6.691 | Spring 2006 | Graduate

Seminar in Electric Power Systems


Course Meeting Times

Lectures: 2 sessions / week, 1.5 hours / session

Course Description

This is a new subject about electric power systems, an old but still very important area. Students taking this subject should have some background in electric power systems (e.g. having taken 6.061) or a very good background in electric network theory with some controls and electromagnetics. We will get into some aspects of economics of an electric power system (to try to understand the deregulation and restructuring of the industry) so some background in Economics would be helpful. As the subject is new and the possible course content is vast, it is impossible to fix the syllabus; we will be doing different things each time. This year we can anticipate looking into DC distribution systems and perhaps discussing renewable sources. The calendar given below is a ‘straw man’ and can be expected to change.

There will be some exercises associated with this subject. Expect several problem sets during the term and perhaps two quizzes. There will be no final exam but a final project instead.


Background information and many of the problems are available from the textbook: Bergen, A., and V. Vittal. Power Systems Analysis. 2nd ed. Upper Saddle River, NJ: Prentice Hall, 1999. ISBN: 0136919901.


The calendar below provides information on the course’s lecture (L), quiz (Q), and project (P) sessions.

L1 Introduction, Preview, Review of Concepts
L2 Complex Power, Polyphase Systems
L3 Transmission Lines, Sending and Receiving End Circle Diagrams
L4 Sending and Receiving End Circle Diagrams (cont.), Z, Y and H Parameters for Two Ports
L5 Transformers, Polyphase Connections, Start Load Flow
L6 Load Flow Problem, Setup, Matrices
L7 Newton Raphson Method, Decoupled Load Flow
L8 Basics of Synchronous Machines
L9 Synchronous Machine Models
L10 Synchronous Machine Models (cont.), Per-Unit Models, Frequency Response
L11 Machine Operation, Electromechanical Dynamics
P1 Discussion of Project Ideas
Q1 Quiz 1
L12 Voltage Regulator, Power System Stabilizer
L13 Continued Discussion of Small Signal Behavior
L14 Generation Costs
L15 Economic Dispatch
L16 Optimal Dispatch
L17 Symmetrical Components
L18 Modeling of Faults
L19 System Protection: Relaying
L20 Slack (Catch up)
P2-P4 Project Presentations
Q2 Quiz 2

Course Info

As Taught In
Spring 2006
Learning Resource Types
Lecture Notes
Projects with Examples
Problem Sets with Solutions