Development of z-transform electromagnetic transient analysis methods for multinode power networks

The paper continues and extends the recent development of z-transform electromagnetic transient analysis in power systems as reported in a companion paper. Whereas the original development was based on the configuration of a single transmission line and a simplified equivalent-source model, the present paper extends this to the more general case of multinode-power-transmission networks. In those terms, the formulation developed in the present paper provides for distributed-parameter transmission-line models with series-path nonlinear frequency dependence, together with lumped-parameter circuit elements of linear and nonlinear forms, in any arbitrary combination and interconnection. This general electromagnetic transient analysis formulation is complemented by means of representing any circuit-breaker switching sequence and any short-circuit fault constraint. An assessment of the inherent accuracy and stability of the multinode z-transform solution scheme derived is made from comparisons with solutions from formal frequency-domain analysis.