
Temperature
Modelling
Questions?
Classical and Advanced Control*
Project Description
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π’π π = Ξπ‘[ 1 β π π£π
π+1 + ππ£ππ] The Inbicon Demonstration Plant
Process Description I
Bio-Ethanol (144 kg) C5 Molasses (371 kg) Bio-Pellets (435 kg)
End Products
Pretreatment
Thermal Reactor Steam
Wheat Straw (1 ton)
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The Thermal Reactor Process Description II
π΄ = ππ2
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Preliminary Analysis Temperature Modelling I
π π₯ = π0 + ππ cosπππ₯
πΏ+ ππ sin
πππ₯
πΏ
β
π=1
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Computational Fluid Dynamics i Temperature Modelling II
Heat Convection-Diffusion Equation:
π(πππ)
ππ‘+ π»π Ξππ’π = π»π Ξππ»π + ππ
ππππ
ππ‘+ πππ’π₯
ππ
ππ₯=
π
ππ₯π ππ
ππ₯+
π
ππ¦π ππ
ππ¦+ ππ
: : β«
π
πππ+1ππ
π+1 = πππππ
π + ππΈπππΈ
π + πππ ππ
π +
+πππππ
π + πππππ
π + ππΈπ+1ππΈ
π+1 + πππ+1ππ
π+1 +
+πππ+1ππ
π+1 + πππ+1ππ
π+1 + ππ’
ππ,π,π,πΈ,π = π(π, π·, πΉ)
π2 + π2 = π2
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Computational Fluid Dynamics ii Temperature Modelling II
πππ+1 + ππ
π+1
πππ+1
πππ+1 = ππ
π β πππ
πππ
πππ +
+ππΈπππΈ
π + πππππ
π + πππ ππ
π + ππΈπ+1ππΈ
π+1 +
+πππ+1ππ
π+1 + πππ+1ππ
π+1 +
+ππ’ + 2ππ πππ + ππ
π+1
ππ’
Boundary Conditions:
ππ π₯ ππ+1 = πππ₯ π
π + πππ’ππ
State Space Model:
π₯ + π π = π
ππ₯πππβπ
π
π=0
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Simulation Results Temperature Modelling III ππ₯ = 1 +
π₯
1!+
π₯2
2!+
π₯3
3!+ β―
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PID Control (Results) Classical and Advanced Control I
πΆ π = πΎπ +πΎπΌ
π + πΎπ·π
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LQRi (Results) Classical and Advanced Control II
π’ = βπΎπ₯
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MPC (Results) Classical and Advanced Control III
minΞππ
Ξ¦ =1
2 π¦ π+1+π|π β ππ+1+π|π π
2πβ1
π=0
+1
2 Ξπ’π+π|π π
2πβ1
π=0
π’min < π’π+π|π < π’max
Ξπ’min < Ξπ’π+π|π < Ξπ’max
1 + 2 = 3
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:-??!??-:
Questions? Something grey and funny that fits on a line :-?