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# Industrial Control Systems - Chemical Systems

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### Industrial Control Systems - Chemical Systems

1. 1. Industrial Control Behzad Samadi Department of Electrical Engineering Amirkabir University of Technology Winter 2009 Tehran, Iran Behzad Samadi (Amirkabir University) Industrial Control 1 / 7
2. 2. Chemical Systems Variables: Q: volumetric ﬂow (m3/s) C: concentration (mol/m3) V : volume (m3) [Luyben, 1996] and [Chau, 2002] Behzad Samadi (Amirkabir University) Industrial Control 2 / 7
3. 3. Continuous Stirred-Tank Reactor C ,Q C ,Qin in 1 1 C ,Q1 1 C V1 1 Behzad Samadi (Amirkabir University) Industrial Control 3 / 7
4. 4. Continuous Stirred-Tank Reactor C ,Q C ,Qin in 1 1 C ,Q1 1 C V1 1 Mass balance: d(C1V1) dt = CinQin − C1Q1 Behzad Samadi (Amirkabir University) Industrial Control 3 / 7
5. 5. Continuous Stirred-Tank Reactor C ,Q C ,Qin in 1 1 C ,Q1 1 C V1 1 Mass balance: d(C1V1) dt = CinQin − C1Q1 Assuming V1 is constant and Qin = Q1 = Q, V1 dC1 dt = CinQ − C1Q [Chau, 2002] Behzad Samadi (Amirkabir University) Industrial Control 3 / 7
6. 6. Two CSTRs in Series C ,Qin in C ,Q 1 1 C V1 1 C ,Q2 2 C ,Q C V2 2 Behzad Samadi (Amirkabir University) Industrial Control 4 / 7
7. 7. Two CSTRs in Series C ,Qin in C ,Q 1 1 C V1 1 C ,Q2 2 C ,Q C V2 2 Dynamic equation: Assuming Qin = Q1 = Q2 = Q V1 dC1 dt = CinQ − C1Q Behzad Samadi (Amirkabir University) Industrial Control 4 / 7
8. 8. Two CSTRs in Series C ,Qin in C ,Q 1 1 C V1 1 C ,Q2 2 C ,Q C V2 2 Dynamic equation: Assuming Qin = Q1 = Q2 = Q V1 dC1 dt = CinQ − C1Q V2 dC2 dt = C1Q − C2Q [Chau, 2002] Behzad Samadi (Amirkabir University) Industrial Control 4 / 7
9. 9. Component balance ﬂow of moles of jth component into system - ﬂow of moles of jth component out of system + rate of formation of moles of jth component from chemical reactions = time rate of change of moles of jth component inside system [Luyben, 1996] Behzad Samadi (Amirkabir University) Industrial Control 5 / 7
10. 10. Component balance Component A reacts irreversibly and at a speciﬁc reaction rate k to form product, component B. A k ⇀ B Behzad Samadi (Amirkabir University) Industrial Control 6 / 7
11. 11. Component balance Component A reacts irreversibly and at a speciﬁc reaction rate k to form product, component B. A k ⇀ B Flow of A into system = CA0Q0 Behzad Samadi (Amirkabir University) Industrial Control 6 / 7
12. 12. Component balance Component A reacts irreversibly and at a speciﬁc reaction rate k to form product, component B. A k ⇀ B Flow of A into system = CA0Q0 Flow of A out of system = CAQ Behzad Samadi (Amirkabir University) Industrial Control 6 / 7
13. 13. Component balance Component A reacts irreversibly and at a speciﬁc reaction rate k to form product, component B. A k ⇀ B Flow of A into system = CA0Q0 Flow of A out of system = CAQ Rate of formation of A from reaction = −kVCA Behzad Samadi (Amirkabir University) Industrial Control 6 / 7
14. 14. Component balance Component A reacts irreversibly and at a speciﬁc reaction rate k to form product, component B. A k ⇀ B Flow of A into system = CA0Q0 Flow of A out of system = CAQ Rate of formation of A from reaction = −kVCA Behzad Samadi (Amirkabir University) Industrial Control 6 / 7
15. 15. Component balance Component A reacts irreversibly and at a speciﬁc reaction rate k to form product, component B. A k ⇀ B Flow of A into system = CA0Q0 Flow of A out of system = CAQ Rate of formation of A from reaction = −kVCA d(CAV ) dt = CA0Q0 − CAQ − kVCA [Luyben, 1996] Behzad Samadi (Amirkabir University) Industrial Control 6 / 7
16. 16. Heated Stirred Tank Behzad Samadi (Amirkabir University) Industrial Control 7 / 7
17. 17. Heated Stirred Tank Energy balance: ρCpV dT dt = ρCpQ(Tin − T) + UA(TH − T) T: temperature ρ: ﬂuid density Cp: heat capacity V : volume U: heat transfer coeﬃcient A: heat transfer area [Chau, 2002] Behzad Samadi (Amirkabir University) Industrial Control 7 / 7
18. 18. Chau, P. C. (2002). Process Control: A First Course with MATLAB (Cambridge Series in Chemical Engineering). Cambridge University Press, 1 edition. Luyben, W. L. (1996). Process Modeling, Simulation, and Control for Chemical Engineers. McGraw-Hill Companies, 2nd edition. Behzad Samadi (Amirkabir University) Industrial Control 7 / 7