This thesis investigates an ultra-short-time model for the dynamic of synchronous machines in complex networks on the basis of the Kuramoto-oscillator model. Not formerly described fixed-points of the system, which occur together with a cyclic power flow in some special networks, will be analyzed. An optimization algorithm is applied on the problem of how to position the generators in a network to get a high fault resistance and high ability of synchronization. Based on the optimization, generalized conclusions about the topological properties of generator nodes are drawn. Furthermore the effects of a lowered inertia of the generators, which is expected in the real world networks due to the extended use of photovoltaic and wind energy, are researched in the framework of the model and possible positive effects are shown. Also the consequences of the simplified network, that only considers the high- and ultrahigh voltage levels, are investigated. It will be shown that the addition of another layer significantly alters the behavior of the system regarding its fault resistance and ability to synchronize. The last chapter concentrates on the used method and discusses some details of the numerical implementation.