LTI Modell arbiträrer wechselrichtergeführter Inselnetze

This paper presents the development of a control model for inverter driven island grids. The herein presented structured approach creates a multi voltage source inverter model from a single inverter state space model and combines this with the node incidence matrix of a network into a compound model of an island grid. The presented approach allows to analyse arbitrary grid structures and different inverter models and it incorporates a large number of inverters. The model can be particularly used for ohmic-inductive low voltage lines. At the end of the article, a stability analysis of a sample network is presented.