Bifurcation analysis of a hybrid continuous stirred tank reactor with imperfect mixing in the cooling jacket

Skupin, Piotr; Laszczyk, Piotr; Metzger, Mieczysław

doi:10.1016/j.ifacol.2019.11.802

Cited by 5 publications

(1 citation statement)

References 15 publications

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“…The inlets are composed of parameters and variables such as temperature profiles, reactants concentration, reactants density, heating or cooling system temperature, and reactants volume while the outlets are composed of the product concentration, product temperature, product volume, and product density, to name few. Scientists and engineers are interested in fully understanding the dynamics of these tanks through mathematical analysis [1,2,3]. Other researchers have carried out uncertainty quantification on CSTR models.…”

Section: Introductionmentioning

confidence: 99%

Sensitivity and Uncertainty Analysis of Variable-Volume Deterministic Model for Endothermic Continuously Stirred Tank Reactor

Muhirwa¹,

Mbalawata²,

Masanja³

2020

J. Math. Inf.

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This paper deals with the formulation and the identifiability of the variablevolume deterministic model for the endothermic continuously stirred tank reactor (CSTR). The identifiability of physical parameters of the formulated model is done by using the least squares and the delayed rejection adaptive algorithm version of the Markov chain Monte Carlo (MCMC) method. The least square estimates are used as prior information for the MCMC method. To measure the model output associated with the perturbed model parameters, we use global sensitivity analysis implemented in Latin Hypercube Sampling method. The obtained results from partial rank correlation coefficients show that six parameters are very sensitive and correlated with the model outputs. Finally, we show that the least square and the MCMC numerical results impart the model to be realistic, reliable and worthwhile to describe the dynamics of CSTR processes as physical parameters of the model are well identified and their uncertainties in the model response are analysed and quantified.

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Section: Introductionmentioning

confidence: 99%

Sensitivity and Uncertainty Analysis of Variable-Volume Deterministic Model for Endothermic Continuously Stirred Tank Reactor

Muhirwa¹,

Mbalawata²,

Masanja³

2020

J. Math. Inf.

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Predictive temperature control design for reaction calorimeter based on mechanism parameter model

Xu,

Fan,

Ding

et al. 2023

Review of Scientific Instruments

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Isothermal control is the most basic and crucial function in the principle of a reaction calorimeter system and affects the speed and validity of the calorimetric experiment. However, the complex and uncertain working conditions in different reaction processes pose a challenge to the adaptability of temperature control algorithms. Aiming at the problem, a heat transfer model of the system is first established for temperature control design. From the simulation results, a prediction model based on equivalent mechanism parameters is determined for the control. Then, an integrated model predictive control (MPC) strategy is presented. To reduce the influence on the temperature control caused by the mismatch of the prediction model, a set of online parameter identification and adjustment methods is proposed. Simulations of the MPC control were implemented to analyze the control's performance. Experiments were also carried out to verify the advantages of the proposed strategy over the proportional-integral-derivative algorithm and demonstrate the role and efficiency of online identification. This control strategy can be applied to other laboratory-scale instruments with tank reactors.

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Nonideal mixing effect on the input multiplicity and controller performance of CSTR based on Cholette’s model – a simulation study

Yang,

Lin,

Chien

et al. 2024

Journal of the Chinese Institute of Engineers

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Bifurcation analysis of a hybrid continuous stirred tank reactor with imperfect mixing in the cooling jacket

Cited by 5 publications

References 15 publications

Sensitivity and Uncertainty Analysis of Variable-Volume Deterministic Model for Endothermic Continuously Stirred Tank Reactor

Sensitivity and Uncertainty Analysis of Variable-Volume Deterministic Model for Endothermic Continuously Stirred Tank Reactor

Predictive temperature control design for reaction calorimeter based on mechanism parameter model

Nonideal mixing effect on the input multiplicity and controller performance of CSTR based on Cholette’s model – a simulation study

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