Stability analysis of radial power systems: a passivity approach

A passivity approach is presented that acts as a framework for the analysis of the stability of power systems and allows the derivation of controllers. A radial power system is decomposed according to the component oriented modelling technique (COMT). The whole system is thus modelled as a feedback subsystem decomposition suitable for the application of the passivity approach. Under the assumption of a passive or a passified load, L/sub 2/-stability properties are obtained when disturbances occur in the network. Once disturbances are cleared an asymptotic stability property is derived. In the case of non-passivity of certain loads or series elements located in the network and when an energy-like constraint is satisfied, ultimate boundedness properties are obtained with a quasi-passivity concept.