document: Basin configuration of a six-dimensional model of an electric power system As part of an ongoing project on the stability of massively complex electrical power systems , we discuss the global geometric structure of contacts among the basins of attraction of a six-dimensional dynamical system . This system represents a simple model of an electrical power system involving three machines and an infinite bus . Apart from the possible occurrence of attractors representing pathological states , the contacts between the basins have a practical importance , from the point of view of the operation of a real electrical power system . With the aid of a global map of basins , one could hope to design an intervention strategy to boot the power system back into its normal state . Our method involves taking two-dimensional sections of the six-dimensional state space , and then determining the basins directly by numerical simulation from a dense grid of initial conditions . The relations among all the basins are given for a specific numerical example , that is , choosing particular values for the parameters in our model
doc_bio_tags: B I O O O O O O B I I O O O O O O O O O O B I I I I O O O O B I I O O O O O O O O O O O O O O O O O O O O O O O O O O O O O B I O O O O O O O B O B I O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O B I O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O B I O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O
extractive_keyphrases: basin configuration electric power system massively complex electrical power systems global geometric structure infinite bus attractors pathological states global map state space
abstractive_keyphrases: six-dimensional model power system stability