EE 5200
Advanced Methods in Power Systems Analysis

Note: This is your At-a-Glance overview of the planned course for the whole semester.
Weekly reading assignments, supplemental notes, and links to lecture notes (updated after each lecture) are posted.
Links to homeworks are also provided, check Canvas to confirm submission date and details
Fall Semester 2021
EERC L100 - T, R 9:30-10:45 am

Dr. Bruce Mork | Office Hours


Course Syllabus | Pre-Req Material | Text & References | Useful Web Links | Homework Cover Sheet | Final Grades  

Term Project Guidelines | List of Term Projects | Past Term Project Examples: Ex:1  Ex:2 JPA:1 JPA:2 | ATP Quick-Start |

Updated thru: Week 7 (updated as lectures proceed....)
Schedule and Coverage (Subject to Change Depending on Learning Needs of Students):
Weekly Coverage
(Read Material
Before Class)

Lecture Date

Material Coverage:
0 - Ch. 1
L0 - Aug 25th
 Course prepration - Study course pre-req materials.  Rate your skills, fill in any pre-req gaps you may have!
1 - Ch. 1,2
Smart Grid Overview
Tues Aug 31st

Sep 2nd
 Homework 1 - Due Wed Sep 8th, 9am
 Proper Use of "Closed" Voltage Phasor Diagrams for Graphical Analysis 
 Basic Phasor Analsis Concepts, Practice Problems, Intro to Matlab
Solutions: Ch.1 Review Probs (Complete by Sep 10th)  
2 - Ch. 2,3
  CKTS homework | Answrs - Due Mon Sep 20th, 9am  Mag Circuits Review
 Suggested Study Probs: 2.2, 2.4, 2.6, 2.8, 2.9, 2.14, 2.16, 2.17, 2.18, 2.21 (Ch.2 Soln )
 Transformer connections (Delta, Y, auto, zig-zag), core structure (G&S Overview)
 IEEE/IEC Phase Shifts (std 30° , non-std), 3-Winding Transformers, Nameplate, Schematic 
 XFMR Homework (Due 9am Mon Sep 27th) 
3 - Ch. 3
L7 - Sep 14th
L8 - Sep 14/16th
L9 - Sep 16th
 Three-Phase network analysis, per-phase, per-unit, transformer basics.
 LTCs, 3-winding transformers, Factory Tests, Binary SC Impedance, star equivalent. | xls example
 More on 3-winding transformers, Followup on CKTS
| Intro to Matlab Assignment (Due Oct  4th, one week extension)
4 - Ch.3
L10 - Sep 21st
L11 - Sep 21/23rd
L12 - Sep 23rd

 Transformers: PSs, paralleling, etc.  Office Hr#2
 Off-nominal turns ratio, paralleling, circuit analysis methods.  Hand-written notes/examples
 Circuit analysis methods (cont'd); Ch.3 Sychronous Machines.
SYNC Hmwk, P1 (Due Oct 6th 9am)
 Synchronous Machines study problems  ( Ch.3 Soln
5 - Ch. 3

SM - Notes
L13 - Sep 28th
L14 - 28th/30th
L15 - Sep 30th
 Ch.3 - Synchronous Machines a-b-c -- d-q-0 analysis methods (Video of Dr. Bohmann guest lecture)
 Synchronous Machines - d-q circuit analysis | Capability Curves 
 Synch Machine Wrapup - physical construction, more on d-q
 Synch Machines recap: Over- vs. Underexcited, control via Ea and δ, Cap Curves, Faults.

6 - Ch. 4,5

L16 - Oct 5th


L17 - Oct 5/7th
Oct 7, 2016
L18 - Oct 7th

 Term Project Guidelines - Send short e-mail with Term Project idea by Week 7.
Transmission Lines, T-Line Configs, Overhead Conductors, Overview of RLC effects, pi-equivalent, etc.
 Suggested Probs: 4.2, 4.5, 4.6, 4.12, 4.13, 4.14, 4.15, 4.17, 4.18, 4.21, 4.22 ( Ch.4 Soln )  
Suggested Probs: 5.2, 5.4, 5.6, 5.8, 5.9, 5.11 ( Ch.5 Soln )   
 Self-Inductance & Mutual Inductance recap; Series Impedance: Resistance, Self Ind, Mutual Ind.
 In-Class Guest Lecture: Quick Start to Simulink - Dr. Jeff Burl
 Inductance for 3-phase systems of conductors using Line Constants of ATPDraw
 Use of 
Line Constants (from EMTP, Aspen, CAPE, etc) | TLIN Homework - Due Oct 25th 9am

