Laboratory for Control Theory and Power Systems
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
Homework: Set 1 , Set 2 , Set 3 , Set 4, Set 5 (due on Apr 26)
Lecture Notes:
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Week 1: Overview of Power Grids; Circuits; Complex Power (additional slides)
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Week 2: No lecture (make-up session to be announced later)
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Week 3: Three-Phase Networks; Per Phase Analysis; Transmission Lines
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Week 4: Voltage Collapse; Transformers; Phase Shifter
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Week 5: Per-Unit Normalization; Power Flow Analysis; Contraction Map
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Week 6: Optimization for Distribution Networks
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Week 7: Convex Optimization (Supplemental Material)
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Week 8: Duality and Optimal Power Flow (Supplemental Material)
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Week 9: Electricity Market
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Week 10: Generator Modeling and Control & Stability
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Week 11: Topics in Smart Grid (Renewable, PMU, FACTS, DGs, Demand Response, Security, etc.)
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:
o
Modeling of power systems
(transmission lines, transformers, relevant
power electronic devices, generators, etc.)
o
Architecture of power networks
o
Operation of power systems (study of
both steady state and transient behavior)
o
Control of power networks
o
Optimization for power networks
o
Electricity market
o
Smart Grid
Other references (optional):
o
"Fundamentals of
Power System Economics" by Daniel S.
Kirschen and Goran Strbac
o
"Applied
Optimization: Formulation and Algorithms for
Engineering Systems" by Ross Baldick
o "Convex Optimization" by Stephen Boyd and Lieven Vandenberghe