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A regulator for continuous sedimentation in ideal clarifier–thickener units

Diehl, Stefan LU (2008) In Journal of Engineering Mathematics 60(3-4). p.265-291
Abstract
The purpose of this paper is to present a regulator for control of the continuous-sedimentation process in a clarifier–thickener unit when this is modelled in one space dimension and when the settling properties of the solids obey Kynch’s assumption. The model is a scalar hyperbolic conservation law with space-discontinuous flux function and point source. The most desired type of solution contains a large discontinuity. A common objective is to control the movement of this discontinuity subject to the requirement that the effluent of the process have zero concentration of particles. In addition, there may be a requirement that the underflow concentration of the thickened suspension lie above a predefined value. Based on previous results on... (More)
The purpose of this paper is to present a regulator for control of the continuous-sedimentation process in a clarifier–thickener unit when this is modelled in one space dimension and when the settling properties of the solids obey Kynch’s assumption. The model is a scalar hyperbolic conservation law with space-discontinuous flux function and point source. The most desired type of solution contains a large discontinuity. A common objective is to control the movement of this discontinuity subject to the requirement that the effluent of the process have zero concentration of particles. In addition, there may be a requirement that the underflow concentration of the thickened suspension lie above a predefined value. Based on previous results on the nonlinear behaviour of the process, a nonlinear regulator is presented. It controls the location of the large discontinuity indirectly by controlling the total mass. The process is stabilized significantly and large input oscillations can be handled. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Control, Clarifier–thickener, Continuous sedimentation, Nonlinear regulator, Dynamic behaviour
in
Journal of Engineering Mathematics
volume
60
issue
3-4
pages
265 - 291
publisher
Springer
external identifiers
  • wos:000253528000003
  • scopus:39749142230
ISSN
0022-0833
DOI
10.1007/s10665-007-9149-3
language
English
LU publication?
yes
id
346ec245-058a-47dc-bb0d-772ddbcb1a3d (old id 793628)
date added to LUP
2008-03-03 16:47:13
date last changed
2017-06-04 03:28:59
@article{346ec245-058a-47dc-bb0d-772ddbcb1a3d,
  abstract     = {The purpose of this paper is to present a regulator for control of the continuous-sedimentation process in a clarifier–thickener unit when this is modelled in one space dimension and when the settling properties of the solids obey Kynch’s assumption. The model is a scalar hyperbolic conservation law with space-discontinuous flux function and point source. The most desired type of solution contains a large discontinuity. A common objective is to control the movement of this discontinuity subject to the requirement that the effluent of the process have zero concentration of particles. In addition, there may be a requirement that the underflow concentration of the thickened suspension lie above a predefined value. Based on previous results on the nonlinear behaviour of the process, a nonlinear regulator is presented. It controls the location of the large discontinuity indirectly by controlling the total mass. The process is stabilized significantly and large input oscillations can be handled.},
  author       = {Diehl, Stefan},
  issn         = {0022-0833},
  keyword      = {Control,Clarifier–thickener,Continuous sedimentation,Nonlinear regulator,Dynamic behaviour},
  language     = {eng},
  number       = {3-4},
  pages        = {265--291},
  publisher    = {Springer},
  series       = {Journal of Engineering Mathematics},
  title        = {A regulator for continuous sedimentation in ideal clarifier–thickener units},
  url          = {http://dx.doi.org/10.1007/s10665-007-9149-3},
  volume       = {60},
  year         = {2008},
}