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

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

  1. Question 1 Inverse Laplace Transform and Stability
  2. Question 2 Linearising a Radiative Heater
  3. Question 3 Triple-Lag Loop with a Dead-Time Sensor — Stability Limit and Margins
  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 PI Control of a First-Order Process — Stability and Step Response
  7. Question 7 Frequency Response of an FOPDT Loop — Bode Diagram and Gain-Margin Design
  8. Question 8 Nyquist Stability of an Open-Loop-Unstable Process

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 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. This December 2017 sitting is an open-book paper of eight problems of which any five constitute a complete exam; all eight are solved here.