2018
DOI: 10.1016/j.memsci.2017.09.053
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Optimal control of physical backwash strategy - towards the enhancement of membrane filtration process performance

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Cited by 31 publications
(13 citation statements)
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“…Therefore, it is necessary to compare the reversibility, which represents the backwash cleaning efficiency, in different backwash conditions. According to the membrane filtration model by Kalboussi et al [ 66 ], the mass of the cake layer tends towards a constant value as the number of filtration cycles increase. According to the TMP variation in dead-end filtration with periodic backwashes [ 53 , 67 ], the fouling resistance at the end of each filtration cycle would be in increasing trend with filtration cycles continuing, therefore the fouling condition before AB is much closer to that before the third CB.…”
Section: Resultsmentioning
confidence: 99%
“…Therefore, it is necessary to compare the reversibility, which represents the backwash cleaning efficiency, in different backwash conditions. According to the membrane filtration model by Kalboussi et al [ 66 ], the mass of the cake layer tends towards a constant value as the number of filtration cycles increase. According to the TMP variation in dead-end filtration with periodic backwashes [ 53 , 67 ], the fouling resistance at the end of each filtration cycle would be in increasing trend with filtration cycles continuing, therefore the fouling condition before AB is much closer to that before the third CB.…”
Section: Resultsmentioning
confidence: 99%
“…where U denotes the set of measurable functions over [0, T ] taking values in [−1, 1]. The question of practical applicability of a control that takes values different to −1 and 1 relies on approximations with chattering controls [19] and is exposed in [11,12] (see also [2] in the context of fed-batch bioprocesses). Next, we consider the following hypotheses on the model.…”
Section: Model Description and Preliminary Resultsmentioning
confidence: 99%
“…For the practical implementation of the optimal control law (where only the values u = −1 and u = 1 can be applied) it is not possible to stay exactly on the singular arc m = m. But an approximation by a sequence of filtration/backwashing can be applied to stay on the vicinity of the singular arc. This sequence can be chosen so that the average value of m is m, which provides a good approximation of the optimal value as it has been tested in [11,12]. One may argue that the optimal control problem could be reformulated as a discrete time problem where the time step is the smallest period of switching between filtration and backwashing that could be applied in practice.…”
Section: Discussionmentioning
confidence: 99%
“…[102] A backwash process is typically carried out to eliminate contaminants collected on the membrane. It is conducted when there is an increase in TMP and/or a decline in permeate flux [94]. The direction and flow from the backwash will dislocate the contaminants from the membrane surface and washed out through the discharge line.…”
Section: Fouling Type Chemical Cleaning and Findings Refmentioning
confidence: 99%