A Semi-Analytical Method to Predict Printed Circuit Board Package Temperatures

John N. Funk, M. Pinar Mengüç, Kaveh A. Tagavi, Clifford J. Cremers

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


In this paper, a quick, easy-to-use method is developed to predict steady-state temperatures on printed circuit boards (PCB's) subjected to heating by single or multiple heat sources. The method includes separate analytical solutions for the circuit board and for the chips to be mounted on the board. The board solution is developed using the Green's function method for solving the heat diffusion equation in the board. For the chip, the solution of the heat diffusion equation is obtained using the method of separation of variables. The temperature solution for the package is determined using an iterative procedure between the chip model and the board model. The accuracy of the method is verified by comparison with detailed finite element techniques.

Original languageEnglish
Pages (from-to)675-684
Number of pages10
JournalIEEE Transactions on Components, Hybrids, and Manufacturing Technology
Issue number5
StatePublished - Oct 1992

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • General Engineering
  • Industrial and Manufacturing Engineering
  • Electrical and Electronic Engineering


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