Evaluation of the Potential of Periodic Reactor Operations Based on the Second 
Order Frequency Response Function

Markovic, A.; Seidel-Morgenstern, A.; Petkovska, M.

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Evaluation of the Potential of Periodic Reactor Operations Based on the Second Order Frequency Response Function

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Markovic, A.
Physical and Chemical Foundations of Process Engineering, Max Planck Institute for Dynamics of Complex Technical Systems, Max Planck Society;

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Seidel-Morgenstern, A.
Physical and Chemical Foundations of Process Engineering, Max Planck Institute for Dynamics of Complex Technical Systems, Max Planck Society;
Otto-von-Guericke-Universität Magdeburg, External Organizations;

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Citation

Markovic, A., Seidel-Morgenstern, A., & Petkovska, M. (2007). Evaluation of the Potential of Periodic Reactor Operations Based on the Second Order Frequency Response Function. In European Congress of Chemical Engineering - ECCE-6: Book of Abstracts (pp. 467-468).

Cite as: https://hdl.handle.net/11858/00-001M-0000-0027-A8BE-4

Abstract

A new, fast and easy method for analysing the potential for improving reactor performance by replacing steady state by forced periodic operation is presented. The method is based on Volterra series, generalized Fourier transform and the concept of higher-order frequency response functions (FRFs). The second order frequency response function, which corresponds to the dominant term of the non-periodic (DC) component, G₂(ω,-ω), is mainly responsible for the average performance of the periodic processes. Based on that, in order to evaluate the potential of periodic reactor operation, it is enough to derive and analyze G₂(ω,-ω). The sign of this function defines the sign of the DC component and reveals whether the performance improvement by cycling is possible. The method is used to analyze the periodic performance of a continuous stirred tank reactor (CSTR), plug flow tubular reactor (PFTR) and dispersive flow tubular reactor (DFTR), after introducing periodic change of the input concentration. Simple homogeneous, isothermal, n-th order reaction mechanism is studied.