In this case, there are two distinct timescales involved: the scale on which the energy is used (an hour or day) and on which it's generated (a second). It's ok to keep track of those separately.
If you want to compare, however, you will have to convert to common units, and I at least find it easier to use watts and joules than watt-hours/second and watt-hours. By all means convert to stationary-bike-hours and big macs or whatever unit at the end but calculations are easier in the SI units.
Hubble's constant is expressed like that because it is a nice unit for the math.
Three really: seconds, hours and days.
8 kWh per day = 8 Joules per second ⋅ hours per day ~= 330 Watts
Sometimes you even get four time units in one go. e.g. "I averaged 8 kWh per day last year"
It's madness.
You use 8kwh==28.8MJ of energy per day. 28.8MJ/7MW turbine is about 4 seconds, as a watt is a joule per second.