Regularity of components in optimal design problems with perimeter penalization

2003 ◽  
Vol 16 (1) ◽  
pp. 17-29 ◽  
Author(s):  
Christopher J. Larsen
Keyword(s):  
Optimal Design ◽  
Design Problems ◽  
Perimeter Penalization

scholarly journals Relaxation for an optimal design problem with linear growth and perimeter penalization

2015 ◽  
Vol 145 (2) ◽  
pp. 223-268 ◽  
Author(s):  
Graça Carita ◽  
Elvira Zappale
Keyword(s):  
Optimal Design ◽  
Integral Representation ◽  
Linear Growth ◽  
Functions Of Bounded Variation ◽  
Optimal Design Problem ◽  
Design Problems ◽  
Admissible Solutions ◽  
Integral Energy ◽  
Perimeter Penalization ◽  
Limit Energy

This paper is devoted to the relaxation and integral representation in the space of functions of bounded variation for an integral energy arising from optimal design problems. The presence of a perimeter penalization is also considered in order to avoid non-existence of admissible solutions and, in addition, this leads to an interaction in the limit energy. More general models have also been taken into account.

Optimal Design of a Gas Turbine Cogeneration Plant by a Hierarchical Optimization Method With Parallel Computing

2018 ◽  
Author(s):  
Ryohei Yokoyama ◽  
Yuji Shinano ◽  
Yuki Wakayama ◽  
Tetsuya Wakui
Keyword(s):  
Optimal Design ◽  
Energy Supply ◽  
Optimization Method ◽  
Optimal Operation ◽  
Hierarchical Optimization ◽  
Cogeneration Plant ◽  
Design Problems ◽  
Computation Efficiency ◽  
Supply Systems ◽  
Energy Supply Systems

To attain the highest performance of energy supply systems, it is necessary to rationally determine types, capacities, and numbers of equipment in consideration of their operational strategies corresponding to seasonal and hourly variations in energy demands. Mixed-integer linear programming (MILP) approaches have been applied widely to such optimal design problems. The authors have proposed a MILP method utilizing the hierarchical relationship between design and operation variables to solve the optimal design problems of energy supply systems efficiently. In addition, some strategies to enhance the computation efficiency have been adopted: bounding procedures at both the levels and ordering of the optimal operation problems at the lower level. In this paper, as an additional strategy to enhance the computation efficiency, parallel computing is adopted to solve multiple optimal operation problems in parallel at the lower level. In addition, the effectiveness of each and combinations of the strategies adopted previously and newly is investigated. This hierarchical optimization method is applied to an optimal design of a gas turbine cogeneration plant, and its validity and effectiveness are clarified through some case studies.

scholarly journals A Modular Framework for the Modelling and Optimization of Advanced Chromatographic Processes

Processes ◽  
2020 ◽  
Vol 8 (1) ◽  
pp. 65 ◽  
Author(s):  
Johannes Schmölder ◽  
Malte Kaspereit
Keyword(s):  
Optimal Design ◽  
Case Studies ◽  
Design Problems ◽  
Column Model ◽  
Current Implementation ◽  
Systematic Development ◽  
Model Equations ◽  
Modelling And Optimization ◽  
Modelling Simulation ◽  
Modular Framework

A framework is introduced for the systematic development of preparative chromatographic processes. It is intended for the optimal design of conventional and advanced concepts that exploit strategies, such as recycling, side streams, bypasses, using single or multiple columns, and combinations thereof. The Python-based platform simplifies the implementation of new processes and design problems by decoupling design tasks into individual modules for modelling, simulation, assertion of cyclic stationarity, product fractionation, and optimization. Interfaces to external libraries provide flexibility regarding the choice of column model, solver, and optimizer. The current implementation, named CADET-Process, uses the software CADET for solving the model equations. The structure of the framework is discussed and its application for optimal design of existing and identification of new chromatographic operating concepts is demonstrated by case studies.

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