In the UK the power source of last resort, i.e. "black start" if the entire network is down, is pumped hydro.
These examples are not black start resources,....
"The Cruachan Power Station (also known as the Cruachan Dam) is a pumped-storage hydroelectric power station in Argyll and Bute, Scotland. It is one of only four pumped storage power stations in the UK, and is capable of providing a black start capability to the National Grid."
"Another important feature of Dinorwig [pumped hydro site] is that it has been designed to assist restarting the National Grid on the occasion of a complete power failure (a black start). It includes diesel generators and large batteries which would allow the plant to restart even in the event of a complete shutdown of the grid (Dinorwig is not unique in this respect as some fossil-fuel plants are also able to self-start)."
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Black-start isnt relevant to this fast transient capable grid improvement though. Black-start is for re-starting the grid after grid-wide outages. I.e. everything has gone black. You start the diesel backup generator at the hydro station, open up the sluices, provide excitation for the generators, provide power to a coal/NG/nuclear power station which provides base load, start getting other power stations online and re-synchronized while re-connecting load. Hydro power (pumped or standard) is generally a good starting point for a black-start capable power station, no multi megawatt cooling pumps and air blowers, etc. And since you're just changing a valve to adjust flow to a turbine, and don't have an equilibrium to manage, or massive amounts of water to heat or cool (nuclear/coal/nat-gas steam plants) they can be pretty responsive too, but black-start doesn't imply fast transient response, and fast transient response doesn't imply black-start
On the grid transient handling issue. Obviously for a grid-scale thing you need big things where scaling them up provides economy and doesn't cause safety issues (like storing all the energy in a massive flywheel) I wonder if flow-battery technology has improved enough to be useful for something grid-scale, without using chemicals conceived by satan himself. Or for hydro-electric power, if it would be possible to use smaller, faster-responding turbines and a different intake design to improve transient response. I.e. a dam with 30 2 MW turbines intead of 4 15MW turbines, even if they were grouped together to keep from increasing the amount of support equipment excessively.