Wanted to share some data on what looks to be decent info for sizing a system to go off-grid without a generator (in Gauteng), based on my experience so far.
My household's load in the last 5 months totalled 1108kWh. Only giving the last 5 months, as this is the worst period for JHB generation. That's about 221 kWh a month.
Note, I haven't added a geyser to this. I am assuming the geyser for a typical household, if serious about going off-grid, is running off a heatpump (that will add about 100kWh a month to my above 221kWh figure for a family of 5) or a standalone solar system with a Gas backup.
Adding geysers to inverters is just not a good idea for going off-grid, as you will need a generator, and there is no way around that without spending huge amounts on the solar install to cater for it.
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My battery capacity was 12kWh during this period until I increased it to 17 kWh recently. The lowest the 12kwH GEL bank ever dropped was to about 50%, and that happened maybe 2x this whole year.
So we can get our first bit of data here, I used 6kWh at my worst point. My load is 7.3KwH average a day, so you basically only need enough battery to last 24 hours.
My PV array (inverter connected only, not counting my geyser panels) is 5.14kW. Data from PV Watts, with generation estimates based on weather and my very poor mounting angle, leads to a generation of 2853kWh in those 5 months.
My load was 1100kWh over the same period, so it is a ratio of 1:2.6. For every kWh of consumption, you need 2.6 times the generation.
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Having enough battery to last 24hours of consumption and 2.6 times the generation to load, I have been able to get away with not using a generator.
There are some inaccuracies, as when the clouds bit really badly, my pool was off, but all other day-to-day activities in the house were done. I would shed about 2kWh from just not running the pool, which ran about 4 hours a day this year. But this is something a typical solar user does already.
If I had my geyser on the inverter and going off the same figures, with my geyser having used an average of 7kWh a day when grid connected on a timer. Then I would need 15kWh of battery and about 10.2kW of solar. And that is being conservative on the battery side of things, as generation during heavy clouds between a 5kW system and a 10kW system would be within a few hundred watts, so you can't make up the 7kWh deficit by just doubling the panels. The only real fix would be more batteries to ride it out.
So basically, get enough battery to last 24 hours with zero generation.
Get enough panels to generate at least 2.6 times your load requirements (could be less, as keep in mind my panels are south west facing).