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23-Chem-A6 Process Dynamics and Control: May 2017

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

  1. Question 1 Transport Delay + Integrating Tank — Level Control
  2. Question 2 Frequency Response of an FOPDT Loop — Bode Diagram and Gain-Margin Design
  3. Question 3 PI Control of a First-Order Process
  4. Question 4 Liquid-Level Dynamics — Resistance Valve vs. Exit Pump
  5. Question 5 IMC Design for an FOPDT Process — Controller Form and Servo Response
  6. Question 6 Second-Order ODE — Standard Form, Stability and Damping
  7. Question 7 Second-Order-Reaction CSTR — Model and Transfer Function
  8. Question 8 Nyquist Stability of an Open-Loop-Unstable First-Order Process

Start with Question 1 →

National Exams / EGBC — May 2017 — 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 paper is entirely quantitative — dynamic modelling, transfer functions, step/ramp responses, Routh and Nyquist stability, frequency-response (Bode) design and IMC — and qualitative sketches are drawn as real figures wherever the paper asks for them.

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 and dead-time systems; D. R. Coughanowr & S. E. LeBlanc, Process Systems Analysis and Control (3rd ed., McGraw-Hill) — first-order thermal/level dynamics, step/ramp/pulse response and block-diagram algebra. Standard control conventions (deviation variables; unity valve/sensor gains unless stated) are used throughout.