Project Details
Projekt
Modeling, simulation and optimization of process chains
Applicant
Professor Dr. Günter Leugering
Subject Area
Mathematics
Term
from 2015 to 2020
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 274584161
The sensitivity analysis of process chains with respect to time dependent controls was performed within the first funding period of sub-project C5 in the second period of the priority program. This included an extension of the necessary mathematical existence-. uniqueness-, and regularity-theory. Process chains are described mathematically by non-linear non-local partial differential equations. The theoretical results for the derivative based optimization were exemplary implemented for the spray granulation process with screened and milled feedback. The focus of the proposed funding period lies on three aspects of the comprehensive optimization of process chains:First the mathematical theory for the underlying equations of process chains is extended. The already analyzed non-locality in the dispersive properties is extended to temporally non-local source terms within the equations. These terms occur in process chains with delayed feedback and are thus relevant within the priority program. Moreover non-linear controls of integral kernels will be considered which play for example an important role for controlling the milling velocity within a feedback loop in a process chain. Parallel to the theoretical work an optimization module within the DYSSOL framework will be implemented. Thus the analytical sensitivities can be used to compute optimal controls for given flowsheets.The optimization of specific process chains will be realized in collaborations (Z,A3,A8,C3,C4) within the priority program. Here a problem specific objective functional has to be modeled to derive its sensitivities with respect to desired control variables. Furthermore the range of validity of the underlying models has to be defined to ensure the predictive character of these models during optimization. Hence at the end of the funding period a sensitivity based optimization algorithm within the DYSSOL framework will be available which can be applied for optimizing various process chains.
DFG Programme
Priority Programmes
Co-Investigators
Professor Dr. Falk Hante; Professor Dr. Michael Stingl
