EE 5200
Advanced Methods in Power Systems Analysis

Fall Semester 2008
EERC B45 - M,W,F 1:05-1:55 pm

Dr. Bruce Mork | Office Hours

UPDATED WEEK-BY-WEEK

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

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

Updated thru: Week 14
 
Schedule and Coverage (Subject to Change Depending on Learning Needs of Students):
Weekly Coverage
(Read Material
Before Class)


Lecture Date

 
Material Coverage:
1 - Ch. 1
L1
L2 - Sep 3rd
L3 - Sep 5th
 Labor  Day, no lecture.  Course prepration - Study course pre-req materials.  Rate your skills.
 Basic Phasor Analsis Concepts, Practice Problems, Intro to Matlab
 K-Day, no lecture. 
Solutions: Ch.1 Review Probs (Complete by Sep 8th)
2 - Ch. 1,2
 Proper Use of "Closed" Voltage Phasor Diagrams for Graphical Analysis  CKTS - Due Sep 15th
 Three-Phase network analysis, per-phase, per-unit, transformer basics.  Mag Circuits Review
 
Suggested Probs: 2.2, 2.4, 2.6, 2.8, 2.9, 2.14, 2.16, 2.17, 2.18, 2.21 (Ch.2 Soln XFMR Homework
3 - Ch. 2
L7 - Sep 15th
L8 - Sep 17th
L9 - Sep 19th
 Transformer connections (Delta, Y, auto, zig-zag), core structure (G&S Overview)
 3-winding transformers, Followup on Circuit Analysis Basics related to CKTS exercises

 IEEE/IEC Phase Shifts (std 30° , non-std), 3-Winding Transformers, Nameplate, Schematic  
4 - Ch.2,3
L10 - Sep 22nd
L11 - Sep 24th

L12 - Sep 26th
 Transformers: 3-winding, LTCs, PSs, paralleling, etc.
 Synchronous Machines - salient, non-salient, d-q-0  ( Ch.3 SolnSYNC Hmwk, P1 (Due 9am Oct 6th)
 
Synchronous Machines - Capability Curves, d-q circuit analysis
 Ch.3 - Synchronous Machines a-b-c -- d-q-0 analysis methods (Dr. Bohmann guest lecture) 
5 - Ch. 3,4,5

L13 - Sep 29th


L14 - Oct 1st


L15 - Oct 3rd
 Term Project Guidelines - Send short e-mail with Term Project idea by end of Week 6.
 Synch Machine Wrapup - physical construction, more on d-q
 Help session on per unit base conversion; 3-winding transformers; Synch Mach Cap Curves, Faults.
 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 )  
 
T-Lin Homework (due Thurs Oct 16th, 9am)
  Suggested Probs: 5.2, 5.4, 5.6, 5.8, 5.9, 5.11 ( Ch.5 Soln )   
6 - Ch. 6
ATP Quickstart
ATP Tutorial Video

L16 - Oct 6th

L17 - Oct 8th
L18 - Oct 10th
 Submit via e-mail Brief Outline of Term Project Proposal by end of week.
 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)  

7 - Ch. 6

L19 - Oct 13th
L20 - Oct 15th
L21 - Oct 17th
 By end of week: Submit formal outline of project with key references.  Oct 24th, 9am: TLIN2 Hmwk
 Capacitance, Transmission Lines as a two-port network, ABCD parameters, etc.   (Ch.6 Soln )
 Line Charging Current,
Double-circuit lines, Zero Sequence Coupling 
8 - Ch. 7
§8.1, 8.2
L22 - Oct  20th
L23 - Oct 22nd
L24 - Oct 24th
Trav Wave Notes
 ABCD parameters, shunt and series compensation, Ferranti Rise
 Transmission Line Performance Issues.  Voltage Regulation, 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 | Intro to Matlab Assignment
9 - Ch. 7,10

Admittance Formulations in General, [Y] vs. [Z] considerations, network reduction (Kron method)
 Mutual Inductance of Double-Ckt Lines; Fault Calculation using [Z], Current contributions using [Y].

 Network Calculations with [Y] and [Z]  ( Ch.8 Soln )
 X/R Ratio, Circuit Breaker Ratings, Practical [Ybus] method for SC calculation.

 
Term Project - Submit detailed outline and nearly-complete reference list by end of week.
10 - Ch. 7, 10


L28 - Nov 3rd
L29 - Nov 5th

 L30 - Nov 7th

 Dr. Mork is at Mipsycon Wed of this week.   Lectures on video as usual.
 
Practical [Ybus] and Z[bus] methods for SC calculation. ( Ch.10 Soln )  ( Ch.11 Soln )
 Calculation Methods for Fault Studies (Dr. Bohmann video lecture) 
 Wrapup on balanced 3-ph fault calcs, circuit breaker ratings, fuses.
 
Sequence Networks, unsymmetrical faults ( Short Circuit Exercises Delayed until Fri Nov 14th)
11 - Ch. 9,13
NR Details

Aspen Tutorial
Aspen Video

L31 - Nov 10th

L32 - Nov 12th
L33 - Nov 14th

 Planning Studies ( Loadflow Exercises due 9am Dec 2nd), Contingencies ( Ch.14 Soln )
 
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.
 Term Project - Journal paper outline (and begin analysis) by Fri Nov 14th.
12 - Ch. 13
 
Gen/Grid Operation

Ch. 10,11,12

L34 - Nov 17th
L35 - Nov 19th
L36 - Nov 21st
 Frequency control, droop, AGC, unit commitment          ( Ch.13 Soln )
 Generator Paralleling and other operational issues.  Homework Syst_Op - due Dec 4th.

 Economic Dispatch - lossless;
Intro to Dispatch - Hand Notes 
 
Term Project - Submit final draft of journal paper analysis before leaving for Thnxgiving holiday.
Fall Break Nov 24th - 28rd  Thanksgiving Recess - Enjoy.  Come back refreshed and ready
13 - Ch. 12,16
System Stability
L37 - Dec 1st
L38 - Dec 3rd
L39 - Dec 5th

 Economic Dispatch derivation and calculatioins.  Dispatch Exercises - Due Dec 12th
 
Economic Dispatch, example of simplistic lossless case; Economic Dispatch including losses.  
 
Economic Dispatch including losses.  System Stability ( Ch.12 Soln )
 ( Ch.16 SolnFull Set of Stability Notes | Stability Exercises (not collected) | Stability Exer Soln    
14 - Ch. 16,6,15
L40 - Dec 8th
L41 - Dec 10th
L42 -  Dec 12th

 System Stability, Swing Equation, Out-of-Step problem
 
Power System Transients - Basic Use of ATP program.  Cap Bank Switching.
  Intro to State Estimation ( Ch.15 Soln )  
 
Term Project  - Final Report is due Fri Dec 12th.  See instructions given in Lecture 41.
Finals Week
 Dec 17th
 Term Project Presentations are 12:45-2:45pm Wed, EERC B45. 


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 operational complexities imposed by deregulation of the power industry, recent major blackouts and system security/reliability concerns, installation of distributed generation, and 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)
  • System-Level Stability Analysis (MatLab, PSS/E?)
  • Introduction to Transient Analysis (ATP, MatLab), 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 6:20) | 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: