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

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

  1. Question 1 Stirred Tank with a Solid Thermal Mass
  2. Question 2 State-Space Model — Transfer Function and Step Response
  3. Question 3 IMC Design for a Process with a RHP Zero and Dead Time
  4. Question 4 Nyquist Stability of an Open-Loop-Unstable Process
  5. Question 5 Ultimate Gain of a Third-Order Loop with Sensor Delay
  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 Bode Plot and Gain Margin of an FOPDT Loop

Start with Question 1 →

National Exams / EGBC — December 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 — two-capacitance thermal modelling, state-space transfer functions, IMC design with a right-half-plane zero, Nyquist stability of an open-loop-unstable plant, ultimate gain with sensor dead time, second-order damping regimes, a non-linear CSTR, and Bode gain-margin design — and every requested plot (step response, IMC servo response, Nyquist locus, damping family, 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 and Bode stability, dead-time systems and controller design; D. R. Coughanowr & S. E. LeBlanc, Process Systems Analysis and Control (3rd ed., McGraw-Hill) — first- and second-order dynamics, linearisation of non-linear balances. Standard control conventions (deviation variables; unity valve/sensor gains unless stated) are used throughout.