Heat Conduction in Printed Circuit Boards: A Mesoscale Modeling Approach

Author:

Nakayama Wataru1

Affiliation:

1. ThermTech International, 920-7 Higashi Kosio, Oh-Iso, Kanagawa 255-0004, Japan

Abstract

An analytical model is developed to estimate the heat transfer performance of printed circuit board (PCBs). The PCB under study is the substrate for a ball-grid-array (BGA) package. Under the BGA, the PCB has a belt of densely populated through-vias that penetrate the laminate of horizontal copper and resin; outside the BGA-covered area the board is a copper/resin laminate and its surfaces are exposed to cooling air. Calculations are performed on a sample board having the dimensions 11×11 cm2 (footprint)×1.26 mm (thickness). The model of the board has two internal layers of continuous copper (0.03 mm thick) and through-vias under a 4.4×4.4 cm2 BGA package. The impacts of board design parameters on the temperature and the heat flow are presented; the parameters are the width of the insulation gap around the via, the area of copper coverage at the via bottom, and the population of vias.

Publisher

ASME International

Subject

Electrical and Electronic Engineering,Computer Science Applications,Mechanics of Materials,Electronic, Optical and Magnetic Materials

Reference21 articles.

1. The Build-Up Approach to Combat Complexity and Uncertainties in Thermal Analysis of Compact Electronic Equipment: A JSME Project;Nakayama

2. Thermal Analysis of Circuit Boards and Microelectronic Components Using an Analytical Solution to the Heat Conduction Equation;Ellison

3. PCB Trace Thermal Analysis and Effective Conductivity;Lemczyk;ASME J. Electron. Packag.

4. Effects of Boundary Conditions and Source Dimensions on the Effective Thermal Conductivity of a Printed Circuit Board;Shabany

5. Use of a 1-Dimensional Heat Flow Model to Calculate Circuit Board Thermal Resistance for use in the MQUAD® Package Thermal Model;Robinson

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