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

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M7.1. Background

Biochemical reactors are used in a wide variety of processes, from waste treatment to alcohol fermentation. Biomass (cells) consume substrate (sugar or waste chemicals) and produce more cells. A typical control and instrumentation diagram, with biomass concentration as the measured output, is shown in Figure M7-1.

Figure M7-1. Simplified control and instrumentation diagram for a biochemical reactor.

Model

The modeling equations for a bioreactor are

Equation M7.1

where the state variables are x1 = biomass (cell) concentration = mass ...

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