somebody else in CT mentioned that has the program to discharge batteries during peak times to manage the load, but that program seems to be a very defined one in that it happens automatically based on specific criteria.
That's the ConnectedSolutions program. ConnectedSolutions | Tesla
And only offered by Eversource that covers 90% of CT.
My utility is United Illuminating which covers the rest of CT does not offer CS.
Where I moved from was in the Eversource service area, but since I didn't have solar, it didn't make much sense to join the program:
Powerwall systems not paired with solar generation will not be allowed to export power to the grid, but will still be able to discharge to serve home load. This limitation will greatly reduce the earning potential, but if the home load during events averages 1kW, Powerwall can still earn as much as $200 a year in MA and CT, and $290 a year in RI.