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23-Chem-A6 Process Dynamics and Control: May 2014

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

  1. Question 1 Two Non-Interacting Tanks in Series
  2. Question 2 Draining Tank — Step and Impulse Response
  3. Question 3 Internal Model Control (IMC) Design
  4. Question 4 Nyquist Stability of an Open-Loop-Unstable Process
  5. Question 5 Thermocouple Dynamics — Response to a Triangular Bath Pulse
  6. Question 6 Second-Order ODE — Standard Form and Damping
  7. Question 7 CSTR with a Second-Order Reaction — Model and Transfer Function
  8. Question 8 Bode Diagram and Gain Margin of a Dead-Time Process

Start with Question 1 →

National Exams / EGBC — May 2014 — 04-Chem-A6 Process Dynamics & Control. Three-hour open-book examination; any non-communicating calculator is permitted. Eight problems are printed and any five constitute a complete paper (each worth 20%); all eight are solved below for completeness. The parts are quantitative throughout — tank and reactor modelling, transfer functions, step/impulse responses, IMC design, Nyquist and Bode stability — and every requested plot (IMC response, Nyquist locus, thermocouple response, Bode diagram) is drawn as a real figure.

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, transfer functions, feedback stability, frequency response and IMC design; G. Stephanopoulos, Chemical Process Control: An Introduction to Theory and Practice (Prentice Hall) — Nyquist criterion, Bode stability and dead-time systems; D. R. Coughanowr & S. E. LeBlanc, Process Systems Analysis and Control (3rd ed., McGraw-Hill) — first- and second-order tank dynamics, step/impulse response and linearisation of non-linear balances. Standard control conventions (deviation variables; unity valve/sensor gains unless stated) are used throughout.