Expression for power shared by Two alternators

Consider two alternators running in Parallel. The frequency -Load characteristic of the two machines is shown in fig.

Let
     W1  = Full load power rating of machine 1
     W2  = Full load power rating of machine 2
     P1   = Power shared by machine 1
     P2   = Power shared by machine 2
     P     = Total power supplied by two machines
     f01   = No load frequency of machine 1
     f02   = No load frequency of machine 2
     fl1   = full load frequency of machine 1
     fl2   = full load frequency of machine 2
         f = common operating frequency when the two machines are running in Parallel