Fast Estimation of Quasi-Steady States of Cyclic Nonlinear Processes Based on Higher-Order Frequency Response Functions. Case Study: Cyclic Operation of an Adsorption Column

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• 作者：Menka Petkovska and Ana Markovi//pubs.acs.org/images/entities/cacute.gif" border="0">
• 刊名：Industrial & Engineering Chemistry Research
• 出版年：2006
• 出版时间：January 4, 2006
• 年：2006
• 卷：45
• 期：1
• 页码：266 - 291
• 全文大小：544K
• 年卷期：v.45,no.1(January 4, 2006)
• ISSN：1520-5045

文摘

A new method for fast approximate calculation of quasi-steady states of cyclic processes is presented. Themethod is based on the concept of higher-order frequency response functions. The system input is representedin the form of Fourier series, whereas the output is presented in the form of Volterra series. For practicalapplications, both the input and the output series are approximated by finite-length sums. In this way, theapproximate periodic quasi-steady state of the system output is calculated directly, without long numericalintegrations. Cyclic operation of an adsorption column with periodic fluctuations of the inlet concentrationor/and adsorbent temperature is used as a case study for testing the new method. The necessary frequencyresponse functions (FRFs), up to the third order, are derived, based on the equilibrium dispersion model. Themethod is tested for sinusoidal and rectangular input changes. The approximate solutions based on the FRFs,up to the third order, and a finite number of input harmonics, are calculated for different input frequenciesand amplitudes and compared with the numerical solutions. Very good agreement is obtained.