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 2024
EERC 508 - T, R 9:30-10:45 am

Dr. Bruce Mork | Office Hours

UPDATED WEEK-BY-WEEK

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: Module 3 (pre-req materials) 
 
Schedule and Coverage (Subject to Change Depending on Learning Needs of Students):
Weekly Module
(Read Material
Before Class)


Lecture Date

 
Material Coverage (see Canvas Module for homework postings and to confirm deadlines):
0 - Ch. 1
L0 - Aug 27th
 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
L1 - Aug 27th

L2 - Aug 29th
 Homework 1 - Due Tues Sep 10th, 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 6th)  
2 - Ch. 2,3
L3 - Sep 3rd

L4 - Sep 5th
  CKTS homework | Answrs - Due Tues Sep 17th, 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 Tues Sep 24th) 
3 - Ch. 3
L5 - Sep 10th
L6 - Sep 12th
 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 
4 - Ch.3
L7 - Sep 17th
L8 - Sep 19th

 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 __th 9am)
 Synchronous Machines study problems  ( Ch.3 Soln
5 - Ch. 3

SM - Notes
L9 - Sep 24th
L10 - Sep 26th
 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

L11 - Oct 1st

L12 - Oct 3rd
 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.
 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. 5

L13 - Oct 8th
L14 - Oct 10th
 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 | Answrs Hmwk (all problems + supplemental prob)
 Transmission Lines as a two-port network, ABCD parameters, etc.  
8 - Ch. 5,6
§5.1, 5.2
ATP Quickstart
ATP Tutorial Video
(skip first 5:30)
L15 - Oct  15th

Trav Wave Notes

Oct 17th
 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, 
Adding lines, xmfrs, loads, into [Y] .  ( Ch.7 Soln )
 Traveling waves - ATP Video - Sample Case in ATP
 Fall Break - No Lecture 16
9 - Ch. 6
 §6.1
§6.2


  L17 - Oct 22nd

  L18 - Oct 24th

 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. 8,9,10


L19 - Oct 29th


L20 - Oct 30th

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 Tues Nov 15th, 9am.
 Intro to Planning Studies ( Loadflow Exercises due 9am Nov 30th), 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 8th.
L21 - Nov 5th
 

L22 - Nov 7th
 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
 

L23 - Nov 12th

L24 - Nov 14th
 Term Project - By Mon Dec 5th (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 __th.

 Economic Dispatch - lossless;
Intro to Dispatch - Hand Notes
13 - Ch. 12

L25 - Nov 19th

L26 - Nov 21st
 Economic Dispatch derivation and calculatioins.  Dispatch Exercises - Team Exercise.
 
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 Mon Dec 5th.  
Fall Break
Nov 25th - 29th
 Thanksgiving Recess - Enjoy.  Come back refreshed and ready
14 - Ch. 11
System Stability

L27 - Dec 3rd
L28 - Dec 5th

  ( 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.
 Overview of Smart Grid Technologies.
 
Term Project  - Final Report is due Wed Dec 11th 10am; PowerPoint slides due 5pm Wed Dec 11th.
Finals Week
 Thurs Dec 12th
 Term Project Presentations - Thurs Dec 12th, 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 |
  • Matlab "On-ramp" tutorial for beginners (2 hours) 
  • Course Text and other Useful References:

    Useful Web links and other resources: