You need to talk about the future of nuclear power, not the past. Most generators are 30-50 years old now, and are beginning to show their age. Fourth gen reactors are in development and are both cheap(taken over their entire lifetime), more reliable, and much safer. (They litterally can't melt down)
Nuclear is cheapPoint is, by 2040, IIRC, energy use will have quadrupled world wide. Green power might follow, but there simply aren't enough mineral resources around to build more windmills and such. Rare metal prices are staggeringly high already, and will only rise.
Link. This will have a direct impact on their price.
Nuclear is on average 10% cheaper than any other power source (except hydro and some fossils). Nuclear costs are going to remain over their lifetime, while all others are expecting to rise.
Nuclear is safer than green powerAll the radiation sharts and such.
Nuclear engineering is responsible for most advanced scans in medical things. If you took a dive in a nuclear fuel cell containment pool, you'd recieve less radiation that if you'd remain outside.*
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the generation power can't melt down (increased melting point of radioactive materials that the reactor can't achieve. Some designs shut down on their own).
*Provided you don't touch the glowing bits.
Nuclear is stableThis is the largest problem with green power sources. Variable output requires other installations or batteries to kick in to replace the deficit. However, turning on and off rapidly is expensive and polluting. In fact, The Guardian calculated that a group of wind turbines placed before the coast of England actually increased pollution output of the gas plant they were supposed to be replacing.(Because constantly running at the same production is better than switching on and off constantly). Nuclear provides power at any point, and always without excuses.
It's also extremely resilient to blackouts. When power demand exceeds production ampere levels drop automatically. This is very damaging for generators, so these shut down immediatly. Now the tolerance of this is based on the production of the generator. Hence, nuclear power will results in significantly less blackouts than green power.
Nuclear is greenGreener than wind and solar actually.
Link. Those are numbers for Gen II reactors. Gen IV can be up to 33% more efficient at what they do.
Also, green power requires rare earth's of which about 50%* is mined in the
Link. Not only is China lowering the export, the environemental problems in the region mean that average life expetancy hovers around 40 years. This pollution is inherent in the refinery of rare earth's, and can't be avoided, only mitigated.
*The rest is mined in smaller mines in China.
I suggest looking around the nuclear organisation websites for information. They're not always neutral, nor is this post, but contain plenty of graphs and information.
Do some research into thorium-based reactors, which I've heard are infinitely less capable of meltdowns, but still quite capable of producing heat.
Thorium isn't the only 4th gen reactor that can do this. Some reactors using pellet fuel are designed to autoregulate themselves. When temperature gets to high, the material surrounding the nuclear fuel expands, blocking the reaction till the heat dies down. (They demonstrated this by shutting down the cooling of the test reactor in front of an audience of experts)
Do some research into thorium-based reactors, which I've heard are infinitely less capable of meltdowns, but still quite capable of producing heat.
They have their own problems, such as being more expensive to process the fuel and requiring significant redesign from existing plants. Most likely spot for them to really achieve a critical mass (pun intended) would be India, which has the world's largest thorium reserves and a critical demand for energy. Australia also has significant reserves, but I think folks there are far more leery of nuclear power.
Actually, one of the largest thorium mines is currently planned in Australia, and is already under construction, IIRC. And the increased refinement cost is nihilable, and is mostly the result of missing infrastructure. (Also, you don't need to modify existing plants, those are all way to old).
The real reason we didn't went for Thorium back when nuclear power was first developped is that the waste product isn't weaponizable.