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Analysis of a PDE Thermal Element Model for Electrothermal Circuit Simulation

  • Giuseppe AlìEmail author
  • Andreas Bartel
  • Massimiliano Culpo
  • Carlo de Falco
Conference paper
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 14)

Abstract

In this work we address the well-posedness of the steady-state and transient problems stemming from the coupling of a network of lumped electric elements and a PDE model of heat diffusion in the chip substrate. In particular we consider the thermal element model presented in [1] and we prove that it can be controlled by any combination of voltage sources (imposing the average current in a region of the chip) and current sources (imposing the Joule power per unit area produced in a region) connected to its temperature nodes. This result justifies the implementation of the element as a linear n-port conductance as carried out in [2].

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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Giuseppe Alì
    • 1
    • 2
    Email author
  • Andreas Bartel
    • 2
  • Massimiliano Culpo
    • 2
  • Carlo de Falco
    • 3
  1. 1.Università della CalabriaArcavacata di RendeItaly
  2. 2.Bergische Universität WuppertalWuppertalGermany
  3. 3.Dublin City UniversityDublin 9Ireland

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