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===Electronic Devices Example===
<noinclude>{{Banner ALTA Examples}}</noinclude>
Twelve electronic devices are put into an accelerated life test. The accelerated stresses are temperature and voltage, with use level conditions of 328K and 2V, respectively. The following table shows the data from the test:


Twelve electronic devices were put into a continuous accelerated test. The accelerated stresses were temperature and voltage, with use level conditions of 328K and 2V respectively. The data set obtained is shown in the table below:


[[Image:11_2ex.png|center|300px|]]
[[Image:11_2ex.png|center|300px|]]


Do the following:
Do the following:


1) Using the T-NT Weibull model, analyze the data in ALTA and determine the MTTF and B(10) life for these devices at use level. Determine the upper and lower 90% 2-sided confidence intervals on the results.
1) Using the T-NT Weibull model, analyze the data and determine the MTTF and B(10) life for these devices at use level. Determine the upper and lower 90% 2-sided confidence intervals on the results.


2) Examine the effects of each stress on life.  
2) Examine the effects of each stress on life.  


====Solution====


1. The data set was analyzed in ALTA and the following MTTF and <math>B(10)</math> life results were obtained: (''The results are shown in ALTA's QCP in the following figures.'')
 
'''Solution'''
 
1. Analyze the data set in the ALTA standard folio and use the Quick Calculation Pad (QCP) to compute for the MTTF and <math>B(10)</math> life. The results are shown next.
   
   
[[Image:pv_ex2_1.gif|center|500px|]]
[[Image:pv_ex2_1.gif|center|500px|]]


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2. The next two figures examine the effects of each stress on life.


Specifically, the next figure shows the Life vs. Voltage plot with temperature held constant at 328K.
2. The next two figures examine the effects of each stress on life. Specifically, the first figure shows the Life vs. Voltage plot with the temperature held constant at 328K. The second figure shows the Life vs. Temperature plot with voltage held constant at 2V.
 
 
[[Image:ALTA14.6.gif|center|550px|The effects of voltage on life, with temperature held constant at 328K.]]
 


[[Image:ALTA14.6.gif|thumb|center|550px|The effects of voltage on life, with temperature held constant at 328K.]]
[[Image:ALTA14.7.gif|center|550px|The effects of temperature on life, with voltage held constant at 2V.]]


The next figure shows the Life vs. Temperature plot with voltage held constant at 2V.


[[Image:ALTA14.7.gif|thumb|center|550px|The effects of temperature on life, with voltage held constant at 2V.]]
The next figure shows a 3D plot of reliability (at a constant time) versus both stresses. As you can see, the reliability declines slightly faster with the change in temperature than with the change in voltage. Note that in the following plot, Stress 1 refers to temperature and Stress 2 refers to voltage.


The next figure shows a 3D plot of reliability (at a constant time) versus both stresses. One can observe that reliability declines slightly faster with the change in temperature than with the change in voltage. Note that in the following plot, Stress 1 refers to temperature and Stress 2 refers to voltage.


[[Image:ALTA14.8.gif|thumb|center|450px|The combined effects of voltage and temperature on the reliability, as plotted in ALTA.]]
[[Image:ALTA14.8.gif|center|450px|The combined effects of voltage and temperature on the reliability, as plotted in ALTA.]]

Revision as of 04:25, 15 August 2012

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Twelve electronic devices are put into an accelerated life test. The accelerated stresses are temperature and voltage, with use level conditions of 328K and 2V, respectively. The following table shows the data from the test:


11 2ex.png


Do the following:

1) Using the T-NT Weibull model, analyze the data and determine the MTTF and B(10) life for these devices at use level. Determine the upper and lower 90% 2-sided confidence intervals on the results.

2) Examine the effects of each stress on life.


Solution

1. Analyze the data set in the ALTA standard folio and use the Quick Calculation Pad (QCP) to compute for the MTTF and [math]\displaystyle{ B(10) }[/math] life. The results are shown next.


Pv ex2 1.gif


Pv ex2 2.gif


2. The next two figures examine the effects of each stress on life. Specifically, the first figure shows the Life vs. Voltage plot with the temperature held constant at 328K. The second figure shows the Life vs. Temperature plot with voltage held constant at 2V.


The effects of voltage on life, with temperature held constant at 328K.


The effects of temperature on life, with voltage held constant at 2V.


The next figure shows a 3D plot of reliability (at a constant time) versus both stresses. As you can see, the reliability declines slightly faster with the change in temperature than with the change in voltage. Note that in the following plot, Stress 1 refers to temperature and Stress 2 refers to voltage.


The combined effects of voltage and temperature on the reliability, as plotted in ALTA.