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The key part of the phrase is actually "electric power station, a part of an electric grid or an industrial plant." Note how the definition doesn't include an entire grid.

Only the first power plant in a black-start (like a hydroelectric dam or gas plant started by a backup generator) is truly "black started." The rest don't fit that definition because they depend on an external power source to spin up and synchronize frequency before burning fuel and supplying any energy to the grid. If they didn't, the second they'd turn on they'd experience catastrophic unscheduled disassembly of the (very big) turbines.

Only the first power plant can come online without the external transmission network.

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That’s not necessarily 100 true, as you could have multiple plants black start and then synchronize later.

In fact, if you’re not sure which will start first, you might go that way. They’re all disconnected from the grid at that time anyway.

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You’re absolutely right, there are a lot of variations. In this case I think Portugal started from their own hydroelectric dam and restarted everything North to South while Spain started several in parallel from the interconnects to the rest of Europe (can’t tell which interconnect it was though).
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