Title :
Basic property study of power system topological spaces and the mappings on them
Author :
Zhang, Yi ; Momoh, James A.
Author_Institution :
Dept. of Electr. Eng., Howard Univ., Washington, DC, USA
Abstract :
The basic properties of the power system topological spaces (PSTSs) are investigated. Power system equations, the topological structure of PSTS, the PSTSs and the mappings on them, and application examples are presented. Based on several assumptions, PSTS is proven to be a manifold and the PSTSs for different study domains are related as a space and its contractible kernel. The solutions introduced by the vector field on different PSTSs are homotopic
Keywords :
power system planning; topology; contractible kernel; interconnected power systems; mappings; power system topological spaces; vector field; Kernel; Manifolds; Nonlinear equations; Power system analysis computing; Power system dynamics; Power system interconnection; Power system modeling; Power system stability; Power system transients; Power systems;
Conference_Titel :
Circuits and Systems, 1990., IEEE International Symposium on
Conference_Location :
New Orleans, LA
DOI :
10.1109/ISCAS.1990.111949
