Energy consumption goes up and down throughout the day, but the "base load" is the minimum amount, even at the lowest point in the day. So nuclear power is good for providing this "base" because it's consistent and always running.
The issue is that renewables sometimes output so much electricity that, especially when it's sunny, the grid makes *way* too much electricity. The electricity consumption of the grid minus renewables is called the "residual load", and it very very often goes NEGATIVE.