Power System Analysis Skills for Engineers and Technicians

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

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. 

Registration Date/Time:
8/12/2025 7:30am Central Time

Event Dates/Times:

• 8/12/2025  8:00am - 5:00pm Central Time
• 8/13/2025  8:00am - 5:00pm Central Time
• 8/14/2025  8:00am - 3:00pm Central Time

This is a HyFlex (in-person and online) taught course. Your registration is for one teaching platform only: in-person or online. Please be prepared to attend all days either in-person or online. Contact us if you have any questions or if you need to make a change. 

Registration confirmation will guide students through accessing the Canvas course site.

Students will create and log in to the Canvas course site with a NetID. Course assets such as instructional materials, participation certificates, and course evaluations will be available to all students through the Canvas course site.

The course materials are all digital and only available on the Canvas course website. 

Online attendees will access sessions via the Zoom web conferencing platform. The Zoom link will be provided a few days before the course.

Please watch the email address that you provide during registration for release dates and pre-course information. 

• Program Director

  Shalini Bhat

• Instructor

  Dr. Brian Johnson

  Schweitzer Engineering Laboratories Endowed Chair in Power Engineering

  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.

If you are planning to attend an Interdisciplinary Professional Programs course, payment is required at the time of registration. Below are the payment options:

Pay by Credit Card

Enroll online and pay by credit card.

• Search for the course on the website and then click on the Enroll Now button from the course webpage.
• Enter all necessary course attendee information and payment information on the course enrollment page.
• You will receive an email to confirm successful enrollment and payment.

Enroll over the phone and pay by credit card.

• Call CERC Registrations at 608-262-2451.
• Provide the registrations representative with:
  • the course name, dates, and/or course number.
  • the necessary course attendee information and payment information.
• You will receive either a mailed document or an email to confirm successful enrollment payment.

Pay by Check

Mail in a completed registration form and check payable to UW Madison.

• Fill out a registration form (found either in the back of the course brochure you received in the mail or here).
• Prepare a check, made payable to UW Madison.
• Mail the registration form and check to: CERC Registrations 21 N Park St, Ste 7101 Madison, WI 53715
• You will receive either a mailed document or an email to confirm successful enrollment and payment.

Pay by Purchase Order

• Request Purchase Order information from interpro@union.wisc.edu
  • If a fee quote is needed, contact custserv@interpro.wisc.edu first
• You will receive an invoice from UW–Madison Business Services for payment, usually within 3–5 business days

Military

If using SF-182 form, please call our registration number at 608-262-2451 or email interpro@union.wisc.edu for details and instructions.

Event Cancellation

We reserve the right to cancel a course due to insufficient enrollment or unforeseen events. If we cancel a course, participants will be notified via email or phone and will be given the option for a full refund or to transfer their registration and any fees paid to another course. We are not responsible for non-refundable plane tickets, hotel reservations, and other travel related expenses. For enrollee Course Cancellation, refer to notes on course page.

If you cannot attend, please notify us no later than one week before your course begins, and we will refund your fee. Cancellations received after this date and no-shows are subject to a $150 administrative fee. You may enroll a substitute at any time before the course starts.