使用自然光的光生物反应器生物质生产的Optimization
Optimization of a photobioreactor biomass production using natural light
摘要：
我们解决的生物量的长期生产力的优化的问题，在光生物反应器中的微藻生物量生产的影响下的白天/黑夜周期的框架。为此，我们提出了一个简单的生物反应器模型，占光衰减的反应器中，由于生物质密度和控制律，通过应用庞特里亚金的最大值原理，与稀释率的控制，获得优化生产率超过一天。对所获得的解决方案的重要约束是反应器中的生物质在一天的开始和结束时应处于相同的水平，使得可以每天应用相同的控制并优化长期生产率。几种情况是可能的，这取决于微藻的应变参数和稀释率的最大容许值：bang-bang或bang-singular-bang控制，或者，如果藻类的生长速率在光的存在下非常强，则恒定的最大稀释。一个分叉图来说明这些不同的行为发生的参数值。
英文摘要：
We address the question of optimization of the biomass long term productivity in the framework of microalgal biomass production in photobioreactors under the influence of day/night cycles. For that, we propose a simple bioreactor model accounting for light attenuation in the reactor due to biomass density and obtain the control law that optimizes productivity over a single day through the application of Pontryagin's maximum principle, with the dilution rate being the control. An important constraint on the obtained solution is that the biomass in the reactor should be at the same level at the beginning and at the end of the day so that the same control can be applied everyday and optimizes the long term productivity. Several scenarios are possible depending on the microalgae's strain parameters and the maximal admissible value of the dilution rate: bang-bang or bang-singular-bang control or, if the growth rate of the algae is very strong in the presence of light, constant maximal dilution. A bifurcation diagram is presented to illustrate for which values of the parameters these different behaviors occur.
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