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Process Control: Modeling, Design, and Simulation by B. Wayne Bequette

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M10.4. Numerical Example

Consider a surge vessel that has a diameter of 1 m, and a maximum height of 2 m, with low- and high-level alarms set at 20% and 80%. Also, assume that the height setpoint is 1 meter, and the steady-state flow rate is 0.5 m3/min. The constant cross-sectional area is then 0.785 m2. Since the steady-state flow rate is 0.5 m3/min, assume that the inlet flow rate can vary between 0 and 1 m3/min.

You should show that the process and load disturbance transfer functions are

Since the physical variable minimum and maximum alarm heights are 0.4 and 1.6 m, respectively, in terms of deviation variables, the minimum and maximum heights ...

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