ELEN E4511: Power Systems Analysis

Instructor: Javad Lavaei
Time: Wednesday, 10:10 am-12:40 pm
Location: MUDD 1024
Office Hours: Wednesday, 2-4 pm
TA: Ramtin Madani, rm3122@columbia.edu
Grading Policy:

• 10% active participation

• 30% homework

• 60% course project

Description

One of the grand challenges of this century is the modernization of electrical power networks. This course provides a fundamental understanding of not only the conventional power grid but also the electric grid of the future (known as Smart Grid).

The topics covered in this course include:

• Modeling of power systems (transmission lines, transformers, relevant power electronic devices, generators, etc.)

• Architecture of power networks

• Operation of power systems (study of both steady state and transient behavior)

• Control of power networks

• Optimization for power networks

• Electricity market

• Smart Grid

Main textbook:

• “Power Systems Analysis” by Arthur R. Bergen and Vijay Vittal (second edition).

Other references (optional):

• “Fundamentals of Power System Economics” by Daniel S. Kirschen and Goran Strbac

• “Applied Optimization: Formulation and Algorithms for Engineering Systems” by Ross Baldick

• “Convex Optimization” by Stephen Boyd and Lieven Vandenberghe

Lecture Notes

• Week 1: Overview of Power Grids; Circuits; Complex Power (additional slides)

• Week 2: No lecture (make-up session to be announced later)

• Week 3: Three-Phase Networks; Per Phase Analysis; Transmission Lines

• Week 4: Voltage Collapse; Transformers; Phase Shifter

• Week 5: Per-Unit Normalization; Power Flow Analysis; Contraction Map

• Week 6: Optimization for Distribution Networks

• Week 7: Convex Optimization (Supplemental Material)

• Week 8: Duality and Optimal Power Flow (Supplemental Material)

• Week 9: Electricity Market

• Week 10: Generator Modeling and Control & Stability

• Week 11: Topics in Smart Grid (Renewable, PMU, FACTS, DGs, Demand Response, Security, etc)
  
  

Homework

• Homework 1

• Homework 2

• Homework 3

• Homework 4

• Homework 5