Assuming the electrical breakdown probability follows the two-parameter Weibull
distribution function:
📷
F(E): the failure rate; E: electric field (MV/m); β: shape factor; α: Electrical breakdown
at F(E)=63.2%.
We have two sets of experimental data for epoxy resin as shown in the Tables below: Please use the above Weibull distribution function to calculate the electrical breakdown strength and Shape factor, plotting the data along with the fitted curve. (Use your favorite graphic software to do the numerical fitting and plotting).
Data set 1
Eb(MV/m)
F(E)
490.2715
0.06659
510.1115
0.16476
530.5674
0.26021
535.4301
0.35856
540.6819
0.45193
550.9909
0.55406
555.6591
0.64646
560.7164
0.74665
570.8309
0.84178
591.4813
0.94001
Data set 2
Eb(MV/m)
F(E)
550.7964
0.06935
565.3846
0.16731
580.5564
0.26399
590.7033
0.35617
595.566
0.4603
600.8178
0.56013
610.7378
0.65265
615.406
0.74665
620.2687
0.84178
625.715
0.93712