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

DOI10.1016/0167-6911(83)90041-5zbMath0506.90024OpenAlexW2081369231MaRDI QIDQ1837100

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)90041-5

zbMATH Keywords

splitting lemmabifurcation theorysingularity theoryalgebraic geometrybifurcation surfacenondegenerate solutionelectric power managementunique stable solution3-node electrical power systemlossless electric power networkstable load flow

Mathematics Subject Classification ID

Deterministic network models in operations research (90B10) Operations research and management science (90B99)

Related Items (2)

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

Uses Software

• MACSYMA

Cites Work

• The load flow equations for a 3-node electrical power system
• The singularity theory of the load flow equations for a 3-node electrical power system
• Normal forms for functions near degenerate critical points, the Weyl groups of A\(_k\), D\(_k\), E\(_k\) and lagrangian singularities
• Geometric critical point analysis of lossless power system models
• Morse Theory. (AM-51)
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