Dynamic Analysis of Power Systems

At McMaster University, this course is listed in the graduate calendar as Electrical Engineering 721. The content was originally developed while the author spent a sabbatical leave at the University of Sydney, in New South Wales, Australia. It was given at that time to a class of about 20 students from both the University of Sydney and the University of New South Wales.

The course documentation has evolved from hand written notes to the typed version currently in PDF files available over the web, and has been presented annually to graduate (post-graduate) students for academic credit at McMaster University.

Course Objective: To represent, analyse and predict the dynamic performance of electro-mechanical machines and interconnected power systems.

Course Outline: Representation of turbine-generators, induction motors and composite loads, transmission systems, and control equipment for small-signal stability analysis. Matrix assembly and model reduction for large systems. Eigenvalue analysis.

Reference 1: Y-N Yu: "Electric Power System Dynamics," Academic Press, 1983.

Reference 2: Anderson and Fouad: "Power System Control and Stability," IEEE Press, 1994.

Prerequisite: A competent undergraduate knowledge of electrical machines, power systems, control systems and computer programming is assumed.

Course Self Evaluation: Based on assignments at the end of each chapter

Course Sequence corresponds to chapter sequence in printed notes

  1. Introduction
  2. Synchronous machine equations
  3. Synchronous machine equivalent circuits
  4. Basic power system modeling
  5. Dynamic system analysis
  6. Multi-machine matrices
  7. Excitation and stabilizer systems
  8. Governor, turbine and shaft systems
  9. Model reduction
  10. Torque component analysis
  11. Induction motor modeling
  12. Multimachine systems


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