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23-Chem-A6 Process Dynamics and Control: May 2015

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

  1. Question 1 Linearising a Radiative (Calrod) Heater
  2. Question 2 Second-Order ODE — Standard Form and Stability vs. $k$
  3. Question 3 State-Space Model → Transfer Function and Step Response
  4. Question 4 Thermocouple Dynamics — Response to a Triangular Input
  5. Question 5 IMC Design for a First-Order-Plus-Dead-Time Process
  6. Question 6 Transport Delay + Integrating Tank — Level Control
  7. Question 7 Nyquist Stability of an Open-Loop-Unstable Process
  8. Question 8 PI Control of a First-Order Process — Stability and Step Response

Start with Question 1 →

National Exams / EGBC — May 2015 — 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. Most parts are quantitative (dynamic modelling, transfer functions, step/pulse/ramp responses, Routh and Nyquist stability, and IMC design); qualitative sketches are drawn as real figures where 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.