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Thank you for explaining it.
It does not yet make sense to me. It just feels wrong. I understand that you may normalize 4W in 15 minutes to 16Wh because it would use 16W per hour if it would run that long.
Why can't you simply assume that I mean 1kWh per hour when I say 1kWh? And not 1kWh per 15 minutes.
A watt is 1 Joule per Second (1 J/s). E.g. Every second, your device draws 1 Joule of energy. This energy over time is called "Power" and is a rate of energy transfer.
A watt-hour is (1 J/s) * (1 hr)
This can be rewritten as (3600 J/hr) * (1 hr). The "per hour" and "hour" cancel themselves out which makes 1 watt-hour equal to 3600 Joules.
1 kWh is 3,600 kJ or 3.6 MJ
kWh is a unit of power consumed. It doesn't say anything about time and you can't assume any time period. That wouldn't make any sense. If you want to say how much power a device consumes, just state how many watts (W) it draws.
Thanks!