Martin Lorton mentioned something recently about large solar farm destabilising the grid as well due to sudden fluctuations of output which cannot be picked up fast enough by other generation means.
The only way we are going to get the amount and reliability of supply is going to be from thorium reactors.
The article tggzzz referenced raises the point strongly that early solar installations were poorly designed for grid stability, and that upgrades will take some time. Most people currently talking about stability refer to current problems. I haven't seen a good analysis of what is inherently hard to fix, especially if the higher levels of the grid were adapted to the changing generation patterns.
The paper from California, which mojochan referenced, talks about the need to avoid distributed generation pushing energy into the higher levels of the grid. For stability, they assume energy generated in a distributed way, and pumped into a sub-station's catchment area, will be used within that catchment area. The snag is, current equipment does not enforce this. In fact, it appears a lot of current equipment might pump up the local voltage to a dangerous level, as they don't limit this properly. I've seen reference to that in several places, including the California paper. The grid was never designed to have energy pushed upstream through the major transformers. It isn't designed to stabilise itself under those circumstances. Whether is could be adapted to do so is another matter.
One of the nice things about solar PV is it only outputs what you draw. As a system it can go from full output to zero to full as fast as the control loop of the inverter can react. With effective regulation of the design of inverters approved for grid connection, it seems a lot of stabilisation could be provided by this. The reason it requires regulation is that doing the right thing is not in the interests of the owners of the inverters. They want to push out every scrap of energy they can muster, and get it metered, regardless of what the grid needs at any instant. Only rules strictly enforced could help there. In this sense solar PV has the potential to provide the opposite effect from the one Martin Lorton described.
In Europe it seems solar PV inverters will trip if the grid frequency appears to vary by more than 1%. In a continent with a super stable grid that probably seemed like a very sensible protection a few years ago. Now, as there is more reliance on solar output, it means a short term hiccup in the grid could turn into a full scale outage, as things trip on a huge scale. The Spectrum article raises this as one of the key concerns in Mainland Europe about what might happen in the eclipse. Its being addressed, but upgrades take time.