# Optimizing the reliability of power electronics module isolation substrates

Bailey, Christopher, Tilford, Tim, Ridout, Stephen and Lu, Hua (2008) *Optimizing the reliability of power electronics module isolation substrates.* EngOpt 2008: International Conference on Engineering Optimization. Universidade Federal do Rio de Janeiro, Rio de Janeiro, Brazil. ISBN 978-85-7650-152-7 (print and CD ROM)

## Abstract

Optimal design of a power electronics module isolation substrate is assessed using a combination of finite element structural mechanics analysis and response surface optimisation technique. Primary failure modes in power electronics modules include the loss of structural integrity in the ceramic substrate materials due to stresses induced through thermal cycling. Analysis of the influence of ceramic substrate design parameters is undertaken using a design of experiments approach. Finite element analysis is used to determine the stress distribution for each design, and the results are used to construct a quadratic response surface function. A particle swarm optimisation algorithm is then used to determine the optimal substrate design. Analysis of response surface function gradients is used to perform sensitivity analysis and develop isolation substrate design rules. The influence of design uncertainties introduced through manufacturing tolerances is assessed using a Monte-Carlo algorithm, resulting in a stress distribution histogram. The probability of failure caused by the violation of design constraints has been analyzed. Six geometric design parameters are considered in this work and the most important design parameters have been identified. Overall analysis results can be used to enhance the design and reliability of the component.

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