Comparison of optimization software

The highly accelerated stress test (HAST) method was invented by Nihal Sinnadurai while working as a Research Engineer at British Telecommunications Research Laboratories in 1968 in order to perform highly accelerated reliability testing of electronics components that are likely to encounter humid environments during normal (ambient) operation. The method uses the principle of a non-saturating autoclave designed and engineered with no moving parts, to deliver close temperature (<1°C) and humidity (<2%RH) control and a high reliability of the stress equipment. Nihal Sinnadurai and his team carried out many millions of device hours of reliability stress testing in HAST chambers, and arrived at a clear correlation with a humidity exponent as the stress accelerating agent.

The acceleration factor for elevated humidity is empirically derived to be

$AF_{H}=e^{(Constant*(RH_{s}^{n}-RH_{o}^{n})}$

Where RH_s is the stressed humidity, RH_o is the operating environment humidity and n is an empirically derived constant (usually 1<n<5)

The acceleration factor for elevated temperature is derived to be

$AF_{T}=e^{(E_{a}/k)*(1/T_{o}-1/T_{s})}$

Where E_a is the activation energy for the temperature induced failure (most often 0.7eV for electronics), k is Boltzmann's Constant, T_o is the operating temperature in Kelvin, and T_s is the stressed temperature.

Therefore the total acceleration factor for unbiased HAST testing is

$AF_{HAST}=AF_{H}*AF_{T}=e^{(Constant*(RH_{s}^{n}-RH_{o}^{n})}*e^{(E_{a}/k)*(1/T_{o}-1/T_{s})}$

References

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1. F. N. Sinnadurai, "The Accelerated Ageing of Semiconductor Devices in Environments Containing a High Vapour Pressure of Water", Microelectronics and Reliability, Vol. 13, pp 23–27, 1974.
2. F. N. Sinnadurai, "Handbook of Microelectronics Packaging and Interconnection Technologies", Electrochemical Publications, 1985.
3. N. Sinnadurai "Plastic Packaging is Highly Reliable", IEEE Trans. Reliability, Vol. 45, No. 2, pp 184–193, June 1996.