Symmetrical Components of Three-Phase Power Analysis and Fault Studies

Learn how to use the method of symmetrical components to simplify asymmetrical three-phase power analysis and understand fault studies and protection schemes. 7 lessons in 1h 30m total course length.

Course description

This course deals with the method of symmetrical components, which is used to simplify asymmetrical three-phase voltages and current analysis. The method of symmetrical components converts the unbalanced system into two sets of balanced phasors and a set of single-phase phasors or symmetrical components. These sets of phasors are called the positive, negative, and zero sequence components.

An understanding of this method is essential for the understanding of fault analysis and modern-day protection schemes. This course will provide you with the knowledge to comprehend the concept and how it is applied.

Course Summary

  1. Introduction
  2. Symmetrical Components Overview
  3. The Components
  4. The “a” Operator
  5. Working with the “a” Operator
  6. Synthesis Equations
  7. Problems and Solutions
  8. The Final Exam With 19 Questions

Who Is This Course For

Electrical Engineers, Substation Engineers, Substation Designers, Technologists, Maintenance Personnel working in the electrical power protection industry.


The student should have an understanding of the laws and theorems related to three-phase electrical power systems.

Downloadable course materials

After purchasing the course, students can download the following materials:

  1. Symmetrical component study of earth faults in power transformers in parallel (PDF)
  2. Symmetrical components theoretical and real-world examples for relay engineers (PDF)
  3. Modeling and analysis of external balanced and unbalanced faults (symmetrical components) (PDF)

About Instructor

Graham Van Brunt P. Eng., B.Sc.

An entire career in the power sector of engineering, Graham graduated from Queen's university coupled with subsequent studies with Wilfrid Laurier University to travel the globe and apply his skills and garner his protection and control experience internationally. His passion for staying in touch with his profession and his kinship for mentoring has kept him in front of an audience of learners.

16 Courses

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Course Includes

  • 7 Lessons
  • 1 Quiz
  • Course Certificate
  • Lifetime Access