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Online proceedings - EDA Publishing Association

Online proceedings - EDA Publishing Association

Online proceedings - EDA Publishing Association

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24-26 September 2008, Rome, ItalyVII. CONCLUSIONSThe problem of constructing compact thermal models forconjugate heat transfer problems has been faced. The notion ofthermal multi-port modeling conjugate heat transfer has beengiven, by properly defining its port variables. The momentmatching method for the model reduction of heat conductionproblems has then been extended to construct compact modelsof the thermal multi-ports modeling conjugate heat transferproblems. The resulting compact models preserve the passivityand reciprocity properties of the original thermal problem and,as shown by a numerical example, can exhibit high levels ofaccuracy and compactness.REFERENCES[1] M. N. Sabry, “Compact Thermal Models for Internal Convection,” IEEETrans. Components and Packaging Technologies, Vol. 28, No. 1, pp. 58-64, 2005.[2] M. N. Sabry, “Flexible Profile Approach to the Steady Conjugate HeatTransfer Problem,” THERMINIC, Budapest, Hungary, 17-19 September2007.[3] L. Codecasa, “Compact Models of Dynamic Thermal Networks withMany Heat Sources,” IEEE Trans. Components and Packaging Technologies,Vol. 30, No. 4, pp. 653 - 659, 2007.[4] L. Codecasa, D. D’Amore, P. Maffezzoni, “Multipoint Moment MatchingReduction From Port Responses of Dynamic Thermal Networks,” IEEETrans. Compon. Packag. Tehnol., Vol. 28, pp. 1-10, 2005.[5] S. V. Patankar, Numerical Heat Transfer and Fluid Flow, Taylor & Francis,1980©<strong>EDA</strong> <strong>Publishing</strong>/THERMINIC 2008 57ISBN: 978-2-35500-008-9

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