Journal article
Static bifurcations in electric power networks: Loss of steady-state stability and voltage collapse
IEEE transactions on circuits and systems, v 33(10), pp 981-991
Oct 1986
Featured in Collection : UN Sustainable Development Goals @ Drexel
Abstract
This paper presents an analysis of static stability in electric power systems. The study is based on a model consisting of the classical swing equation characterization for generators and constant admittance, PV bus and/or PQ bus load representations which, in general, leads to a semi-explicit (or constrained) system of differential equations. A precise definition of static stability is given and basic concepts of static bifurcation theory are used to show that this definition does include conventional notions of steady-state stability and voltage collapse, but it provides a basis for rigorous analysis. Static bifurcations of the load flow equations are analyzed using the Liapunov-Schmidt reduction and Taylor series expansion of the resulting reduced bifurcation equation. These procedures have been implemented using symbolic computation (in MASYMA). It is shown that static bifurcations of the load flow equations are associated with either divergence-type instability or loss of causality. Causality issues are found to be an important factor in understanding voltage collapse and play a central role in organizing global power system dynamics when loads other than constant admittance are present.
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Details
- Title
- Static bifurcations in electric power networks: Loss of steady-state stability and voltage collapse
- Creators
- H Kwatny - Drexel UniversityA Pasrija - AT&TL Bahar - Drexel University
- Publication Details
- IEEE transactions on circuits and systems, v 33(10), pp 981-991
- Publisher
- IEEE
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- [Retired Faculty]; Mechanical Engineering and Mechanics
- Web of Science ID
- WOS:A1986E075900007
- Scopus ID
- 2-s2.0-0022791796
- Other Identifier
- 991019173735004721
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- Collaboration types
- Industry collaboration
- Domestic collaboration
- Web of Science research areas
- Engineering, Electrical & Electronic