Abstract
The effective use of modern control theory requires suitable mathematical models of the objects to be controlled and of the disturbances. Paper machines have been controlled digitally for a long time. Digital control of basis weight and moisture content is in fact one of the few examples where a digital computer and sensors form a standard package. In spite of this there are still significant gaps in our knowledge of paper machine dynamics. This paper attempts to fill a few of these. The paper is based on measurements on full scale paper machines and on a pilot plant at the Swedish Forest Products Research Laboratory (STFI). The experiments on the industrial plants were performed using control computers with appropriate instrumentation both on craft paper and newsprint machines. The experiments on the pilot plant were carried out with different fibre, clay and water mixtures. These experiments gave insight into the effect of the pulp characteristics on paper machine dynamics. Optical gauges capable of measuring low fibre concentrations were used in the experiments. This made detailed analysis of the mixing dynamics possible. The possibility of obtaining better control through the incorporation of such gauges could also be evaluated.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Alsholm,O., Schoeffler, J. and Sullivan, P.: An On-Line Mathematical Model of a Fine- Paper Machine. ISA Conf. Paper, Los Angeles, 1965.
Eickelberg, J.E. and Adams, W.L.: A Multilevel Paper Machine Control System. PRP Conf. Brussels, 1971.
Gavelin, G.: Fourdrinier Papermaking. Lockwood Trade J, Co., New York, 1963.
Han, S.T.: Retention of Small Particles in Fibre Mats. TAPPI (1964),782 - 787,
Häggman, B.: Dynamiska Modeller for Vatpartiet pa en Pappersmaskin (Dynamic Models of the Wet End of a Papermachine, in Swedish). Thesis. Div. of Automatic Control, Lund Institute of Technology, May 1973.
Ingmanson, W.L.: Filtration of High-Consistency Fiber Suspensions, TAPPI £7, (1964), 742 - 750.
Mardon, J., Monahan, R.E., Mehaffey, W.H. and Dahlin, E.B.: A Theoretical and Experi-mental Investigation into the Stability and Control of Paper Machine Headboxes. Paperi
Ja Puu (Helsinki), 1, (1966), 3–14, 5, (1967), 301–310 and 4a, (1967), 189–197.
Meyer, H.: A Filtration Theory for Compressible Fibrous Beds Formed from Dilute Suspensions. TAPPI 45, (1962), 296–310
Nerelius, L., Norman, B. and Wahren, D.: Measurement of Flocculation Characteristics by Light Reflection. TAPPI 55, (1972), 574–580.
Ohlin, C.: A Mathematical Model of the Wire Part of a Fourdrinier Paper Machine. Report IBM Nordic Laboratory, May 1964.
Ramaz, A.L., Bauduin, S. and Marce, D.: Automation of a Paper Machine and its Ancillaries. BPBMA, Conf. Paper, Oxford 1969.
Rosenberg, B.: Matematisk Modell av en Pappersmaskin samt Modellstudium av kombinerad Reglering av Arkvikt och Kvarvarande Maid vid Register- valsarna (in swedish). Report. Division of Automatic Control, Chalmers Institute of Technology, Gothenburg, Sweden.
Schoeffler, J. and Sullivan, P.: A Model of Sheet Formation and Drainage on a Fourdrinier. TAPPI Eng. Conf., Minn. Sept. 1965.
Sullivan, P. and Schoeffler, J.: Dynamic Simulation and Control of the Fourdrinier Paper-Makin Process, Paper 223 IFAC Congress, London 1966.
Talvio, A.A.: A Study of Paper Machine Headbox Control System with Linear Transfer Functions. Paper 22A, IFAC Congress, London 1966.
Wahlstrom, B. and O’Blenes, G.: The Drainage of Pulps at Paper-Making Rates and Consistencies Using a New Drainage Tester. Pulp & Paper Mag. of Canada, 63, (1962), 405–417.
Åström, K.J.: Control Problems in Paper Making. Proc. IBM Scientific Computing Symposium on Control Theory and Applications. T.J. Watson Res. Center, October 1964.
Åström, K.J. and Bohlin, T.: Numerical Identification of Linear Dynamic Systems from Normal Operating Records. Proc. 2nd IFAC Symposium on the Theory of Self-Adaptive Control Systems, Teddington England 1965. In Hammond, P.H. (editor): Theory of Self-Adaptive Control Systems. Plenum Press, New York 1966.
Åström, K.J.: Computer Control of a Paper Machine - an Application of Linear Stochastic Control Theroy. IBM J. of Res. and Dev. 11, (1967), 389–405.
Å ström, K.J.: Lectures on Paper Machine Control - Simple Papermachine Modles. Report 7305 C, Division of Automatic Control, Lund Institute of Technology, April 1973.
Åström, K.J.: Introduction to Stochastic Control Theory. Academic Press N.Y. 1971.
Åström, K.J. and Eykhoff, P.: System Identification - A Survey. Automatica 7, (1971) 123–162.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1974 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Åström, K.J., Häggman, B. (1974). Paper Machine Dynamics. In: Mansour, M., Schaufelberger, W. (eds) 4th IFAC/IFIP International Conference on Digital Computer Applications to Process Control. Lecture Notes in Economics and Mathematical Systems, vol 93. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-65796-2_38
Download citation
DOI: https://doi.org/10.1007/978-3-642-65796-2_38
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-06620-0
Online ISBN: 978-3-642-65796-2
eBook Packages: Springer Book Archive