Open AccessEstimation of the microalgae growth using the optimization approach
Author(s) -
Kim Sia Ling,
Siti Suhana Jamaian,
Abd Fathul Hakim Zulkifli
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1988/1/012017
Subject(s) - photobioreactor , parametric statistics , biomass (ecology) , optimal control , mathematics , mathematical optimization , statistics , ecology , biology
This study estimates the parameters value of the microalgae growth kinetic model which are Monod, Tessier and modified Moser model using the Levenberg-Marquardt method, by minimizing the sum of squares error. The optimal control problem for microalgae growth in photobioreactor is formulated and solved by the optimal input design method and taking into account the parametric sensitivities in order to obtain the control function. Hence, the fourth-order Runge-Kutta method is implemented to predict the microalgae biomass concentration by solving the state equations of the optimal control problem. The result shows the Tessier model best describes the growth of microalgae with the produced biomass concentration of weight 1.813 × 10 10 g .