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1

Optimisation of operating conditions in fed-batch baker’s yeast fermentation

Atasoy I., Yuceer M., Berber R.

Chemical and Process Engineering

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2013

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Vol. 34, nr 1

175--186

EN

Saccharamyces cerevisia known as baker’s yeast is a product used in various food industries. Worldwide economic competition makes it a necessity that industrial processes be operated in optimum conditions, thus maximisation of biomass in production of saccharamyces cerevisia in fedbatch reactors has gained importance. The facts that the dynamic fermentation model must be considered as a constraint in the optimisation problem, and dynamics involved are complicated, make optimisation of fed-batch processes more difficult. In this work, the amount of biomass in the production of baker’s yeast in fed-batch fermenters was intended to be maximised while minimising unwanted alcohol formation, by regulating substrate and air feed rates. This multiobjective problem has been tackled earlier only from the point of view of finding optimum substrate rate, but no account of air feed rate profiles has been provided. Control vector parameterisation approach was applied the original dynamic optimisation problem which was converted into a NLP problem. Then SQP was used for solving the dynamic optimisation problem. The results demonstrate that optimum substrate and air feeding profiles can be obtained by the proposed optimisation algorithm to achieve the two conflicting goals of maximising biomass and minimising alcohol formation.

2

A generalized varying-domain optimization method for fuzzy goal programming with priorities based on a genetic algorithm

Li S. Y., Hu C. F., Teng C. J.

Control and Cybernetics

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2004

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Vol. 33, no 4

633-652

EN

This paper proposes a generalized domain optimization method for fuzzy goal programming with different priorities. According to the three possible styles of the objective function, the domain optimization method and its generalization are correspondingly proposed. This method can generate the results consistent with the decision-maker's priority expectations, according to which the goal with higher priority may have higher level of satisfaction. However, the reformulated optimization problem may be nonconvex for the reason of the nature of the original problem and the introduction of the varying-domain optimization method. It is possible to obtain a local optimal solution for nonconvex programming by the SQP algorithm. In order to get the global solution of the new programming problem, the co-evolutionary genetic algorithm, called GENOCOP III, is used instead of the SQP method. In this way the decision-maker can get. the optimum of the optimization problem. We demonstrate the power of this proposed method based on genetic algorithm by illustrative examples.

3

Matematyczna metoda wielokryterialnej optymalizacji silników komutatorowych małej mocy

Puternicki P., Rudnicki M.

Prace Instytutu Elektrotechniki

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2000

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Z. 204

45-75

PL

W artykule podano główne cechy matematycznej metody optymalizacji (SQP) silników komutatorowych małej mocy, zaprogramowanej w środowisku Matlab. Wyodrębniono w strukturze programu proces optymalizacji i obliczenia projektu postprocesorem. Podano funkcje celu o 10 parametrach decyzyjnych oraz zbiór ograniczeń (46) prostych i uwikłanych i określono ich wpływ na realność projektu. Dołączono sesje przykładowe optymalizacji jedno i wielokryterialnej dla różnych rankingów składowych funkcji celu.

EN

Firstly, a mathematical optimization method based on sequential quadratic programming (SQP) as refers to optimal design of small commutator motors is outlined. Then, we describe the environment chosen for that purpose: Matlab packaage along with Optimization Toolbox. Elaborated optimal design system PROJMAT 2000 and its structure is presented in detail. We give performance criteria used in optimization discussing applied constraints as well. Two exemplary sessions for single- and multicriterion optimization are included. The corresponding optimal magnetic circuits geometrie with magnetization characteristics are attached. Final conclusions complete the paper.