Process Control: Modeling, Design, and Simulation

M10.2. Process Model

Here, we develop a process model for the vessel in Figure M10-1a, which is a vertically oriented cylinder that can be assumed to have a constant cross-sectional area. The development of a model for the vessel in Figure M10-1b is left as an exercise for the reader. A material balance around the vessel, assuming constant density and cross-sectional area (A), yields

Equation M10.1

The deviation variables for the manipulated input, load disturbance, and measured output are

Equation M10.2

The process and load disturbance transfer ...