On the nature of unstable equilibrium points in power systems

The application of direct methods for transient stability analysis of stressed power systems is considered. One of the most important issues in this area is to find the controlling unstable equilibrium point for the disturbance under consideration. A conceptual framework for discussing stable and un...

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Bibliographic Details
Published inIEEE transactions on power systems Vol. 8; no. 2; pp. 738 - 745
Main Authors Berggren, B., Andersson, G.
Format Journal Article
LanguageEnglish
Published United States IEEE 01.05.1993
Subjects
240100 - Power Systems- (1990-)
990200 - Mathematics & Computers
Control systems
ENERGY SYSTEMS
GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
LOAD ANALYSIS
MATHEMATICS
Power generation
Power system analysis computing
Power system dynamics
Power system modeling
Power system reliability
Power system stability
Power system transients
POWER SYSTEMS
POWER TRANSMISSION
POWER TRANSMISSION AND DISTRIBUTION
STABILITY
Stability analysis
STRESSES
TOPOLOGY
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ISSN0885-8950
1558-0679
DOI10.1109/59.260806

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Summary:The application of direct methods for transient stability analysis of stressed power systems is considered. One of the most important issues in this area is to find the controlling unstable equilibrium point for the disturbance under consideration. A conceptual framework for discussing stable and unstable equilibrium points in power systems based on simple topological arguments is provided. It is shown that every conceivable case of system separation can be related to a specific unstable equilibrium point (UEP) in an unloaded system. This result can be seen as a verification of the soundness of the often-used corrected corner point approximation and ray point approximation, since these two approximations would give the same unstable equilibrium points in an unloaded system. Moreover, an example is given to show that some of the unstable equilibrium points can disappear when the loading of the system increases. The implications of the findings are discussed for the so-called MOD method of finding the controlling UEP, which is used in some software packages. A method based on a combination of the MOD method and the BCU method is outlined and proposed as the subject of future investigation.< >
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ISSN:0885-8950
1558-0679
DOI:10.1109/59.260806