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Two Base Frequencies in one Dynamic Simulation Case

I am performing the simulation for an HVDC connected system which has one area with system frequency of 60 Hz and other one has 50 Hz both are connected with a back to back HVDC. I want to perform the Dynamic Simulation and if I keep the case Base Frequency at 50 Hz and I run the Flat Simulation (with no disturbance) Rotor Angles of 50 Hz machines continuously increase and that of 60 Hz system decrease. This may be due to the fact the 50 Hz machines try to catch the 60 Hz machines and speed up and vice versa. Please guide me how can I handle this problem?