2017
DOI: 10.1002/cjce.23050
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Combining just‐in‐time modelling and batch‐wise unfolded PLS model for the derivative‐free batch‐to‐batch optimization

Abstract: In this work, a derivative‐free batch‐to‐batch optimization method is proposed. In order to conquer the difficulties in building a first principal model, a local batch‐wise unfolded PLS (BW‐PLS) model is used to accurately describe the concerned region, and the first principal model based dynamic optimization problem is transformed into a static one. The just‐in‐time (JIT) modelling method is employed to dynamically update the local BW‐PLS model upon request, and the nonlinearity and abrupt changes from one ba… Show more

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Cited by 6 publications
(5 citation statements)
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“…The dynamic model of the cobalt oxalate synthesis can be expressed by the ordinary differential equation as follows [ 1 ] : dVdtgoodbreak=FBdμ0dtgoodbreak=Bgoodbreak−FBμ0Vdμrdtgoodbreak=italicrGμr1goodbreak−FBμrVrgoodbreak=1,2dCdtgoodbreak=FBCBVA0()VA0goodbreak+FBt2goodbreak−3ρpkvGμ2goodbreak−FBCV where FB represents ammonium oxalate feed rate, V is the volume of the suspension, u0 is the crystal size of cobalt oxalate at the initial moment, B is the crystallization nucleation rate, ur is the crystal size of cobalt oxalate at time r , G is the growth rate, C is the concentration of the solution, VA0 is the initial volume of cobalt chloride, kv represents shape factor, ρp is the crystal density. B and G can be obtained from the following empirical formulas [ 33 ] :…”
Section: Simulation Research and Results Analysismentioning
confidence: 99%
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“…The dynamic model of the cobalt oxalate synthesis can be expressed by the ordinary differential equation as follows [ 1 ] : dVdtgoodbreak=FBdμ0dtgoodbreak=Bgoodbreak−FBμ0Vdμrdtgoodbreak=italicrGμr1goodbreak−FBμrVrgoodbreak=1,2dCdtgoodbreak=FBCBVA0()VA0goodbreak+FBt2goodbreak−3ρpkvGμ2goodbreak−FBCV where FB represents ammonium oxalate feed rate, V is the volume of the suspension, u0 is the crystal size of cobalt oxalate at the initial moment, B is the crystallization nucleation rate, ur is the crystal size of cobalt oxalate at time r , G is the growth rate, C is the concentration of the solution, VA0 is the initial volume of cobalt chloride, kv represents shape factor, ρp is the crystal density. B and G can be obtained from the following empirical formulas [ 33 ] :…”
Section: Simulation Research and Results Analysismentioning
confidence: 99%
“…The dynamic model of the cobalt oxalate synthesis can be expressed by the ordinary differential equation as follows [1] :…”
Section: Description Of the Cobalt Oxalate Synthesis Processmentioning
confidence: 99%
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“…The operation state of batch process will change with the process parameters' drift and environmental disturbances, which results in the deviation of manipulated variables from the optimal working point. [ 1 ] Thus, it is quite significant to grasp the process operation state timely and accurately for improving the production efficiency and economic benefits of the enterprise and facilitating the production adjustment. [ 2 ] However, it will be impractical for a new process to build a data‐driven process model because of limited running time, which brings about the insufficient accumulated data.…”
Section: Introductionmentioning
confidence: 99%
“…The traditional PLS is a linear modeling technique that has limited representation if process variables are relative in a strongly nonlinear way. There are several nonlinear PLS methods, such as Kernel Partial Least Squares (KPLS) [26], Quadratic Partial Least Squares (QPLS) [27] and Neural Network Partial Least Squares (NNPLS) [28]. These nonlinear PLS approaches more and less suffer from the high computational complexity.…”
Section: Introductionmentioning
confidence: 99%