I know not directly answering your question, but I run a 100L batch from LPG no problems at all. I like to have way too much power, rather than not enough. I have 2 Nasa burners under my 140L pot (100L BIAB batch) and I can get the water to strike temp in about 15mins if I run the burners hard. The great thing is I have infinately adjustable heat, so once I get to the boil I can drop them back to a good strong rolling boil. I have a couple of videos on my website(link in sig) under burners and also 100L BIAB pages.
As Thirsty Boy has shown the maths for electric above, you would need as a minimum 2 x 15amp power points (or 3 x 10amp), not the type of thing the average house has spare. That was calculating on 100L of water, if you wanted 100L final vol, then you may need a larger starting vol to bring up to temp.
Also I'm not sure if you are looking at BIAB or 3V. With 3V you only need to heat a smaller amount of water up front for the mash in, and while it is mashing you can bring the sparge water up to temp. Also if you want to run any heat exchanger herms/rims you need to allow more power there. With BIAB you bring the full vol up to temp initally. Once the lot is in the kettle there is no real difference.
With my 3V I building (almost finished, but its been over long period lol) will allow up to a 100L batch.
A 140L pot for the kettle with 2 x Nasa
Mash tun with 2400w RIMS
82L HLT with just a 2200w element.
I plan on heating the initial strike water in the kettle using the nasas, and transferring that to the mash tun.
Then while I'm mashing I can heat the sparge water in the kettle, transferring that to the HLT for holding. (or I'm even thinking of using a lpg burner under the HLT) The little 2200w element in the HLT will only need to maintain the temp of the sparge water ready for when I need it.
This means I can run the entire system on 2 x 10amp power points.
QldKev
QldKev