7 - Ch. 6

L19 - Oct 12th
L20 - Oct 12/14th
L21 - Oct 14th
 By Week 8: Submit formal outline of project with key references.
 CapacitanceDouble-circuit lines, Zero Sequence Coupling    (Ch.6 Soln )
 Line Charging Current, 
Nov 1st, 9am: TLIN2 Hmwk (all problems + supplemental prob)
 Transmission Lines as a two-port network, ABCD parameters, etc.  
8 - Ch. 7
§8.1, 8.2
ATP Quickstart
ATP Tutorial Video
(skip first 5:30)
L22 - Oct  19th
L23 - Oct 19/21st
L24 - Oct 21st

Trav Wave Notes
 ABCD parameters, shunt and series compensation, Ferranti Rise, Voltage Regulation
 Transmission Line Performance Issues.  Short-, medium-, and long-line models
 Long line behaviors, Zc, propagation constants, 
Ch.6 Recap, Adding lines, xmfrs, loads, into [Y] .  ( Ch.7 Soln )
 Traveling waves - ATP Video - Sample Case in ATP
9 - Ch. 7,10

 Admittance Formulations in General, [Y] vs. [Z] considerations
 Switching lines and equipment in and out of system, off-nominal transformers
 Mutual Inductance of Double-Ckt Lines;
network reduction (Kron method)
 Network Calculations with [Y] and [Z]  ( Ch.8 Soln )
Term Project - Submit detailed outline and nearly-complete reference list by end of week.
10 - Ch. 7, 10

L28 - Nov 2nd

L29 - Nov 2/4th

L30 - Nov 4th
Fault Studies
 Fault Calculation using [Z], Current contributions using [Y].
 X/R Ratio, Circuit Breaker Ratings, Practical [Ybus] method for SC calculation.
 Practical [Ybus] and Z[bus] methods for SC calculation. ( Ch.10 Soln )  ( Ch.11 Soln )
 Wrapup on balanced 3-ph fault calcs, circuit breaker ratings, fuses.
Sequence Networks, unsymmetrical faults ( Short Circuit Exercises ) Due Mon Nov 11th, 9am.
 Intro to Planning Studies ( Loadflow Exercises due 9am Nov 18th, extension possible, Dec 2nd latest), Contingencies ( Ch.14 Soln )
 Calculation Methods for Fault Studies (Dr. Bohmann video lecture is also in Modules area of Canvas) 
 Term Project - Journal paper outline (and begin analysis) by Mon Nov 11th.
L31 - Nov 9th
L32 - Nov 9/11th
L33 - Nov 11th
 Intro to Loadflow, see also "NR Details" and 17-bus New Zealand case (Example Cases below)
 Intro to Loadflow, Aspen software, : [ Sample 5-bus system | Ch.9 Soln  
 Wrapup on Loadflow - Remedial actions for planning study, Contingencies, Security.  
12 - Ch. 12
Gen/Grid Operation
Ch. 10,11,12

L34 - Nov 16th
L35 - Nov 16/18th
L36 -Nov 18th
 Term Project - By Mon Dec 9th (end of Week 13), submit final draft of journal paper analysis 
 Frequency control, droop, AGC, unit commitment          ( Ch.13 Soln )
 Generator Paralleling and other operational issues.  Homework Syst_Op - due Dec 8th (ok til Dec 11th 9am).

 Economic Dispatch - lossless;
Intro to Dispatch - Hand Notes
 Take-home Exam - 48 hrs in Dec 6th to Dec 11th time window
Fall Break
Nov 22rd - 26th
 Thanksgiving Recess - Enjoy.  Come back refreshed and ready
13 - Ch. 12
L37 - Nov 30th
L38 - Nov 30th/2nd
L39 - Dec 2nd
 Economic Dispatch derivation and calculatioins.  Dispatch Exercises - Team Exercise. Accepted latest Dec 15th 9am
Economic Dispatch, example of simplistic lossless case; Economic Dispatch including losses.  
Economic Dispatch including losses.  System Stability ( Ch.12 Soln
 Submit final Journal Paper Analysys and short .ppt presentation or "mini-lecture" by Fri Dec 11th.  
14 - Ch. 13
System Stability

L40 - Dec 7th
L41 - Dec 7/9th
L42 -  Dec 9th

  ( Ch.16 SolnFull Set of Stability Notes | Stability Exercises (not collected) | Stability Exer Soln   
 System Stability, Swing Equation, Out-of-Step problem
Power System Protection (EE5223) - basic overview, building on EE5200.
  Intro to State Estimation ( Ch.15 Soln ); Overview of Smart Grid Technologies.
Term Project  - Final Report is due Wed Dec 16th 10am; PowerPoint slides due 5pm Wed Dec 16th.
Finals Week
 Thurs Dec 16th
 Term Project Presentations are on Thurs Dec 16th, 8:00 am, Online: Zoom. Attendance mandatory. 

