Dynamical Analysis of a Continuous Stirred-Tank Reactor with the Formation of Biofilms for Wastewater Treatment

Buriticá, Karen López; Trujillo, Simeón Casanova; Acosta, Carlos D.; Díaz, H.

doi:10.1155/2015/512404

Cited by 4 publications

(5 citation statements)

References 20 publications

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“…There is a significant improvement compared with the previous results (see Figure 10d). Figure 11a shows the results between the mathematical model (discontinuous black line) and the experimental data (red line) achieved in the volume of methane CH 4 produced [10,20]. Finally, after 60 days, both dynamics converge.…”

Section: Resultsmentioning

confidence: 92%

Extension of the Set of Raw Sludges used in Industrial Anaerobic Digestion Reactors Implementable in Control Schemes Using an On-line Model Parameter Identification Strategy

Ocaña¹,

Barbancho²,

Rubia³

et al. 2022

Preprint

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This work presents a methodology that seeks to be a new standard in modeling identification in anaerobic digestion reactors. Because it is not possible to measure all variables with reliable and cost-efficient real-time methods, a specific structure composed of an asymptotic observer for the concentration of state variables; acidogenic and methanogenic bacterias, unlock the use of new types of raw sludges for industrial control and monitoring purposes. New yield parameters were included in the reduced anaerobic digestion model (ADM2) used as the core, precisely two terms in total alkalinity, to bring about the modeling of additional organic materials at inlet containing proteins or amino acids. The fermentation of these substances introduces ammonium, providing variations in the amount of alkalinity available inside the reaction. The new model is used to solve an optimization problem that calculates the parameters that best fit the dynamics of state variables with the same information taken on the experimental data. The adjustment process started with the genetic algorithm; however, to improve the performance, a novel method is proposed called step-ahead. Together, including the design of an asymptotic observer, numerical simulations demonstrate the strengths of the structure, which constitutes a significant step in paving the way further to implement feasible, cost-effective control and monitoring systems in the industry.

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Section: Resultsmentioning

confidence: 92%

Extension of the Set of Raw Sludges used in Industrial Anaerobic Digestion Reactors Implementable in Control Schemes Using an On-line Model Parameter Identification Strategy

Ocaña¹,

Barbancho²,

Rubia³

et al. 2022

Preprint

View full text Add to dashboard Cite

show abstract

“…3.2 Análisis de estabilidad en el punto de equilibrio P 0 3.2.1 Caso a.b = 0 Si a = 0, el sistema de la ecuación (2) obliga a que x = x 0 sea constante. Luego la estabilidad del sistema se discute a traves del sistema lineal planar dado en la ecuación (6), el cual tendá un subespacio de equilibrio si bd − gx 2 0 = 0. En caso contrario, se obtiene el punto de equilibrio (x 0 , 0, 0) que será estable si d ≤ 0 e inestable para d > 0.…”

Section: Materiales Y Métodosunclassified

“…Es de notar que cuando d = 0, los puntos de equilibrio P 1,2 y P 0 colisionan ocasionando cambio de estabilidad en el punto P 0 , generando una bifurcación horquilla. La demostración de esta bifurcación se realizará de forma análoga como se hizo en [6]. Demostración.…”

Section: Bifurcación Tridente U Horquilla En El Origenunclassified

Bifurcaciones Horquilla y Hopf en un sistema de Lorenz extendido

Granada Díaz,

Olivar Robayo,

Casanova Trujillo

2023

Cienc. En Desarro.

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“…However, this is an elaborated biochemical process that includes diverse microorganisms, making the process nonlinear [10]. In this area, it is great of interest to derive models that would be as sensitive as possible to the lack of phenomenological knowledge [11,12]. Thus, an interesting alternative to represent this phenomenon is the extended anaerobic digestion mathematical model 2 (EAM2) [13], designed for control and monitoring purposes.…”

Section: Introductionmentioning

confidence: 99%

Full-Scale Digesters: Model Predictive Control with Online Kinetic Parameter Identification Strategy

et al. 2022

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This work presents a nonlinear model predictive control scheme with a novel structure of observers aiming to create a methodology that allows feasible implementations in industrial anaerobic reactors. In this way, a new step-by-step procedure scheme has been proposed and tested by solving two specific drawbacks reported in the literature responsible for the inefficiencies of those systems in real environments. Firstly, the implementation of control structures based on modeling depends on microorganisms’ concentration measurements; the technology that achieves this is not cost-effective nor viable. Secondly, the reaction rates cannot be considered static because, in the extended anaerobic digestion model (EAM2), the large fluctuation of parameters is unavoidable. To face these two drawbacks, the concentration of acidogens and methanogens, and the values of the two reaction rates considered have been estimated by a structure of two observers using data collected by sensors. After 90 days of operation, the error in convergence was lower than 5% for both observers. Four model predictive controller (MPC) configurations are used to test all the previous information trying to maximize the volume of methane and demonstrate a satisfactory operation in a wide range of scenarios. The results demonstrate an increase in efficiency, ranging from 17.4% to 24.4%, using as a reference an open loop configuration. Finally, the operational robustness of the MPC is compared with simulations performed by traditional alternatives used in industry, the proportional-integral-derivative (PID) controllers, where some simple operational scenarios to manage for an MPC are longer sufficient to disrupt a normal operation in a PID controller. For this controller, the simulation shows an error close to the 100% of the reference value.

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Dynamical Analysis of a Continuous Stirred-Tank Reactor with the Formation of Biofilms for Wastewater Treatment

Cited by 4 publications

References 20 publications

Extension of the Set of Raw Sludges used in Industrial Anaerobic Digestion Reactors Implementable in Control Schemes Using an On-line Model Parameter Identification Strategy

Extension of the Set of Raw Sludges used in Industrial Anaerobic Digestion Reactors Implementable in Control Schemes Using an On-line Model Parameter Identification Strategy

Bifurcaciones Horquilla y Hopf en un sistema de Lorenz extendido

Full-Scale Digesters: Model Predictive Control with Online Kinetic Parameter Identification Strategy

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