Strange this is not getting more PR in hot regions. Oversize daytime solar to cool building plus store cooling in water tanks. Release cooling in the evening and night. I would imagine this being much cheaper than grid batteries.
Trane Thermal Battery™ systems are premier HVAC plants that provide a distributed resource for our changing grid. Their ability to store thermal energy enables your building to reliably modify HVAC operations to optimize for carbon reduction or energy cost savings.
www.trane.com
Update:
Oh, there was a company called Ice Energy trying to do this for residential applications, seems to have gone out of business. Weird. But for condo and apartments, the commercial Trane units should be doable.