A new algebro-differential equation system for the computation of dynamics
and transients in electric power systems is formulated with the extended no
de voltage method exclusively on the basis of Kirchhoff's current law. Usin
g the Singular Perturbation method, the systematic derivation of reduced-or
der power system models, which are adapted to the respective setting of tag
les, is shown. The complete power system can be decomposed into a non-linea
r slow and a mid and a fast subsystem, which are homogeneous and usually li
near and can thus also be solved analytically. Simulation examples show a g
ood agreement with the results of the complete state equation system as wel
l as large computing time gains.