Bifurcation Analysis of a Power System Model with Three Machines and Four Buses

DOI10.1142/S0218127416500826zbMath1343.34108MaRDI QIDQ3187925

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Publication date: 5 September 2016

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

frequency domainbifurcationpower systemharmonic balance

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Analytic circuit theory (94C05) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (2)

Partial stability criterion for a heterogeneous power grid with hub structures ⋮ Bifurcation and chaos in a bearing system

Uses Software

• AUTO
• AUTO-86
• AUTO-07P

Cites Work

• LOCAL BIFURCATION BOUNDARY AND STEADY-STATE SECURITY BOUNDARY IN LARGE ELECTRIC POWER SYSTEMS: NUMERICAL STUDIES
• Computations of limit cycles via higher-order harmonic balance approximation
• The Hopf bifurcation theorem and its applications to nonlinear oscillations in circuits and systems
• DYNAMIC BIFURCATIONS IN A POWER SYSTEM MODEL EXHIBITING VOLTAGE COLLAPSE
• FREQUENCY DOMAIN APPROACH TO COMPUTATION AND ANALYSIS OF BIFURCATIONS AND LIMIT CYCLES: A TUTORIAL
• Computation of Singular and Singularity Induced Bifurcation Points of Differential-Algebraic Power System Model
• Computation of limit cycle via higher order harmonic balance approximation and its application to a 3-bus power system

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