Fundamental thermal‐hydraulic pulp digester model with grade transition

Bhartiya, Sharad; Doyle, Francis J.

doi:10.1002/aic.690490212

Cited by 36 publications

(39 citation statements)

References 6 publications

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“…In the last few decades, physical model studies of a continuous paper pulp digester have been frequently reported [5,[11][12][13][14][15][16][17]. A fundamental model proposed by Bhartiya [17], 2003, is chosen as process model of the studied digester.…”

Section: Model Selection and Simplificationsupporting

confidence: 46%

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Model parameter estimation of simplified linear models for a continuous paper pulp digester

Ding

Gustafsson

Johansson

2007

Journal of Process Control

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A physical model of a continuous paper pulp digester is simplified and two subprocesses selected from the digester are modelled by coupled linear partial differential equations. This study focuses on the parameter identification of the simplified linear models. Finitedimensional approximation of the model is made and a software package developed for identification of distributed parameter processes is applied. This identification system is developed for flexibility to allow identification for different choices of subprocesses and process variables. Unknown parameters of the subprocess models are estimated and the results are illustrated by process simulation and model validation.

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Section: Model Selection and Simplificationsupporting

confidence: 46%

“…A fundamental model proposed by Bhartiya [17], 2003, is chosen as process model of the studied digester.…”

Section: Model Selection and Simplificationmentioning

confidence: 43%

Model parameter estimation of simplified linear models for a continuous paper pulp digester

Ding

Gustafsson

Johansson

2007

Journal of Process Control

View full text Add to dashboard Cite

show abstract

“…In the last few decades, physical model studies of continuous paper pulp digesters have been frequently reported [5], [8], [9], [10], [11], [12]. Process modelling of the current study is based on a fundamental model proposed by Bhartiya [12], 2003.…”

Section: A Process Modellingsupporting

confidence: 44%

“…The entrapped liquor and the free liquor are aqueous solution with six components. For more detail of the model please refer to the original paper (Bhartiya [12], 2003).…”

Section: A Process Modellingsupporting

confidence: 41%

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Physical Model Parameter Estimation of a Nonlinear Process

Ding

Gustafsson

Johansson

2006

2006 IEEE International Conference on Control Applications

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Abstract-A physical model of a nonlinear subprocess in a continuous paper pulp digester is discussed and simplified. Model approximation is carried out in order to produce a simple linear model to be used for unknown parameter estimation of the physical model. The Taylor series expansion and the orthogonal collocation method are applied for the model linearization and model lumping, respectively. The reduced model is expressed as a standard state space form. The model parameters are estimated in the least squares sense, and the parameters retain their own physical meanings. The results of the parameter estimation are discussed and the model is verified using validation data. I. INTRODUCTIONProcess models play a more and more important role in the development of control technology. Modelling of a continuous paper pulp digester is a troublesome task due to a complex mixture of chemical reactions and transport phenomena within the process. System identification is a good alternative to model a complex process, for example, a digester. Comparing with black-box models, the parameters in a physical model bear certain physical meanings, which can be very useful in the diagnostic procedure or the controller design. The current study aims to deliver a simple linear model for a distributed parameter nonlinear process. For this process a complex nonlinear physical model is already available, and there exist unknown parameters in the physical model. The unknown parameters can be identified based on the simple linear model that is an approximation of the complex physical model, and the parameter estimates retain their own physical meanings. A subprocess in a continuous paper pulp digester is selected as an application example. In the next section, a physical digester model is simplified for the selected subprocess. Then the model is linearized and lumped. In Section 3, a software tool developed for the parameter estimation is applied and the parameter estimation results are analyzed. Model validation is discussed in Section 4. Section 5 gives conclusions.

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Detailed modeling of the kraft pulping chemistry: carbohydrate reactions

et al. 2020

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The article introduces a detailed model for carbohydrate chemistry in kraft pulping. This article is continuation to the modeling work carried out for hot water extraction and chemical pulp bleaching. The model includes galactoglucomannan, xylan, and cellulose acid-base equilibria, in addition to peeling, stopping, and alkaline hydrolysis reactions of the same carbohydrates, as well as hexenuronic acid formation and degradation reactions. The Arrhenius parameters were applied from the literature or regressed against experimental data in the present study. The model is very successful in predicting the experimental data of carbohydrate reactions during kraft pulping. Many features of the pulping-related model can be applied to specific fractionation chemistry considerations. The detailed knowledge on carbohydrates composition at any stage of pulping gives possibility for further development of biorefinery cases based on kraft pulping, such as biofuel and chemicals production.

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Fundamental thermal‐hydraulic pulp digester model with grade transition

Cited by 36 publications

References 6 publications

Model parameter estimation of simplified linear models for a continuous paper pulp digester

Model parameter estimation of simplified linear models for a continuous paper pulp digester

Physical Model Parameter Estimation of a Nonlinear Process

Detailed modeling of the kraft pulping chemistry: carbohydrate reactions

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