The load flow equations for a 3-node electrical power system

DOI10.1016/0167-6911(83)90040-3zbMath0506.90023OpenAlexW2003910501MaRDI QIDQ1837099

Christopher I. Byrnes, John Baillieul

Publication date: 1983

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6911(83)90040-3

zbMATH Keywords

Morse theoryelimination theoryelectrical networkequilibriaalgebraic geometrySturm sequencesdifferential topologyelectric power managementderivation of load flow equationsinternode transmission line characteristicslossless electric power networksynchronous steady statethree-machine networksuniqueness of stable load flows

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Deterministic network models in operations research (90B10) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Operations research and management science (90B99)

Related Items (1)

The singularity theory of the load flow equations for a 3-node electrical power system

Cites Work

• The singularity theory of the load flow equations for a 3-node electrical power system
• Geometric critical point analysis of lossless power system models
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