Course Overview

This course is an introductory power system course that covers basics of power system apparatus including synchronous generators, transformers, transmission lines, AC motors, and distribution systems. The course starts with an overview of single-phase and three-phase AC circuits, next, per unit quantities and single-line diagram of electrical systems are covered.

The course also covers the principles of operation of AC machines including synchronous generators/motors, and induction motors. Synchronous generators are the most important generation units in a power system. This training course covers the basic operation principles of synchronous machines, their simplified models, and their power flow diagrams. Through power system analysis training, you will also learn the operation of single-phase and three-phase transformers, ideal transformers, autotransformers, tap changers, and equivalent circuits of various transformers in power system. Finally, power system analysis training will briefly introduce the power flow concept, DC and AC power flow, and introduces you to the distribution systems.

Key Learning Areas

Basic Power System Analysis is a 2-day course aimed to train:

  • Any individual from industry, government, or academia who needs to understand, use, or implement the power system analysis.
  • Those individuals who are involved with selling power and thus need to fully comprehend various components of power system.
  • Government and state personnel who are involved in developing, adjusting, or passing legislations and policies related to electricity and power.
  • Government entities related to energy including the personnel of Deputy Assistant Secretary of the Navy-Energy; Air Force Installations, Environment & Logistics; Department of the Navy Energy Program for Security and Independence; Department of the Navy Strategy for Renewable Energy; Marine Corps Expeditionary Energy Office; Office of the Deputy Under Secretary of Defense, Installations and Environment; U.S. Army Office of Energy Initiatives (OEI); and U.S. Energy Information Administration.
  • Grant writers working on power and energy related projects who need a brief and quick training on power systems.
  • Utility operators, mostly entry- and mid-level.
  • Non-technical personnel of utility companies who need to know the basis of power system, such as in marketing, finance, and executive sectors.
  • Individuals with interests in financial investment in various sectors of power industry.
  • People from renewable energy (such as solar and wind) entities who are interested in selling power to the house owners or utility companies.
  • All non-electrical engineers who are working on any project that requires the knowledge of power system.

Course Outline

Basic Principles

  • Complex numbers
  • Space phasors
  • Real-imaginary plane and complex numbers
  • Polar form of complex numbers
  • Balanced three-phase systems
  • Active and reactive powers
  • Complex and apparent powers
  • Definition of power factor
  • Power factor correction
  • Unbalanced three-phase systems
  • Per unit (p.u.) analysis
  • Change of base in per unit systems
  • Per unit in three-phase and single-phase circuits

Power System Apparatus Review

  • Generators
  • Transformers
  • Transmission lines
  • Substations (switchgears)
  • Circuit breakers
  • Reclosers
  • Relays
  • Power line communication
  • Loads (electronic, dynamic)
  • AC machines Distribution systems
  • Supervisory control and data acquisition (SCADA)


  • Principles of operation (Magnetism theory)
  • Ideal transformers
  • Detailed models of transformers
  • Auto-transformers
  • Three-phase transformers
  • Tap changer
  • Per unit in transformers

Transmission Lines

  • Introduction to transmission systems
  • Overhead and underground transmission systems
  • Parameters of transmission lines
  • Symmetrical spacing in lines
  • Asymmetrical spacing in lines
  • Transpose lines
  • Bundle effect
  • Short, medium, and long lines

Synchronous Generators/Motors

  • Principles of operation
  • Simplified diagrams of synchronous generators
  • Simplified diagrams of synchronous motors
  • Power flow diagrams
  • Efficiency of synchronous machines
  • Phasor diagrams of synchronous machines

Induction Machines

  • Principle of operation
  • Concept of slip
  • Equivalent model of induction motors
  • Speed-torque curves
  • Power flow diagrams

Power Flow Analysis

  • AC power flow
  • Solutions for power flow
  • Gauss iterations (Gauss-Seidel)
  • Newton-Raphson
  • Fast decoupled solution
  • DC power flow

Who Benefits

Upon completion of the Basic Power System Analysis course, the participants will be able to:

  • Fully understand the concept of space phasors, complex numbers, and vectors
  • Learn power system apparatus with their operation principle
  • Understand the concept of per unit in power systems
  • Understand the transformer operation and modeling
  • Analyze the generators in various operating modes (leading and lagging power factors)
  • Understand the transmission line systems and various approaches of modeling transmission lines
  • Understand the power flow concept and solution of power flow using Gauss and Newton methods
  • Learn the basics of autotransformers and tap changer features
  • Understand the operation of three-phase transformers in various connections