Remember, these numbers allocate to individuals consumption by companies, government, etc., so you can't directly compare your electric bill to these numbers.
The figures quoted above underscore a fallacy in the BBC assumptions -- they assume that the average electricity consumption in the world rises by 2035 to equal the consumption in the UK today. How likely do you think that is?
On the other hand, I still maintain that they've done their sums very poorly. Daily average consumption doesn't tell you a great deal about how many power plants you need to build; to determine that, you need to know the
peak load (after demand-side management), the reliability of the generating and transmission gear, and the target reliability, all of which goes into computing the installed capacity reserve requirement. If the average daily consumption is 10.4 kW, the typical load factor (the ratio of average load to peak load) is about 55%, so you your contribution to peak consumption is about 18.9 kW on average. The typical reserve margin requirement is 115% of peak, so we're up to needing 21.7 kW of generation per person in the US -- nearly double the average load. Thus, the BBC has understated the severity of the problem by a factor of two.
Furthermore, the BBC assumes that the power plants on the ground today will still be operating in 2035. That's very unlikely; the typical economic lifetime of non-hydro renewables and gas-fired generation is about 20 to 25 years, so to a good first approximation,
all of the existing assets in those categories will be need to be replaced by 2035. Likewise, all coal plants (at least in North American and Europe) will have been retired, and all the currently operating nukes.
There is a very, very large market for power generation in the future!
