This sort of thing was called “smartgrid” but it doesn’t seem to have caught on. Maybe we could lean into modern buzzwords.

The electricity distribution system is a big sparse graph. If they are allowed to pass signals back and forth, don’t look too close, and maybe we can call it an AI enhanced grid. Then we can call this sort of ability to schedule appliances based on those signals “closed loop AI enhanced green appliances” or something similarly buzzwordy.