Re: Bloody batteries and solar panels
cable under my road is rated for 400 Amps. One electric shower is 40A, one EV charger is 40A, and one heat pump is 40A. But my street has 30 houses, so the underground cable regularly overheats and fails
If it does so then that's something your local company needs to sort. It's not quite as bad as it sounds though - you make it sound as if each house needs 120A constantly and there's only 400A to go around.
Firstly, that 400A cable (assuming you are correct on that) is three-phase, and each house only takes one, so that's 10 houses (roughly), not 30. This means a fairly normal 40A capacity per house, though some installations can be higher. The calculation / risk is that no-one will be using all their allocation all the time, so it doesn't matter if they take more than 40A some of the time, and it's likely that the houses have 80A main fuses, possibly 60A. Some modern installations will have 100A fuses.
Secondly, the electric shower is a very short-term load and won't be exactly 40A. Common shower powers in the UK are 7.5kW, 8.5kW (both likely fused at 40A but drawing approx 32A and 37A at 230V) and 9.5kW and 10.5kW which will be fused at 50A and draw approximately 41A and 46A. Certainly for the 50A devices the installing electrician is required to ensure that the supply is capable and to do so a "maximum demand and diversity" calculation will have been made.
Shower loads are resistive and so very voltage-dependent - as the voltage drops, so will the power produced and the current draw.
The car charger, I don't really know as I don't have one. Those I have seen are 7kW, fused at 32A, not 40A and even if the thing is a typical switch-mode PSU and tries to draw more current as the voltage drops, it won't take much before the MCB pops - MCBs are not voltage-dependent. If the problem is structural outside your house then it will affect everyone else and such a condition is also likely to pop the fuse at the transformer. If this isn't happening - which it seems not to be if the cable is catching fire - then as I said, something bigger is wrong. Around here I would expect Western Power Distribution to be on the case fairly rapidly as they have been for other issues.
The heat pump has already been discussed by others, but I can see how a large installation might need a 10kW device - especially if you include the resistive heaters usually fitted to the hot water storage - but a note for those people currently running 35kW or 40kW "combi" boilers, heat pumps do not attempt to replace those; much less than that is needed by the space heating in most houses. A combi boiler needs that amount of power in order to produce decent quantities of hot water, "instantaneously". Heat pumps heat and store hot water in a cylinder, meaning less instant heat power is required, but it's needed over a longer period.
However none of these things is a constant load, all day, every day. Just because you take a ten-minute shower at 7am, it doesn't mean that all 9 of your same-phase neighbours are doing the same. This is the "diversity" I mentioned. On a smaller scale it's how you can connect an electric cooker to a 32A (7kW) circuit when it probably has 3kW + 2kW + 2Kw +1kW of hob, 2kW of oven, maybe 2kW of grill and a 13A socket outlet at the switch - if you add all that up, it comes to a potential draw of 15kW which is 65A! Thermostatic controls and the way the oven is used mean this never happens in practice so the diversity calculation for an oven (from memory because I don't have the book to hand) is something like:
10A + 30% of remaining load + 5A if a socket is fitted
Using that on the above example (52A cooker + 13A socket) gives a diversified load of 10A + 30% of 42A + 5A = 27.6A, well within the 32A allowed.
M.