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
Само за регистроване кориснике
2006
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A new method for fast approximate calculation of quasi-steady states of cyclic processes is presented. The method is based on the concept of higher-order frequency response functions. The system input is represented in the form of Fourier series, whereas the output is presented in the form of Volterra series. For practical applications, both the input and the output series are approximated by finite-length sums. In this way, the approximate periodic quasi-steady state of the system output is calculated directly, without long numerical integrations. Cyclic operation of an adsorption column with periodic fluctuations of the inlet concentration or/and adsorbent temperature is used as a case study for testing the new method. The necessary frequency response functions (FRFs), up to the third order, are derived, based on the equilibrium dispersion model. The method 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 frequencies and amplitudes and compared with the numerical solutions. Very good agreement is obtained.
Извор:
Industrial & Engineering Chemistry Research, 2006, 45, 1, 266-291Издавач:
- Amer Chemical Soc, Washington
DOI: 10.1021/ie0505965
ISSN: 0888-5885
WoS: 000234315400033
Scopus: 2-s2.0-30444433384
Институција/група
Tehnološko-metalurški fakultetTY - JOUR AU - Petkovska, Menka AU - Marković, A PY - 2006 UR - http://TechnoRep.tmf.bg.ac.rs/handle/123456789/891 AB - A new method for fast approximate calculation of quasi-steady states of cyclic processes is presented. The method is based on the concept of higher-order frequency response functions. The system input is represented in the form of Fourier series, whereas the output is presented in the form of Volterra series. For practical applications, both the input and the output series are approximated by finite-length sums. In this way, the approximate periodic quasi-steady state of the system output is calculated directly, without long numerical integrations. Cyclic operation of an adsorption column with periodic fluctuations of the inlet concentration or/and adsorbent temperature is used as a case study for testing the new method. The necessary frequency response functions (FRFs), up to the third order, are derived, based on the equilibrium dispersion model. The method 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 frequencies and amplitudes and compared with the numerical solutions. Very good agreement is obtained. PB - Amer Chemical Soc, Washington T2 - Industrial & Engineering Chemistry Research T1 - 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 EP - 291 IS - 1 SP - 266 VL - 45 DO - 10.1021/ie0505965 ER -
@article{ author = "Petkovska, Menka and Marković, A", year = "2006", abstract = "A new method for fast approximate calculation of quasi-steady states of cyclic processes is presented. The method is based on the concept of higher-order frequency response functions. The system input is represented in the form of Fourier series, whereas the output is presented in the form of Volterra series. For practical applications, both the input and the output series are approximated by finite-length sums. In this way, the approximate periodic quasi-steady state of the system output is calculated directly, without long numerical integrations. Cyclic operation of an adsorption column with periodic fluctuations of the inlet concentration or/and adsorbent temperature is used as a case study for testing the new method. The necessary frequency response functions (FRFs), up to the third order, are derived, based on the equilibrium dispersion model. The method 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 frequencies and amplitudes and compared with the numerical solutions. Very good agreement is obtained.", publisher = "Amer Chemical Soc, Washington", journal = "Industrial & Engineering Chemistry Research", title = "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", pages = "291-266", number = "1", volume = "45", doi = "10.1021/ie0505965" }
Petkovska, M.,& Marković, A.. (2006). 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. in Industrial & Engineering Chemistry Research Amer Chemical Soc, Washington., 45(1), 266-291. https://doi.org/10.1021/ie0505965
Petkovska M, Marković A. 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. in Industrial & Engineering Chemistry Research. 2006;45(1):266-291. doi:10.1021/ie0505965 .
Petkovska, Menka, Marković, A, "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" in Industrial & Engineering Chemistry Research, 45, no. 1 (2006):266-291, https://doi.org/10.1021/ie0505965 . .