EEEN40340 Power System Stability Analysis

Academic Year 2015/2016

The module explains the mathematical background of the phenomena that lead to power system instability, studying numerical methods to tackle such phenomena. The module is divided into four parts.

Part I: long term voltage stability. Bifurcation theory (saddle-node, limit-induced and singularity-induced bifurcations) and the voltage collapse phenomenon. Continuation power flow analysis. Direct methods. Voltage stability constrained OPF. Voltage stability indexes. Cascade line tripping phenomenon.
Part II: large perturbation angle stability (transient stability). Lyapunov theory. Direct methods. Time domain analysis methods. Hybrid methods (e.g. SIME). Transient stability constrained OPF. Multi-swing phenomenon.
Part III: small-signal angle stability analysis. Hopf bifurcations and limit cycles. Monodromy matrix. Routes to chaos, Poincaré maps and Lyapunov exponents. Small-signal stability constrained OPF. Effect of delays and analytical methods to assess the stability of delayed DAEs.
Part IV: frequency stability. Load shedding problem. Frequency stability with renewable energy sources. Effect of thermostatically controlled loads.

Each part is completed by real-world examples (large scale blackouts), practical remedial actions and several computer-based simulation examples to support theoretical aspects.

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Curricular information is subject to change

Learning Outcomes:

Basic principles of stability analysis of nonlinear differential-algebraic equation systems. Definitions, causes and concepts of voltage, transient, angle and frequency stability. Applied numerical methods to assess power system stability of large power systems. Practical control and protection strategies to avoid power system instabilities and blackouts.

Student Effort Hours: 
Student Effort Type Hours
Lectures

24
Laboratories

12
Autonomous Student Learning

70
Online Learning

12
Total

118
 
Requirements, Exclusions and Recommendations
Learning Recommendations:

Students taking this module must have a strong understanding of electrical power systems and control theory, and be fully conversant with the underlying mathematics.



Module Requisites and Incompatibles
Pre-Requisite:
EEEN30070 - Power system Engineering, EEEN30090 - Electrical Machines

Co-Requisite:
EEEN40010 - Control Theory, EEEN40120 - Apps of Power Electronics

 
Description % of Final Grade Timing
Examination: Examination

30

 2 hour End of Trimester Exam
Lab Report: Voltage stability analysis

12

 Week 6
Lab Report: Small-signal stability analysis

12

 Week 8
Lab Report: Frequency stability analysis

12

 Week 12
Lab Report: Numerical stability of power flow analysis

12

 Week 4
Lab Report: Transient stability analysis

12

 Week 10
Presentation: Description and analysis of a blackout

10

 Week 12

Compensation

This module is not passable by compensation

Resit Opportunities

End of Semester Exam

Remediation

If you fail this module you may repeat, resit or substitute where permissible