This paper presents a new method of forming state-space equations of large
power systems which allows to calculate their eigenvalues. The method does
nor require any topological tools. It is based on the extended modified nod
al approach, which was presented at the IPST '97 in Seattle. The extended m
odified nodal approach generates a set of algebraic and state-space equatio
ns using Kirchhoff's nodal law exclusively. Eliminating the algebraic part
of these equations results in the desired state-space equations in an expli
cit form.