I have seen caps on vertical ventialtion shafts which seem to have blades and "free wheel" regardless of the direction of the wind
. The blades on one side "scoop" the moving air forcing it to spin and the opposite side the wind
I don't see why a tall vertical shaft with vanes couldn't be used to spin much like the prop types of horizontal wind generators... and drive the alternator
or whatever generators the electricity.
Perhaps the blade area needs to be sufficiently large to drive the altenator and overcome the resistance. Not an engineer
so I can't show this would work... but intuitively it seems it could.