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

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

Abstract

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.

Citation

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. https://doi.org/10.1002/jnm.586

• Journal Article Type: Article
• Acceptance Date: Apr 14, 2005
• Online Publication Date: Aug 17, 2005
• Publication Date: 2005-11
• Journal: INTERNATIONAL JOURNAL OF NUMERICAL MODELLING-ELECTRONIC NETWORKS DEVICES AN
• Print ISSN: 0894-3370
• Publisher: Wiley
• Peer Reviewed: Peer Reviewed
• Volume: 18
• Issue: 6
• Pages: 399-411
• DOI: https://doi.org/10.1002/jnm.586
• Keywords: TLM; Heat transfer; Feedback
• Public URL: https://hull-repository.worktribe.com/output/396050
• Publisher URL: https://onlinelibrary.wiley.com/doi/abs/10.1002/jnm.586