Course Outline (F2023)

ELE746: Power Systems Analysis

Instructor(s)Dr. Mohammadreza Arani [Coordinator]
Office: ENG323
Phone: (416) 979-5000 x 556109
Office Hours: Mondays 13:00 - 14:00, and Wednesdays 11:00 - 12:00
Calendar DescriptionOverview of the power system; Generator and transformer models and operation; Per-unit system of calculations; Transmission line parameters; Steady-state operation of short, medium-length, and long transmission lines; Load Flow problem and Gauss-Seidel and Newton-Raphson iterative methods of solution; Symmetrical fault analysis; Simulation of power systems using software packages.
PrerequisitesELE 637 and ELE 639




Compulsory Text(s):
  1. Power System Analysis, H. Saadat, 3rd Edition, 2010, PSA Publishing: ISBN 9780984543809
Reference Text(s):
  1. Power System Analysis and Design, 5th edition by J.Duncan Glover, Mulukutla S. Sarma and Thomas J. Overbye, published by Cengage learning, 2012.
Learning Objectives (Indicators)  

At the end of this course, the successful student will be able to:

  1. Use specialized core knowledge of electric circuits, electromagnetism, and electromechanical energy conversion devices to predict and understand behavior of a power system. (1d)
  2. Use judgment in solving problems that have information uncertainties, and check for alternative models and solution techniques (2a)
  3. Evaluate results through manual calculations and use of general-purpose and specialized software, to predict the performance and to determine the prediction closest to the reality. (5a)
  4. Consider economic, social, and environmental factors in decision-making in designs, implementations and operations, and understand the impact of decisions and activities on the environment, and develop environmental-friendly sustainable power systems. (9a)

NOTE:Numbers in parentheses refer to the graduate attributes required by the Canadian Engineering Accreditation Board (CEAB).

Course Organization

3.0 hours of lecture per week for 13 weeks
2.0 hours of lab per week for 12 weeks
0.0 hours of tutorial per week for 12 weeks

Teaching AssistantsNegar Karimipour
 Eren Alli
Course Evaluation
Theory: Mid-term Examination 20 %
Theory: Final Examination 35 %
Theory: Quizzes 10 %
Theory: Reading Project 5 %
Lab: Two-bus single-phase network 15 %
Lab: Multi-bus three-phase network 15 %
TOTAL:100 %

Note: In order for a student to pass a course, a minimum overall course mark of 50% must be obtained. In addition, for courses that have both "Theory and Laboratory" components, the student must pass the Laboratory and Theory portions separately by achieving a minimum of 50% in the combined Laboratory components and 50% in the combined Theory components. Please refer to the "Course Evaluation" section above for details on the Theory and Laboratory components (if applicable).

ExaminationsMidterm exam in approximately Week 7 during regular class hours, two hours.
 Final exam, during exam period, three hours. Details will be announced in D2L
Other Evaluation InformationTwo reports are required for the labs. In order to achieve a passing grade, the student must achieve an average of at least 50% in both theoretical and laboratory components.
 The reading project will also be assessed based on the delivered report. The reading project is a part of the theory component of the course.
Other InformationQuizzes will be held during lecture sessions. The exact time of quizzes will be announced on D2L.

Course Content



Chapters /

Topic, description



Introduction fundamentals and conventions
 (Chapter 2)
 - Structure and components of the power system
 - Power in single-phase circuits
 - Real power reactive power and complex power
 - Power factor correction
 - Complex power flow and complex power balance
 - Balanced three-phase circuits
 - Per-phase analysis and graphical conventions
 - Delta-Y transformations
 - Power in three-phase circuits



Models for short transmission lines generators and transformers
 (Chapters 3 and 4)
 - Short transmission line model
 - Synchronous generator construction and model
 - Single-phase transformer model (equivalent circuit)
 - Transformer performance
 - Three-phase transformers
 - Per-unit system of calculations and change of base



Transmission line models and performance
 (Chapter 5)
 - Short-line model (review)
 - Medium-line model
 - Long-line model
 - ABCD parameters
 - Transmission line performance



Analysis of balanced faults
 (Chapter 9)
 - Balanced three-phase fault
 - Short-circuit capacity
 - Bus impedance matrix
 - Fault analysis using bus impedance matrix



Power-flow analysis
 (Chapter 6)
 - Bus admittance matrix and network calculations
 - Power-flow problem and equations
 - Gauss-Seidel method for solving power-flow equations
 - Newton-Raphson method for solving power-flow equations



Symmetrical components and unbalanced faults
 (Chapter 10)
 - Fundamental of symmetrical components
 - Sequence impedances
 - Fault analysis using sequence components



Transmission line parameters
 (Chapter 4)
 - Transmission line resistance
 - Transmission line inductance
 - Transmission line capacitance

Laboratory(L)/Tutorials(T)/Activity(A) Schedule





Tutorial 1 (Chapter 2)

Tutorials and Introduction


Tutorial 2 (Chapter 2)

Lab and Tutorials


Tutorial 3 (Chapter 3)

Quiz 1 (fundamentals)


Tutorial 4 (Chapter 3)

Quiz 2 (Chapter 2)


Tutorial 5 (Chapter 3)

Quiz 3 (Chapter 3)


Lab 1

Lab 1: Project 1


Lab 2

Lab 2: Project 2
 (Lab 1 Report Due on Week 10)


Tutorial 6: Review

(Lab 2 Report Due on Week 12)

University Policies

Students are reminded that they are required to adhere to all relevant university policies found in their online course shell in D2L and/or on the Senate website

Important Resources Available at Toronto Metropolitan University


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