Zenteno, Rolando | Universidad Veracruzana |

Hernandez-Martinez, Eliseo | Universidad Veracruzana |

**Resumen:** The periodic operation in a CSTR for the hydrolysis of acetic anhydride was studied by a first-harmonic balance approach. Two temperature conditions were evaluated for the system (low and high temperature) and the performance was examined for different periodic signals (i.e., feed concentration, feed temperature and jacket temperature) over a range of frequencies and amplitudes. The first-harmonic balance approach simplified the differential equations model to a set of nonlinear algebraic equations and the nonlinearities, like reaction kinetic, were approximate considering the first bases of the Fourier series. The results showed that the first-harmonic balance estimated the response of the time-average variables (i.e., concentration and reactor temperature) for the periodic operation of the CSTR, and it was possible determine the optimal conditions to improve performance of the acetic anhydride hydrolysis.

#### ¿Cómo citar?

Rolando Zenteno-Catemaxca, Roel Hernandez-Rodríguez, Miguel A. Morales-Cabrera & Eliseo Hernandez-Martinez. Analysis of Periodic Operation of Acetic Anhydride Hydrolysis in a Continuous Stirred Tank Reactor by a First-Harmonic Balance. Memorias del Congreso Nacional de Control Automático, pp. 202-207, 2021.

#### Palabras clave

Periodic operation, first harmonic balance, numeric simulation, chemical reactors

## Referencias

- Ajbar, A. (2011). On the improvement of performance of bioreactors through periodic forcing. Computers and Chemical Engineering, 35, 1164-1170.
- Álvarez, J., Meraz, M., Valdes, F.J., and Álvarez, J. (2012). First-harmonic balance analysis for fast evaluation of periodic operation of chemical processes. Chemical Engineering Science, 74, 256-265.
- Ayude, M.A., Martínez, O.M. and Cassanello, M.C. (2007). Modulation of liquid holdup along a trickle bed reactor with periodic operation. Chemical Engineering Science, 62, 6002-6014.
- Bailey, J.E. (1973). Periodic operation of chemical reactors. Chem. Eng. Commun., 1, 111-125.
- Brzic, D. and Petkovska, M (2019). Nonlinear frequency response analysis as tool for identification of adsorption kinetics: Case study-pore-surface disffusion control. Mathematical problems in engineering, 2019.
- Silveston, P.L. (1998). Composition modulation of catalytic reactors. Gordon & Breach, Amsterdam, The Netherlands.
- Haldar, R. and Rao, D.P. (1991). Experimental studies on limit cycle behavior of the suphuric acid catalysed hydrolysis of acetic anhydride in a CSTR. Chemical Engineering Science, 46, 1197.
- Hernández, E., Granados, A. Meraz, M. and Álvarez, J. (2011). Analysis of periodic operation of bioreactors from a first-harmonic balance approach. Chemical Engineering and Processing: Process Intensification, 50, 1169-1176.
- Jayakumar, N.S., Agrawal, A., Hashim, M.A. and Sahu, J.N. (2011). Experimental and theoretical investigation of parametric sensitivity and dynamucs of a continuous stirred tank reactor for acid catalyzed hydrolysis of acetic anhydride. Computers and Chemical Engineering, 35, 1195.
- Mutavdžin, I., Seidel, A., and Petkovska, M. (2013). Estimation of competitive adsorption isotherms based on nonlinear frequency response experiments using equimolar mixtures-numerical analysis for racemic mixtures. Chemical Engineering Science, 89, 21-30.
- Nikolic, D. and Petkovska, M. (2016). Evaluation of performance of periodically operated reactors for single input modulations of general waveforms. Chemical Ingenieur Technik, 88(11), 1715-1722. Nikolic, D., Seidel, A. and Petkovska, M. (2020). Nonlinear frequency response analysis of forced periodic operations with simultaneous modulation of two general waveform inputs with applications on adiabatic CSTR with squarewave modulations. Chemical Engineering Science, 226(11).
- Petkovska, M., Nikolic, D., Markovic, A., and Seidel, A. (2010). Fast evaluation of periodic operation of a heterogeneous reactor based on nonlinear frequency response analysis. Chemical Engineering Science, 65, 3632-3637.
- Petkovska, M., Nikolic, D., Markovic, A., and Seidel, A. (2010). Fast evaluation of periodic operation of a heterogeneous reactor based on nonlinear frequency response analysis. Chemical Engineering Science, 65, 3632-3637
- Sterman, L.E., and Ydstie, B.E. (1990). The steady-state process with periodic pertubations. Chemical Engineering Science, 45, 721-736
- Zhai, C., Sun, W. and Palazoglu, A. (2017). Analysis of periodically forced bioreactors using nonlinear transfer functions. Journal of Process Control, 58, 90-105.