We use the following parameters for a substrate inhibition model for this control study:
The steady-state dilution rate is Ds = 0.3 hr-1 (and the residence time is 3.33 hours) and the feed substrate concentration is x2fs = 4.0 g/liter.
The nonlinear process has the following three steady-state solutions (operating points) to Equation M7.1 for a dilution rate of 0.3 hr-1:
|Steady state||Biomass concentration||Substrate concentration stability|
|Equilibrium 1—wash out||x1s = 0||x2s = 4.0||stable|
|Equilibrium 2—nontrivial||x1s = 0.995103||x2s = 1.512243||unstable|
|Equilibrium 3—nontrivial||x1s = 1.530163||x2s|