Hum
This could work. Great idea for the simplicity.
Triac are being trigered by the sector, and the capacitor bost the voltage of the battery up to the grid (Even if I doubt it can do it )
BUT !
If it work
It will distor the AC and introduce some mighty harmonics into the grid and your house
On a little scale that is not that bad, but on a higher level you may end-up having harmonics issue in your home appliance. Motor and transformer overheating, buzz sound in tv and speakers. On a event higher lever, you local power grid company may chasse you up for problem in neighbor houses.
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Perfect is the enemy of better
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