Air quality short-term control in an industrial region under adverse weather conditions
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Control Theory and Technology http://link.springer.com/journal/11768
Air quality short-term control in an industrial region under adverse weather conditions Yuri SKIBA† , David PARRA-GUEVARA Center for Atmospheric Sciences, National Autonomous University of Mexico, Circuito Exterior, Ciudad Universitaria, CDMX, 04510, MEXICO Received 1 May 2020; revised 14 July 2020; accepted 21 July 2020
Abstract A new short-term optimal control of air quality in an industrial region during atmospheric inversions is proposed. Its goal is to prevent violation of health standard of air quality in a few monitored zones. The control establishes restrictions on the emission rates of industrial sources and includes the identification of the industrial sources violating (exceeding) the emission rates set by the control. Both control and identification are based on using solutions to an adjoint dispersion model. Conditions that show the convergence of the emission rates, prescribed by the control, to the original emission rates of the industrial sources are given (Theorems 4 and 5). These results ensure that the new emission rates of industrial sources (established by the control) will be as close as possible to the original emission rates throughout the entire period of application of the control. This creates the minimum possible restrictions on the functioning of industrial enterprises. The highlight of the new control is the possibility of selecting special weights for each pollution source in the goal function that is minimized. These weights are mainly aimed at reducing the intensity of emissions of the main sources of pollution. An example demonstrates the ability of the new method. A similar approach can also be used to develop methods for cleaning water zones polluted by oil (the problem of bioremediation), and to prevent excessive pollution of urban areas with automobile emissions. Keywords: Dispersion model, adjoint model, adjoint estimates, optimal control, source detection DOI https://doi.org/10.1007/s11768-020-0091-5
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Introduction
The purpose of this study is to propose a new mathematical method for protecting the air quality in an industrial region during adverse weather conditions. The method is the optimal short-term control of emission
rates of industrial sources. In the case when a dispersion model predicts an excess of the maximum permissible concentration of a pollutant in a monitored zone, the control determines new, optimal to some extent, emission rates for the industrial sources. From this point on, each industrial source should continue its work with
† Corresponding author. E-mail: [email protected]. ´ This work was supported by the National System of Researcher of Mexico (SNI, CONACyT) (Nos. 14539, 25170).
© 2020 South China University of Technology, Academy of Mathematics and Systems Science, CAS and Springer-Verlag GmbH Germany, part of Springer Nature
Y. Skiba, D. Parra-Guevara / Control Theory Tech, Vol.
reduced emission rates prescribed by the control. This prevents a violation of the a
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