Here, each generator in a power system to be studied can be represented as the aforementioned form in accordance with the dynamic model of itself. For a power system consisting of n generators (including wind farm) with m state variables, by eliminating Airy, we can get the Jacobian matrices of the whole system A, B, C and D (Wang et al., 2008)as given in following
L G Jmx2 N
ygg dg ygl ylg yll .
C, n J2nxm
Where, YGG and YLL are the self-admittance matrices of generator nodes and non-generator nodes; YLG and YGL are the mutual admittance matrices between them.
Finally, the corresponding state matrix can be given in following:
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