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There are two generators in a power system. No-load frequencies of the generators are $51.5$ $Hz$ and $51$ $Hz$, respectively, and both are having droop constant of $1$ $Hz$/$MW$. Total load in the system is $2.5$ $MW$. Assuming that the generators are operating under their respective droop characteristics, the frequency of the power system in $Hz$ in the steady state is ___________.

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