M7.2. Steady-State and Dynamic Behavior
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.
Steady-State Conditions
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 | |
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