“A State Space Model for the Wood Chip Refining Model”
Authors: David Di Ruscio and Jens G. Balchen,Affiliation: Telemark University College and NTNU, Department of Engineering Cybernetics
Reference: 1997, Vol 18, No 3, pp. 219-237.
Keywords: Mathematical models, fibers, distribution, disk refiners, time, radius, thermomechanical pulping
Abstract: A detailed dynamic model of the fibre size distribution between the refiner discs, distributed along the refiner radius, is presented. Both one- and two-dimensional descriptions for the fibre or shive geometry are given. It is shown that this model may be simplified and that analytic solutions exist under non-restrictive assumptions. A direct method for the recursive estimation of unknown parameters is presented. This method is applicable to linear or linearized systems which have a triangular structure.
PDF (2178 Kb)
DOI: 10.4173/mic.1997.3.2References:
[1] CORSON, S.R. (1972). Probabilistic Model of the Disc Refining Process, Svensk Papperstidn. 7.2, 57-64.
[2] CORSON, S.R. (1973). Dynamic Behaviour of a Disc Refiner, International Mechanical Pulping Conference, Stockholm.
[3] DI RUSCIO, D. (1993). Topics in Model Based Control with Application to the Thermo Mechanical Pulping Process, Thesis 93-46-W, Division of Engineering Cybernetics, Norwegian Institute of Technology, N-7034 Trondheim.
[4] KANO, T., IWAMIDA, T. SUMI, Y. (1982). Energy Consumption in Mechanical Pulping, Pulp Paper Can., 8.6, T157-T161.
[5] MAY, W.D., MCRAE, M.R., MILES, K.B. LUNAN. W.E. (1988). An Approach to the Measurement of Pulp Residence Time in a Chip Refiner, Journal Pulp Paper Science, 14, J47-J52.
[6] MILES, K. (1990). Refining Intensity and Pulp Quality in High Consistency Refining, Paperi ja puu, 7.5.
[7] MILES, K., DANA, H.R. MAY, W.D. (1980). The Flow of Steam in Chip Refiners, Pre-prints, International Symposium Fund. Concepts of Refining. Appleton, WI, 30-42.Sept. 16-18.
[8] OLSEN, T.O. (1972). Modeling and Control of Ball Mill Grinding, Thesis 72-86-W, Division of Engineering Cybernetics, Norwegian Institute of Technology, N-7034 Trondheim.
[9] PARLET, B.N. (1976). A Recurrence Among the Elements of Functions of Triangular Matrices, Linear Algebra and its Applications, 14, 117-121 doi:10.1016/0024-3795(76)90018-5
[10] PETKOV, P.H., CHRISTOV, N.D. KONSTANTINOV, M.M. (1991). Computational Methods for Linear Control Systems, Prentice Hall International.UK Ltd.
[11] REID, K.J. (1965). A Solution to the Batch Grinding Equation, Chemical Engineering Science, 20, 953-963 doi:10.1016/0009-2509(65)80093-8
[12] STRAND, B.C. MOKVIST, (1989). A: The Application of Comminution Theory to Describe Refiner Performance, Journal Pulp Paper Science, 1.3, J100-J105.
BibTeX:
@article{MIC-1997-3-2,
title={{A State Space Model for the Wood Chip Refining Model}},
author={Di Ruscio, David and Balchen, Jens G.},
journal={Modeling, Identification and Control},
volume={18},
number={3},
pages={219--237},
year={1997},
doi={10.4173/mic.1997.3.2},
publisher={Norwegian Society of Automatic Control}
};