"there's going to be new nuclear power plants built"
where, at what rate and at what cost?
Where? I'm guessing here that we'd start with new reactors at existing nuclear power plants. Then we'd likely see old fossil fuel plants get converted to nuclear, these are places with existing wires, rail lines, water, and so on to minimize cost for new nuclear capacity.
Similarly I expect new nuclear reactors built on land owned by hydroelectric operators, there's typically a lot of land around the dams that's been set aside for matters of facility security, future expansion, and so on that could accommodate a nuclear reactor. Also, like with conversion of fossil fuel plants to nuclear, a hydroelectric dam will have things like wires, water (a lot of water), rail, and so on already in place to make new construction almost trivial.
We can build a lot of new nuclear power capacity at existing sites before we need to worry about finding new places to build. Before we run out of existing power plants to use for land we'd likely start looking to existing government land with lots of space and existing security perimeters, such as military bases, airports, national labs, universities, and maybe little bits carved off of nature reserves and national parks. I expect people will protest such ideas but the alternatives would be solar panels and windmills that take up far more land for the same output as a much smaller nuclear reactor. It's not like windmills and solar panels are free from issues. Windmills kill large and rare birds, as well as create issues with radar used for tracking aircraft and weather. Solar panels also kill birds, and create problems for aircraft with the reflections that come off them. Maybe we could see nuclear power plants built on barges and floated to ports near population centers, Russia is experimenting with this idea. Floating power plants can solve a lot of issues surrounding construction and siting.
At what rate? In the USA? Well, slowly at first then likely exceeding the peak rate reached in the 1970s two or four times over. In the 1970s the USA was putting 1 GW on the grid of new nuclear power every month, so I'd expect we could reach 1 GW per week in the USA within a decade or two. Given that we are currently seeing about 60 GW of new electrical generating capacity per year added to the grid it shouldn't be too big of a reach to see a decent sized chunk of that be nuclear if the USA were committed to lowering CO2 emissions while improving reliability of electrical generation. The global build rate is anyone's guess, there's a lot of variables to consider.
when the headlines read like the following, it's not easy to get new ones built
"The last two Westinghouse U.S. reactors built at the Vogtle site in Georgia in 2023 and 2024 were about seven years behind schedule and cost around $35 billion, more than double an original estimate of $14 billion"
and
"Hinkley Point C's projected costs have escalated significantly, with estimates in early 2026 reaching up to £48 billion ($64.7 billion), vastly exceeding the initial 2016 estimate of £18 billion. The two-reactor, 3.2-gigawatt project is now facing delays, with the best-case startup pushed to 2030, driven by complex ground conditions, design changes, and inflation"
I see at least two issues with bringing those up as examples to oppose new nuclear power. The first issue is that they are first-of-a-kind and in any "first" there will be a lot of lessons to be learned. As we gain experience on construction costs should come down. As the technology develops with lessons learned costs should come down. As regulators learn more about what keeps nuclear power safe we should be able to reduce regulatory costs. A related issue to this is that you picked two outliers among dozens of nuclear power plants. Why not look at average costs? Or look for a couple successes to go with the failures to give a range on what to expect?
Second, the reason we are seeing a renewed interest in nuclear power is because costs for all other energy sources are going up. We are currently seeing a number of trade wars driving up energy costs globally, as well as some shooting wars that are driving up demand while driving down production. It's not too much of a leap to believe that we can see current trends in rising energy get extrapolated out to where $50 billion for a new 3-ish GW nuclear power plant look like a bargain.
If you want to argue against nuclear power because of the costs then it might be a wise to do it somewhere other than the comment section on a news article on how nuclear power costs are coming down. We are seeing more people consider nuclear power because cost on nuclear power are coming down and the costs of alternatives are going up. At some point those two lines on the graph will cross and then so much opposition to new nuclear power will fall.