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23-Chem-A6 Process Dynamics and Control: December 2018

Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)

  1. Question 1 Stirred Tank with Thermal Solid — Model, Transfer Function, and Large-$UA$ Limit
  2. Question 2 State-Space Model — Transfer Function and Unit-Step Response
  3. Question 3 IMC Design for a First-Order-Plus-Dead-Time Process
  4. Question 4 Nyquist Analysis of an Open-Loop-Unstable Process
  5. Question 5 PI Control of a First-Order Process — Stability and Step Response
  6. Question 6 Second-Order ODE — Standard Form and Damping Regimes
  7. Question 7 Bode Plot and Gain Margin of a First-Order-Plus-Dead-Time Process
  8. Question 8 Draining Tank — Step and Impulse Response of the Level

Start with Question 1 →

Reference texts: D. E. Seborg, T. F. Edgar, D. A. Mellichamp & F. J. Doyle III, Process Dynamics and Control (4th ed., Wiley) — Laplace-domain modelling, linearisation, transfer functions, feedback stability, frequency response and IMC design; G. Stephanopoulos, Chemical Process Control: An Introduction to Theory and Practice (Prentice Hall) — Routh test, Nyquist criterion, dead-time systems and state-space models; D. R. Coughanowr & S. E. LeBlanc, Process Systems Analysis and Control (3rd ed., McGraw-Hill) — first-order tank/thermal dynamics, step/impulse response and block-diagram algebra. Standard control conventions (deviation variables; unity valve/sensor gains unless stated) are used throughout. This sitting is an open-book paper of eight problems of which any five constitute a complete exam; all eight are solved here.