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No, you are wrong here. PSSE is using per unit speed so both system have 1 pu speed at start of simulation.

The reason for the change of rotor angles may be a very small surplus of power in the 50 Hz system or a small lack of power in the 60 Hz system. How fast are the rotor angles changing? A small change of rotor angles is acceptable at flat run simulation since there are two asynchronous power systems.

Are you plotting absolute or relative rotor angles?