A kilowatt-hour (kWh) is a unit of energy equal to 1,000 watts used for one hour. Utility bills charge for electricity by the kWh, and a solar system's output is estimated in kWh, while its size is rated in kilowatts (kW).
Also called: kWh, Kilowatt hour
A kilowatt (kW) is how fast electricity is being used or produced at a given moment. A kilowatt-hour is how much was used or produced over time. On a hose, kW is the gallons per minute and kWh is the water in the bucket.
The math is one multiplication, kWh = kW × hours, and a kW is 1,000 watts.
Example: A 1,500-watt heater draws 1.5 kW. Running for 4 hours, it uses 1.5 × 4 = 6 kWh. A 500-watt work light left on for 12 hours also uses 6 kWh: a third of the power for three times as long. The wattages are round numbers for illustration.
Equipment that cycles rarely runs at full rating for hours, so spec-sheet watts times hours is a high-end estimate. Put numbers in writing only from the customer's bills or measured use.
The meter counts kWh, and the energy part of a typical home's bill is the kWh used times a price per kWh, sometimes split into supply and delivery lines. Other charges don't follow usage at all, such as a fixed monthly charge. Some rate plans also change the price by time of day, step it up in tiers as usage rises, or add a demand charge based on the highest kW drawn during the billing period.
That matters when you talk about savings. The total bill divided by the kWh used gives an average that includes fixed charges, which don't shrink when usage does.
Example: A bill shows 1,000 kWh at $0.18 per kWh ($180) plus a $20 fixed charge, $200 in all. The average works out to $0.20 per kWh, but using 100 fewer kWh saves $18, not $20, because the fixed charge stays. The rates are made up for illustration.
Example: A customer's daily driving takes about 20 kWh of charging. At 8 kW that's about 2.5 hours; at 2 kW, about 10 hours. Either way the car takes on about 20 kWh, so at $0.15 per kWh the energy costs about $3 a day. The bigger charger changes the time, not the kWh. The numbers are made up for illustration.