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

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

  1. Question 1 Integrating Water-Storage Tank — Transfer Function and Overflow Time
  2. Question 2 Feedback Loop — Closed-Loop Transfer Function and Sensor-Gain Stability Range
  3. Question 3 Two Interacting Tanks — Nonlinear ODEs and Linear State-Space Model
  4. Question 4 First-Order Thermometer — Response to a Ramping Bath
  5. Question 5 IMC Design for a Process with a RHP Zero and Dead Time
  6. Question 6 Second-Order Transfer Function — Standard Form and Response Regimes
  7. Question 7 Nyquist Stability of an Open-Loop-Unstable Process
  8. Question 8 Nyquist Diagram and Gain Margin of $1/(s(s+2)^2)$

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, state-space models and dead-time systems; D. R. Coughanowr & S. E. LeBlanc, Process Systems Analysis and Control (3rd ed., McGraw-Hill) — first-order tank/thermal dynamics, step/ramp 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.