Simulation, Parameter Estimation and Optimization of an Industrial-Scale Evaporation System - Simulation and Modeling Methodologies, Technologies and Application - page 77

350

(opt) = 6.52 kg/s

V 1

340 (opt) = 0.72 kg/s

V 2

k (opt) = 3.63 kW/m 2 K

330

320

310

300

0 100 200 300 400 500

t [s]

Fig. 9. Parameter estimation result (solid) and measurement (cross)

Fig. 10. Objective function values at the solution as a function of the smoothing parameter

series T evap and p evap together does not improve the result. Figure 9 shows the op-
timization result for a particular realization of 'measurement data' of the temperature
with σ =0 . 5 K . The optimal parameter values are found to be k ( opt ) =3 . 63 kW/m 2 K,
V ( opt 1 =6 . 52 kg/s and V ( opt 2 =0 . 72 kg/s .
Finally, we investigate the dependence of the optimization result on the smoothing
parameter based on the measurement of the temperature. In order to avoid the interfer-
ence with other effects, the measurement error is set to σ =0 and only the valve for
the liquid inflow V 1 is estimated. In this situation the parameter value is found very pre-
cisely ( V 1 =6 . 98 kg/s ). The objective function values at the solution clearly decrease