A lumped parameter chemical–physical model for tubular photobioreactors

Abstract This work presents a dynamic lumped parameter model for microalgal production in tubular photobioreactors. The model is made up of fluid-dynamic processes, mass transfers and biological phenomena, all of them being based on chemical, physical, and biological principles. The aim of this work is to develop a simplified model including the main non-linear dynamics of the process, so that a trade-off between complexity and performance can be found. The model can be used for advanced control purposes, as a tool for the design and operation optimization of photobioreactors, or even as a supervision system of unmeasured variables. The characteristic parameters of the model were calibrated and validated under different conditions of solar radiation, using experimental data from a pilot facility consisting in an outdoor tubular photobioreactor. Furthermore, the proposed model is compared to other existing models (linear, distributed parameters and NARMAX) through a set of detailed simulations.

[1]  E. Molina Grima,et al.  A mathematical model of microalgal growth in light-limited chemostat culture , 1994 .

[2]  F. G. Acién,et al.  Production cost of a real microalgae production plant and strategies to reduce it. , 2012, Biotechnology advances.

[3]  Y. Chisti.  Biodiesel from microalgae. , 2007, Biotechnology advances.

[4]  F. G. Acién,et al.  Dynamic model of microalgal production in tubular photobioreactors. , 2012, Bioresource technology.

[5]  The active uptake of carbon dioxide by the marine diatoms Phaeodactylum ticornutum and Cyclotella sp. , 1995 .

[6]  Y. Chisti.  Biodiesel from microalgae beats bioethanol. , 2008, Trends in biotechnology.

[7]  P. Talbot,et al.  Absorption of CO2 in algal mass culture systems: A different characterization approach , 1991, Biotechnology and bioengineering.

[8]  Teresa M. Mata,et al.  Microalgae for biodiesel production and other applications: A review , 2010 .

[9]  C. Lan,et al.  Closed photobioreactors for production of microalgal biomasses. , 2012, Biotechnology advances.

[10]  P. Spolaore,et al.  Commercial applications of microalgae. , 2006, Journal of bioscience and bioengineering.

[11]  O. Pulz,et al.  Valuable products from biotechnology of microalgae , 2004, Applied Microbiology and Biotechnology.

[12]  E. Grima,et al.  Prediction of dissolved oxygen and carbon dioxide concentration profiles in tubular photobioreactors for microalgal culture , 1999, Biotechnology and bioengineering.

[13]  J. M. Fernández-Sevilla,et al.  Comprehensive model of microalgae photosynthesis rate as a function of culture conditions in photobioreactors , 2013, Applied Microbiology and Biotechnology.

[14]  Emilio Molina,et al.  Influence of culture conditions on the productivity and lutein content of the new strain Scenedesmus almeriensis , 2008 .

[15]  C. Lan,et al.  CO2 bio-mitigation using microalgae , 2008, Applied Microbiology and Biotechnology.

[16]  B. Colman,et al.  Photosynthetic inorganic carbon uptake and accumulation in two marine diatoms , 1995 .

[17]  F. G. Acién,et al.  Tubular photobioreactor design for algal cultures. , 2001, Journal of biotechnology.

[18]  M. Mesarovic,et al.  Theory of Hierarchical, Multilevel, Systems , 1970 .

[19]  C. Lan,et al.  Biofuels from Microalgae , 2008, Biotechnology progress.

[20]  Manuel Berenguel,et al.  A Robust Adaptive Dead-Time Compensator with Application to A Solar Collector Field , 1998 .

[21]  Manuel Berenguel,et al.  Model predictive control of pH in tubular photobioreactors , 2004 .

[22]  F. G. Acién Fernández,et al.  Minimization of carbon losses in pilot‐scale outdoor photobioreactors by model‐based predictive control , 2003, Biotechnology and bioengineering.

[23]  M. Moo-Young,et al.  AIRLIFT REACTORS: CHARACTERISTICS, APPLICATIONS AND DESIGN CONSIDERATIONS , 1987 .

[24]  Gregory L. Rorrer,et al.  Modeling and simulation of a tubular recycle photobioreactor for macroalgal cell suspension cultures , 1999 .

[25]  Philip Owende,et al.  Biofuels from microalgae—A review of technologies for production, processing, and extractions of biofuels and co-products , 2010 .

[26]  N. Zuber,et al.  Average volumetric concentration in two-phase flow systems , 1965 .

[27]  F. G. Fernández,et al.  A model for light distribution and average solar irradiance inside outdoor tubular photobioreactors for the microalgal mass culture. , 1997, Biotechnology and bioengineering.

[28]  I. J. Leontaritis,et al.  Input-output parametric models for non-linear systems Part II: stochastic non-linear systems , 1985 .