Directly solar powered air conditioner

[MEMPHIS91]

I'm trying to do away with batteries all together.
I have panels, I have window unit, I do not, will not, never tie into the grid. I refuse to sleep with the enemy no matter how "good" it might be. I'm stubborn and it will probably be the death of me, but so be it.

Basically I only need the grid to "jump start" the window unit and then switch over to solar if the sun is out. No sun = less heat, less heat = less need of AC unit. I am just trying to use the extra power I have.

Questions, can you run one appliance from 2 power sources at the same time? Lets say 2 generators? A gen and the grid? Solar and gen? Or like the way I want it solar and the grid. Lets say the sun is shinning on half the panels, so 400 watts or so. And the unit need 480, is there a device, or can a device be made that would allow the 80 watts to be pulled from the grid and 400 from the panels? Crazy I know, but that really is what I'm asking, if this can't be done that is fine, I will just bury the idea and move on.