I must admit in an ideal world we would not be using nuclear...... the waste takes 1000s of years to be fully safe and even the safest system can fail. the chances of disaster are low but IF disaster happens it's a doozy.
and that is ignoring potential for terrorism or acts of war.
that said for now (due imo to not doing enough over the last 30 years) nuclear is the only practical solution for a low carbon emission backbone.
renewables are amazing and unless fusion becomes viable are the future, but at a guess (numbers out of my rear) we probably need 3x the amount of off shore wind generation, 10x the amount of onshore wind, combined with solar, tidal and geothermal where possible , not to mention a boat load of storage (electric cars may help). none of which will happen over night.
so personally I consider myself resigned to nuclear for the next 30 years or so but I don't think we should be aiming to use it long term.
I'll make a stab at numbers, assuming currently existing technology and assuming a single global (or at least transcontinental) electricity grid isn't part of the plan (which it shouldn't be as there's no reason to think that it's possible any time in the foreseeable future). I'll use rounding and assumptions for convenience - this is just ballpark stuff. I'll also lump onshore and offshore wind together to simplify things for myself.
Peak electricity usage is ~55GW.
Other energy usage is ~5.4 times electricity usage.
An assumption - peak overall energy usage and peak electricity usage could occur at the same time.
So if all energy use is met by electricity (which is part of the zero-emissions plan) that would put peak UK electricity usage at ~300GW.
Current nameplate generating capacity of wind in the UK is 25GW.
So that would mean needing 12x as much as we have now.
But nameplate generating capacity is a lie for renewables other than some implementations of geothermal, so 12x is nowhere near enough.
In the UK, well positioned wind power stations working perfectly will average a third of their nameplate generating capacity. Offshore is much better than onshore in that respect - high 30s and high 20s.
So that would mean needing 36x as much as we have now.
But average isn't enough when you're talking about wildly varying and uncontrollable sources of power. Wind quite often drops below 10% of nameplate capacity, across the whole of the UK.
So that would mean needing 120x as much as we have now. And that would still result in us being dependent on buying electricity from other countries. France, mainly, as that's by far the least difficult and expensive interconnect. But wind power generation in France would usually be reduced at the same time as wind generation in the UK (weather patterns are often much larger than the UK) so they might not have spare at that time if they also went 100% renewables.
Solar in the UK has a much lower load factor than wind in the UK, of course. We're not a very sunny place, on the whole.
If we had a boatload of storage that would help a lot. But the technology doesn't exist yet. Hopefully it will at some point in the future. Being able to go full renewables would probably be more about better storage than better generation.