I have a 12 kW inverter (single phase) and 48 kWh battery. In Australia, 9 months of the year my 16 kW of solar fills the battery and covers all needs including cooking, heating and charging the EV.
In winter, I’ve been using Ovo’s 3 hours free for about a year now and that ensures the battery is filled up daily. My electricity bill returns a credit every month since I got the battery a year ago.