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23-Chem-A6 Process Dynamics and Control: December 2013

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

  1. Question 1 Calrod Radiant Heater — Linearisation & Controller Sign
  2. Question 2 Triple-Lag Loop with a Sensor — Ultimate Gain, Bode, Margins
  3. Question 3 State-Space Model → Transfer Function & Step Response
  4. Question 4 Thermocouple Lag — Response to a Triangular Input
  5. Question 5 IMC Design for a First-Order-plus-Dead-Time Process
  6. Question 6 Transport Delay in a Pipe Feeding an Integrating Tank
  7. Question 7 Nyquist Stability of an Open-Loop-Unstable Process
  8. Question 8 PI Control of a First-Order Process

Start with Question 1 →

National Exams / EGBC — December 2013 — 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 almost entirely quantitative — linearisation, transfer functions, step/pulse/ramp responses, Routh and frequency-response (Bode/Nyquist) stability, and IMC design — and every boxed number.

Reference texts: D. E. Seborg, T. F. Edgar, D. A. Mellichamp & F. J. Doyle III, Process Dynamics and Control (4th ed., Wiley) — linearisation, transfer functions, frequency response, IMC design; G. Stephanopoulos, Chemical Process Control: An Introduction to Theory and Practice (Prentice Hall) — Routh array, Bode and Nyquist stability, dead-time systems; D. R. Coughanowr & S. E. LeBlanc, Process Systems Analysis and Control (3rd ed., McGraw-Hill) — first-order dynamics and step/pulse/ramp response. Standard control conventions are used (deviation variables about a steady state; unity valve/sensor gains unless stated).