ECE 662 - Power System Analysis and Control


Claudio A. Cañizares
Office: EIT-4168 (Wednesdays 4:00-5:00 PM)
Phone: (519) 888-4567 extention 35355

Teaching assistant(TA)

Behnam Tamimi
Office: EIT-4151
Phone: (519) 888-4567 extension 38036
Office hours: To be announced.


Room EIT 3151; Thursdays 2:30-5:20 PM, with an approximately 20 minute break at approximately 3:50 PM. Makeup online lectures due to research and conference trips on these days:

  • Thursday September 15 2:30-5:20 PM → Monday September 19 2:00-5:00 PM on LEARN.
  • Thursday September 22 2:30-5:20 PM → Wednesday September 28 2:00-5:00 PM on LEARN.
  • Thurs.dayOctober 20 2:30-5:20 PM → Wednesday October 19 2:00-5:00 PM on LEARN.


  • Understand the basic definitions and concepts associated with short circuit, power flow and stability analysis.
  • Discuss in detail techniques and tools for power system analysis, with a practical perspective.

Course Content

Detailed description
Number of weeks Topics Sub-topics
1 Review Basic power system elements and models: generators; transmission systems; loads.
1 Power Flow Analysis
  • System model.
  • Equations.
  • Solution techniques: Newton-Raphson; fast decoupled.
1 Short Circuit Analysis
  • System model.
  • Faults: 3-phase; single-phase-to-ground; two-phase; two-phase-to-ground.
  • Matrix analysis.
1 Basic stability concepts
  • Nonlinear systems: Ordinary Differential Equations (ODE), Differential Algebraic Equations (DAE).
  • Equilibrium points: Definition; linearization; eigen analysis.
  • Stability regions.
3 Voltage Stability and Control
  • Definitions.
  • Voltage collapse:
    • Basic concepts.
    • Tools: Continuation power flows; direct methods; indices.
    • Control and protection: Compensation; secondary voltage regulation; under-voltage relays.
    • Practical applications: Transmission congestion; a real blackout analysis.
  • Voltage regulation:
    • Basic concepts.
    • Practical applications: A real blackout analysis.
2 Small-perturbation Stability and Control
  • Definitions and basic concepts.
  • Tools: Eigenvalue analysis.
  • Control and protection: PSSS; FACTS.
  • Practical applications: A real blackout analysis.
2 Transient Stability and Control
  • Definitions and basic concepts.
  • Tools: time domain simulations; direct methods (energy functions and equal area criterion).
  • Practical applications: A real blackout analysis.
1 Frequency Stability and Control
  • Definitions and basic concepts.
  • Control and protection: primary and secondary frequency regulation; automatic generation control (AGC); under-frequency relays.
  • Practical applications: A real blackout analysis.

Recommended Text

A. Gómez-Expósito, A. J. Conejo and C. A. Cañizares, Editors, Electric Energy Systems: Analysis and Operation, CRC Press, July 2008, ISBN 0849373654.

Other References

  1. A. R. Bergen and V. Vittal, Power systems analysis, Second Edition, Prentice-Hall, 2000.
  2. J. Arrillaga and C. P. Arnold, Computer analysis of power systems, John Wiley, 1990.
  3. P. Kundur, Power System Stability and Control, McGraw-Hill, 1994, ISBN 0-07-035958-X.
  4. P. M. Anderson and A. A. Fouad, Power system control and stability, IEEE Press, 1994.
  5. C. A. Cañizares, Editor, “Voltage stability assessment: concepts, practices and tools,” IEEE-PES Power System Stability Subcommittee Special Publication, SP101PSS, May 2003.
  6. Journal papers and technical reports (available on-line).
  7. Course notes available at course website.


Basic knowledge of power systems and modeling is required. Some familiarity with MATLAB is desirable but not required.


Two projects are 25% of the final mark.
The midterm exam is 25% of the final mark.
The final exam is 50% of the final mark.

The midterm exam is a take home, individual test based on problems presented and discussed during lectures regarding the various topics discussed in class. Some problems might require the use of MATLAB and PSAT.

The dates and times of the midterm and final exams are still to be determined.


  1. Short circuit analysis of the IEEE 14-bus test system using MATLAB.
  2. Stability analysis of the IEEE 14-bus test system using PSAT.

Important Notes

  • Academic integrity: In order to maintain a culture of academic integrity, members of the University of Waterloo community are expected to promote honesty, trust, fairness, respect and responsibility.
  • Grievance: A student who believes that a decision affecting some aspect of his/her university life has been unfair or unreasonable may have grounds for initiating a grievance. Read Policy 70, Student Petitions and Grievances, Section 4. When in doubt please be certain to contact the department’s administrative assistant who will provide further assistance.
  • Discipline: A student is expected to know what constitutes academic integrity to avoid committing an academic offence, and to take responsibility for his/her actions. A student who is unsure whether an action constitutes an offence, or who needs help in learning how to avoid offences (e.g., plagiarism, cheating) or about “rules” for group work/collaboration should seek guidance from the course instructor, academic advisor, or the undergraduate Associate Dean. For information on categories of offences and types of penalties, students should refer to Policy 71, Student Discipline. For typical penalties check Guidelines for the Assessment of Penalties.
  • Appeals: A decision made or penalty imposed under Policy 70 (Student Petitions and Grievances) (other than a petition) or Policy 71 (Student Discipline) may be appealed if there is a ground. A student who believes he/she has a ground for an appeal should refer to Policy 72 (Student Appeals).
  • Note for students with disabilities: The AccessAbility Services, located in Needles Hall, Room 1132, collaborates with all academic departments to arrange appropriate accommodations for students with disabilities without compromising the academic integrity of the curriculum. If you require academic accommodations to lessen the impact of your disability, please register with the AccessAbility Services at the beginning of each academic term.