Learn the fundamentals and advanced concepts of power system analysis in this practical course, which features problem-solving sessions and classroom workshops that will teach you how to create power system models and calculate fault currents for the various types of power systems faults and open-phase conditions.

Who should attend?

• Utility engineers and technicians
• Plant engineers and technicians
• Consulting engineers and technicians

Prerequisites:

1. Basic understanding of vector algebra, a familiarity with the voltage, current, watt, var and phase angle measurement terms.
2. Please bring a scientific calculator. 

Day 1

Review of Phasors

• Phasor defined
• Phasor representation of voltage, current, and power
• Combining phasors
• Phasor and circuit diagrams for balanced three-phase systems
• Phasors and phase rotation
• Balanced system calculations
  
  • single-phase equivalent
• Time synchronized phasors

 Review of Three-Phase Power Systems

• Single-phase systems
• Three-phase systems
• Phase angle and time relationships
• Wye and delta connected loads
• Real and reactive power
• Workshop – three-phase power calculations

Per-Unit System

• Definitions
• Advantages of per-unit system
• General circuit quantity relationships: three-phase power, line-to-neutral, and line-to-line voltage and current relationships
• Base quantities
• Per-unit relationships, per-unit impedances of equipment
• Changing per-unit quantities to different bases
• Workshop: Per-unit calculations

Day 2

Transformer Polarity and Phase Shift

• Polarity markings
• Subtractive and additive polarity
• Autotransformer connections
• Three phase transformer connections
• Delta-wye transformer phase shift
• Measurement transformers

Symmetrical Components

• Unbalanced systems of phasors
• Method of symmetrical components
• Derivation of sequence impedances
• Sequence networks
• Synthesis of sequence networks: positive, negative, zero
• Workshop: sequence networks

Modeling Power System Equipment for Fault Calculations

• Transmission and distribution lines
• Power transformers: transformer-winding configurations, autotransformers, positive, negative and zero sequence models
• Motors and adjustable speed drives
• Synchronous generators
• Inverter based generation and energy storage systems

Day 3

Sequence Networks

Fault Calculations

• Modeling fault impedance
• Sequence Networks for different types of three-phase short-circuit faults: three-phase, line-to-ground, double line-to-ground, line-to-line
• Short-circuit fault calculations: at fault location and other points on the network
• Workshop: Short-circuit fault calculations

Open-Circuit Faults

• Types of three-phase open-circuit faults: intentional vs. unintentional, one line open, two lines open
• Open-circuit fault calculations
• Workshop: Open-circuit fault calculations

Dr. Brian Johnson

Brian K. Johnson (Senior Member, IEEE) received the Ph.D. degree in EE from the University of Wisconsin-Madison, in 1992. He is currently the Schweitzer Engineering Laboratories Endowed Chair in Power Engineering and  University Distinguished Professor with the ECE Department, University of Idaho. He is also the Acting Director for the Center for Secure and Dependable Systems. His research interests include power systems applications of power electronics, HVDC transmission, power system protection, power system transients, and resilient control systems. He is a Registered Professional Engineer in the State of Idaho.