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On most modern EVs, that's at least 3 days worth of power if the vehicle is not being driven. Larger vehicles naturally have far larger batteries.
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That's 2-3 days worth without changing your use pattern, which surely you would do if you expected a long blackout period?
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Is that 30 kW each hour of the day or 30 kW per day?
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30 kWh per day, while a clunky unit, is what most people would understand when talking about home consumption. It’ll be what their utility typically reports, how you’d want to size a battery, etc.
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Sort of neither?

It's 30kW for one hour.

(Or 1.25kW for 24 hours, or however you prefer).

[Link: https://en.wikipedia.org/wiki/Kilowatt-hour]

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Pretty sure GP understands that, their point being you can't just wave away 'per unit time' when talking about it relative to generation, it matters.
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"30kW per day" makes no sense. It's like saying "I drove at 100km/h per day". W is a unit of power, Wh is a unit of energy.

It's unintuitive because a guy named Watt decided "Joule per second" is Watt, so the units Joule and Joule per second got turned on their head to W times hour and Watt. This is opposite to usual intuition of distance and speed for example, km and km/h. If I redefined the km/h to a "tick", then a km would become "tick times hour".

If you want a "better than nothing" but imperfect analogy, Wh is how much water you have in a bottle, and W is how quickly you can get the water out.

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"30kWh per day" isn't waving away anything.

30kW is a rate.

30kWh is a measure of energy, about 100MJ.

30kWh/day is a rate again, 100MJ/day.

It seems clunky, but it's a way energy usage in a house is typically measured.

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