Who do you think runs connectivity for your average electrical grid outside of the power cables themselves?
There are superposition modems but those assume that the lines themselves aren't damaged so there usually is a whole SCADA system on either a private cellular network or through fiber or copper (depending on age) owned by the telcos.
FWIW during the massive blackout in the early 00's in North America and Canada the telco system held up remarkably well (until the fuel ran out in some places).