Modeling Drainage in Periodic Separation

Abildskov, Jens; Jørgensen, Sten Bay

doi:10.1021/acs.iecr.2c00799

Cited by 2 publications

(14 citation statements)

References 20 publications

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“…Table also gives the efficiencies for single fractional trays of either Lewis Case 1 ( E T1 ), 2 ( E T2 ), and/or 3 ( E T3 ) for all examples. These can be evaluated analytically, using the point efficiencies and stripping factors for the single trays. Note that these are derived and valid for single trays when (λ, E p ) are known.…”

Section: Examplesmentioning

confidence: 67%

“…Table 1 also gives the efficiencies for single fractional trays of either Lewis Case 1 (E T1 ), 2 (E T2 ), and/or 3 (E T3 ) for all examples. These can be evaluated analytically, 17 (…”

Section: ■ Examplesmentioning

confidence: 99%

“…The order of trays can easily be reversed, such that the top tray is element 1, and the bottom tray is element N· β, as in previous works. , That will require reversing of the order of the vector elements of x and x i =1, N . This can be done by simple matrix multiplications on all terms, giving …”

Section: Modelingmentioning

confidence: 99%

“…The drop matrix in eq has the same form and elements as in periodic separation . Division of the stripping factor by β is the key difference.…”

Section: Modelingmentioning

confidence: 99%

“…The drop matrix in eq 28 has the same form and elements as in periodic separation. 17 the key difference. When β = 1, this difference vanishes.…”

Section: ■ Modelingmentioning

confidence: 99%

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Modeling Tray Separation Columns with Parallel Streams

Lyregaard

Jørgensen

Abildskov

2023

Ind. Eng. Chem. Res.

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Linear tray models based on liquid phase plug flow, are developed for absorption and desorption using conventional-, para-, and meta separation columns. The models are explicit in the local (point) efficiency rather than tray efficiency, leading to direct integration of the Lewis enhancement effects, i.e. of point-to-plate efficiency enhancement. The models lead to mathematical systems, also encountered in modeling and analysis of periodic separations. With similar analysis, the models can evaluate stationary profiles and tray efficiencies of systems with arbitrary numbers of trays and parallel streams. The models are used to simulate stripping/desorption of ammonia from water with air and absorption of SO2 with seawater. The presented framework of modeling and analysis makes it possible to develop a basis for comparing different separation forms on a common basis. Periodic separation and conventional tray-based separation are special cases of para separation and meta separation without stream partitioning. Similarly, para separation and meta separation can be seen as extensions of periodic and conventional separation to higher numbers of parallel streams.

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Section: Examplesmentioning

confidence: 67%

“…Table 1 also gives the efficiencies for single fractional trays of either Lewis Case 1 (E T1 ), 2 (E T2 ), and/or 3 (E T3 ) for all examples. These can be evaluated analytically, 17 (…”

Section: ■ Examplesmentioning

confidence: 99%

Section: Modelingmentioning

confidence: 99%

“…The drop matrix in eq has the same form and elements as in periodic separation . Division of the stripping factor by β is the key difference.…”

Section: Modelingmentioning

confidence: 99%

“…The drop matrix in eq 28 has the same form and elements as in periodic separation. 17 the key difference. When β = 1, this difference vanishes.…”

Section: ■ Modelingmentioning

confidence: 99%

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Modeling Tray Separation Columns with Parallel Streams

Lyregaard

Jørgensen

Abildskov

2023

Ind. Eng. Chem. Res.

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Intelligent control algorithm for dynamic positioning control system

Guan

2024

Front. Mech. Eng.

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Introduction: The dynamic positioning system resists the environmental forces such as wind, wave and current acting on the ship through the thruster, so that the ship can remain in the position required by the sea level as much as possible, and the operation is very convenient. But its current dynamic positioning ability can not meet people's needs.Methods: A Kalman filter based on untracked optimization was designed for dynamic positioning control system. Then the intelligent control algorithm is designed for the dynamic positioning top-level controller and thrust optimal distribution controller, which occupy an important position in the system, namely the adaptive weight variation particle swarm optimization algorithm and thrust optimal distribution algorithm.Results and Discussion: The average position error of three degrees of freedom after filter processing is 1.53 m. Compared with other mainstream controllers, the mean root error of controllers based on adaptive weight variation particle swarm optimization in environment A and B is 2.295 and 1.8 m, respectively. In environment C, the controller based on thrust optimization allocation algorithm can get the optimal solution when the full rotary thruster reaches the 7 s and the channel thruster reaches the 4 s. The thrust exclusion zone is crossed at 46 s in environment D. In the dynamic positioning capability curve of the system, the experimental hull can balance the different environmental loads at all angles. In summary, the intelligent control algorithm proposed in this paper can effectively improve the positioning ability of the dynamic positioning control system and meet the needs of people for ship navigation today.

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Modeling Drainage in Periodic Separation

Cited by 2 publications

References 20 publications

Modeling Tray Separation Columns with Parallel Streams

Modeling Tray Separation Columns with Parallel Streams

Intelligent control algorithm for dynamic positioning control system

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