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Applied Process Control by Michael Mulholland

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8Problems – Stability and Quality of Control

P_8.1 8.2.1

A liquid passes through a flow-smoothing capacitor which uses a gas cushion to smooth out sudden variations in the feed flow.

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When the valve position x is varied, the mass of liquid in the long feed pipeline accelerates or decelerates, with the momentum in the pipeline then causing a second-order response of the flow f as it enters the vessel against the spring resistance of the gas cushion.

The behaviour of this system near the plant operating point is represented by the transfer function:

  1. Obtain the gain, time constant and damping factor of this open-loop system.
  2. Obtain the ...

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