The concept of higher-order frequency response functions(FRFs), which is based on Volterra series representation of nonlinear systems, is used to analyse the time-average performance of a perfectly mixed reactor subject to periodic modulation of the inlet concentration, for a simple n-th order heterogeneous catalytic reaction. The second order frequency response function G2(o, o), which corresponds to the dominant term of the non-periodic(DC) component, essentially determines the
average performance of the periodic process.Thus, in order to evaluate the potential of a periodic
operation, it is sufficient to derive and analyse the G2(o, o) function. The sign of this function defines
the sign of the DC component and reveals whether the periodic operation is favourable compared to
conventional steady state operation,or not. It will be shown that, for the case investigated,the sign of
this function depends both on the reaction order and on the shape of the adsorption isotherm
Keywords:
Forced periodic operation / Frequency response functions / Nonlinear dynamics / Chemical reactors / Adsorption / Mathematical modelling
TY - JOUR
AU - Petkovska, Menka
AU - Nikolić, Daliborka
AU - Marković, Ana
AU - Seidel-Morgenstern, Andreas
PY - 2010
UR - https://cer.ihtm.bg.ac.rs/handle/123456789/3824
AB - The concept of higher-order frequency response functions(FRFs), which is based on Volterra series representation of nonlinear systems, is used to analyse the time-average performance of a perfectly mixed reactor subject to periodic modulation of the inlet concentration, for a simple n-th order heterogeneous catalytic reaction. The second order frequency response function G2(o, o), which corresponds to the dominant term of the non-periodic(DC) component, essentially determines the
average performance of the periodic process.Thus, in order to evaluate the potential of a periodic
operation, it is sufficient to derive and analyse the G2(o, o) function. The sign of this function defines
the sign of the DC component and reveals whether the periodic operation is favourable compared to
conventional steady state operation,or not. It will be shown that, for the case investigated,the sign of
this function depends both on the reaction order and on the shape of the adsorption isotherm
PB - Elsevier
T2 - Chemical Engineering Science
T1 - Fast evaluation of periodic operation of a heterogeneous reactor based on nonlinear frequency response analysis
VL - 65
SP - 3632
EP - 3637
DO - 10.1016/j.ces.2010.03.011
ER -
@article{
author = "Petkovska, Menka and Nikolić, Daliborka and Marković, Ana and Seidel-Morgenstern, Andreas",
year = "2010",
abstract = "The concept of higher-order frequency response functions(FRFs), which is based on Volterra series representation of nonlinear systems, is used to analyse the time-average performance of a perfectly mixed reactor subject to periodic modulation of the inlet concentration, for a simple n-th order heterogeneous catalytic reaction. The second order frequency response function G2(o, o), which corresponds to the dominant term of the non-periodic(DC) component, essentially determines the
average performance of the periodic process.Thus, in order to evaluate the potential of a periodic
operation, it is sufficient to derive and analyse the G2(o, o) function. The sign of this function defines
the sign of the DC component and reveals whether the periodic operation is favourable compared to
conventional steady state operation,or not. It will be shown that, for the case investigated,the sign of
this function depends both on the reaction order and on the shape of the adsorption isotherm",
publisher = "Elsevier",
journal = "Chemical Engineering Science",
title = "Fast evaluation of periodic operation of a heterogeneous reactor based on nonlinear frequency response analysis",
volume = "65",
pages = "3632-3637",
doi = "10.1016/j.ces.2010.03.011"
}
Petkovska, M., Nikolić, D., Marković, A.,& Seidel-Morgenstern, A.. (2010). Fast evaluation of periodic operation of a heterogeneous reactor based on nonlinear frequency response analysis. in Chemical Engineering Science
Elsevier., 65, 3632-3637.
https://doi.org/10.1016/j.ces.2010.03.011
Petkovska M, Nikolić D, Marković A, Seidel-Morgenstern A. Fast evaluation of periodic operation of a heterogeneous reactor based on nonlinear frequency response analysis. in Chemical Engineering Science. 2010;65:3632-3637.
doi:10.1016/j.ces.2010.03.011 .
Petkovska, Menka, Nikolić, Daliborka, Marković, Ana, Seidel-Morgenstern, Andreas, "Fast evaluation of periodic operation of a heterogeneous reactor based on nonlinear frequency response analysis" in Chemical Engineering Science, 65 (2010):3632-3637,
https://doi.org/10.1016/j.ces.2010.03.011 . .
, 
