Saves me saying it.
3/8th sphere produces lift. You have to strap them down so they don't blow away. 5/8th sphere has more frontal area but proportionately less lift so IDK.
'Any way the wind blows, doesn't matter to me, to meeee' Freddy Mercury
The zenith of the dome has the fastest local air. So, a vertical axis windmill there. Follow Julian Edgar's article on Autospeed on vibration damping for the mount.
autospeed.com.au/cms/a_112904/article
Fan above and generator below the mounting point in counterbalance.
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I'm thinking bout re-registering over at
EcoRenovator and posting a design brief there.