A method for algebraic analysis of the TLM algorithm

An analogy is described between the TLM algorithm and discrete state‐space control theory. The analogy is used to derive the characteristic equations corresponding to parametrized model structures. Characteristic equations corresponding to several widely used node structures are derived by this mean...

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Bibliographic Details
Published inInternational journal of numerical modelling Vol. 8; no. 1; pp. 61 - 71
Main Authors Witwit, A. R. M., Wilkinson, A. J., Pulko, S. H.
Format Journal Article
LanguageEnglish
Published Sussex John Wiley & Sons, Ltd 01.01.1995
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ISSN0894-3370
1099-1204
DOI10.1002/jnm.1660080107

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Summary:An analogy is described between the TLM algorithm and discrete state‐space control theory. The analogy is used to derive the characteristic equations corresponding to parametrized model structures. Characteristic equations corresponding to several widely used node structures are derived by this means and found to be consistent with the observed behaviour of corresponding TLM models. An example is given of the use of the analogy in teh predictive mode.
Bibliography:ark:/67375/WNG-838ZLFSM-G
istex:0FDB6CB3D2C40497E39A60F6A25439DCAFDB0A05
ArticleID:JNM1660080107
Susan Pulko obtained a B.Sc. in physics together with an ARCS from Imperial College (London) in 1977. This was followed by a Ph.D. from the University of Nottingham in 1981. Her current research interests centre on the TLM algorithm and on its application to a range of physical processes, especially as applied to manufacturing. Current work involves development of the algorithm itself and TLM applications in the glass and ceramic industries.
Anthony James Wilkinson graduated from the niversity of Hull with a B.Sc. in Electronic Engineering in 1982 and a Ph.D. in adaptive control in 1987. He is currently a lecturer in the Department of Electronic Engineering where his research interests include TLM algorithms and computer control of magnetostrictive actuation.
Abdul Mehdi Witwit was born in Babylon in 1965. He graduated in Electronic Engineering from the Univeristy of Hull in 1990. He has recently submitted his Ph.D. thesis on the topic of meshing in TLM diffusion problems.
ISSN:0894-3370
1099-1204
DOI:10.1002/jnm.1660080107