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

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