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It is the correct way to do the black start simulation.
Every generator to be connected to the system during the simulation must be on-line as stand-alone islands in load flow, i.e., each generator bus is a swing. Note, one island for each generator to be synchronised.
Synchronising is done during simulation by switching on the step-up transformer. Each generator will have 0 pu speed deviation (50/60 Hz) up till the point of synchronisation. Be sure to synchronise when the frequency and the bus rotor angles of the two transformer buses (generator bus and high tension side) are fairly close.
