Some saying I need a 3KVA, others insisting I need a 5KVA
Also quoting brands to justify their prices
Most companies that I contacted recommended a 5KVA inverter with 5KW battery and the prices soared north of R55K without install. With install, easily over R60K. Some recommended Sunsynk inverters which are fantastic but the idea of paying R25-30K for an inverter was not feasible.
Also without exception, ALL of these companies told me that I would NOT be able to run my kettle on a 3KVA system. Some of the companies I contacted only install 5KVA systems and above, some only recommend Sunsynk inverters (very, very pricey), so it was difficult to navigate all of this.
When my installer was doing the work he basically gave me a choice - put all appliances on the inverter (save for the oven/stove and geezer, or separate circuits for the kettle, microwave and washing machine. We tested the kettle and no issues whatsoever. Tested the microwave, no issue. Plenty of overhead available for that. Washing machine, no problem (if it's a quick wash).
Prior to the install I was worried I wouldn't be able to use any of these high wattage appliances, but my concerns were put to rest so long as I use them one at a time
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For what you need I reckon 3KVA will be more than sufficient and remember, you aren't using an AV receiver and a subwoofer like I am which will give you additional headroom as far as capacity is concerned.
I originally wanted to buy 2 x Hubble S-100A batteries which would have saved me a few thousand rand over the Hubble AM-4 battery but again, I figured I'd rather spend the additional and get extra peace of mind and a more bullet-proof battery.
I'm still planning on buying a gas hob because cooking on gas is going to change my life apparently.

It's funny, my installer told me in the first week you'll be scurrying around checking to see how much power is being used on the inverter. After that, you forget about it and live life as if nothing changed - he was right. I don't bother checking load shedding schedules anymore.
Not sure which inverter you plan on buying, with my Kodak inverter it initially made a VERY loud and distracting beeping noise when transitioning between Eskom power and battery power so I had it disabled. Peace and quiet.