|Table of Contents|

Necessary and Sufficient Conditions for Complete Stability of General Gradient System

《南京理工大学学报》（自然科学版）[ISSN:1005-9830/CN:32-1397/N]

Issue:
2007年04期
Page:
435-439
Research Field:
Publishing date:
2007-08-30

Info

Title:
Necessary and Sufficient Conditions for Complete Stability of General Gradient System
Author(s):
JIANG Ning-qiang1; SONG Wen-zhong2
1.School of Automation,NUST,Nanjing 210094,China;2.School of Automation,Southeast University,Nanjing 210096,China
Keywords:
pow er system;  transien t stab ility;  genera l g radient system;  po tent ia l energy boundary surface;  complete stability
PACS:
TM712
DOI:
-
Abstract:
Th is paper investigates topo log ical propert ies o f the genera l grad ient system, and demonstrates by results of d ifferent ia l topo logy that the boundedness o f the general gradient system is equ ivalent to the boundedness o f the potential energy boundary surface ( PEBS) . Moreover, a general grad ient system is bounded i,f and only if the system has both sink po int and source po in.t B ased on these resu lts, a feasible method is proposed to check the comp lete stability of the genera l g rad ien t system. The results are con firmed by simu lations on a 3-machine system, the N ew Eng land system and the IEEE50m ach ine test system.

References:

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Last Update: 2007-08-30