This paper shows how to determine the electrode contour with the best insul
ation performance on the basis of an area effect and a volume effect in the
breakdown field strength. Previous electric field optimization techniques
have provided us only with an optimum electric field distribution. For the
design of power apparatus insulation, we have to consider the dielectric br
eakdown characteristics rather than the electric field distribution. As a f
irst step, we developed a new optimization technique which enables us to ob
tain an optimum electrode contour with the highest breakdown strength while
taking into account the area and volume effects of breakdown strength of i
nsulating media. From the results, we have confirmed that the proposed opti
mization method improved the breakdown voltage more than did the electric f
ield optimization. This leads to an effective insulation design of electric
power apparatus.