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Concepts of stability analysis of nonlinear dynamical systems. Concepts of bifurcation theory. Lyapunov stability first and second criteria. Numerical techniques for the stability analysis of nonlinear differential equations. Basic concepts of delay differential equations. Basic concepts of chaos. Real-world examples based on power systems blackouts.
Indicative Module Content:Definitions of nonlinear system stability. Basic bifurcation theory concepts. Stability of maps. Small-signal stability analysis (Lyapunov first stability criterion). Transient Stability analysis and transient energy function (Lyapunov second stability criterion). Voltage stability. Frequency stability. Monodromy matrix and Floquet multipliers. Routes to chaos.
Student Effort Type | Hours |
---|---|
Lectures | 20 |
Tutorial | 5 |
Laboratories | 15 |
Autonomous Student Learning | 60 |
Total | 100 |
Not applicable to this module.
Remediation Type | Remediation Timing |
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In-Module Resit | Prior to relevant Programme Exam Board |
• Feedback individually to students, post-assessment
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