Decomposing Analysis and Synthesis Problems in Electrical Networks

Abstract: Passivity theory is a powerful tool for analysing and designing large networks, such as electrical power systems, since it allows for a component oriented approach. This is a major advantage because typically the analysis and synthesis problems associated with the components are tractable, while their network counterparts are not. In this talk we investigate other structural features present in electrical networks, such as fundamental circuits and cutsets, that can also be exploited in decomposing analysis and synthesis problems. This allows for analysis and design on the basis of less restrictive dynamical properties than passivity, whilst still retaining many of the benefits of the component oriented approach.