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An investigation of the effect of feedback on TLM nodes representing heat transfer

Koay, A. L.; Pulko, S. H.; Wilkinson, A. J.


A. L. Koay

S. H. Pulko

Dr Antony Wilkinson
Lecturer/ Programme Director for Electronic, and Electrical & Electronic Engineering Programmes


TLM is a very successful technique for modelling thermal transients in heat transfer systems. However, useful though transient modelling is, there are many systems in which the desired thermal behaviour can only be obtained by direct, real-time intervention. Current methods achieve this on an ad hoc basis. Here we consider a more formal approach to the design of this intervention. At the first stage in the development of this more formal approach, we consider the effect of feedback on TLM nodes modelling heat transfer; both the parabolic and the hyperbolic nodal parameterizations are considered. The design of state feedback, applied via current generators, is developed algebraically and demonstrated numerically. Ranges of feedback stability are derived in terms feedback gain, discretization and material properties. Copyright © 2005 John Wiley & Sons, Ltd.


Koay, A. L., Pulko, S. H., & Wilkinson, A. J. (2005). An investigation of the effect of feedback on TLM nodes representing heat transfer. International journal of numerical modelling, 18(6), 399-411. doi:10.1002/jnm.586

Journal Article Type Article
Acceptance Date Apr 14, 2005
Online Publication Date Aug 17, 2005
Publication Date 2005-11
Print ISSN 0894-3370
Electronic ISSN 1099-1204
Publisher Wiley
Peer Reviewed Peer Reviewed
Volume 18
Issue 6
Pages 399-411
Keywords TLM; Heat transfer; Feedback
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