Course Description and Learning Goals:

EE 5200 is the lead-off graduate course in Electrical Power Systems.  The main goal of the course is to quickly review and then advance the student's existing knowledge of power systems analysis.  Emphasis is on foundation theories, advanced analysis methods, developing conceptual insights, and gaining experience with applicable software simulation and analysis packages.  Although today's software is quite advanced, in order to properly apply the software and interpret the results we must have both a good analytical understanding and a practical/conceptual "big picture" understanding of how the system behaves and of all of the interactions between the equipment and components that make up the system.  Power systems consist of hundreds or thousands of "buses" or nodes, and the network equations dealt with may have thousands of variables.  New smart grid technologies, operational complexities imposed by deregulation of the power industry, lessons learned from major blackouts, NERC system security/reliability concerns, installation of distributed generation, application of FACTS and other state-of-the-art equipment has renewed the need for sound analysis, simulation, and design skills.  This course provides the foundation for the remaining power area graduate courses.  Computer simulation methods, formerly combined with this course, are now taught in EE5240

Topics typically covered in this 14-week course and the software used are as follows (textbook, instructor, and priorities may alter coverage):

  • Good habits in circuit analysis: double subscript notation, active/passive sign convention, visualization via phasor diagrams
  • Three phase circuit calculations: source, transformers, transformer design/application, and loads - wye, delta, & zig-zag.
  • Synchronous machines
  • Transmission lines and cables.
  • Advanced System Analysis, Operation, Design:
  • Load Flow, Planning Studies, System Operation (Aspen) Load Flow, Planning Studies, System Operation (Aspen)
  • State Estimation, System Operation, Frequency Control (MatLab, Matlab PowerSim)
  • Symmetrical Components and Short-Circuit Analysis (Aspen)
  • Introduction to Transient Analysis: Short circuit waveforms, line energization and traveling wave (ATP, MatLab).  
  •  System-Level Stability Analysis (MatLab, PSS/E) time permitting.
  •   Prerequisite Material, Useful References
  • Euler's Identity - The foundation of phasor analysis, as well as hyperbolic functions (used for long transmission lines)
  • Basic Circuit Analysis, Thevenizing, Phasor Analysis, Impedance, P,Q,S, etc.: EE3120 pre-req practice problems | Solutions
  • Basic 3-Phase Phasor Analysis - Review problem from EE3120
  • Magnetic Circuits - quick review and introduction of how a transformer works
  • Mutual Inductance - concept handout from EE3120 (refer to Section 2.2 of your text)
  • Transformers 101 - Everything you wanted (or suddenly need to know) about transformers but were afraid to ask...
  •  Delta-Wye Transformer - detailed example with solution from EE3120
  • EE 4221 Pre-Req Course Description
  • EE 4222 Pre-Req Course Description
  • Pre-Req Review Videos with Notes (from 2003 Archives)
  • Basic Circuit Analysis, Phasors, Three Phase Phasors: Lect 1 (skip first 12 mins) | Lect 1 Notes
  • Phasor Diagrams, Ideal Transformers, Nodal Analysis: Lect 2 (skip first 11:20) | Lect 2 Notes
  • Nodal Analysis, 3-phase circuits, Deltas and Wyes, Per Unit System: Lect 3 (skip first 3 mins) | Lect 3 Notes
  • Active & Passive Sign Convention for power flow, Per Unit, Transformers, Symmetrical Components: Lect 4 (skip first 2 mins) | Lect 4 Notes
  • Transformers, Induced Voltage & Polarity Marks, Phase Shift: Lect 5 (skip 3:45 - 5:20) | Lect 5 Notes
  • Phase Shift in Transformers, Phasor Diagrams, Application of Symmetrical Components: Lect 6 (skip first 3 mins) | Lect 6 Notes
  • ASPEN Software.  Tutorial: Notes | Video  
  • Matlab Programming (fundamentals).  Tutorials:  [ Part 1 Notes | Part 1 Video ]; [ Part 2 Notes | Part 2 Video ]
  • Sample .m files from above tutorials: | for_ex.m | r2p.m | for_if_ex.m | while_ex.m | ft.m |
  • Course Text and other Useful References:

    Useful Web links and other resources: