## ELEN E4511: Power Systems AnalysisProfessor Javad Lavaei, UC Berkeley, Teaching at Columbia University in Spring 2014
10% active participation 30% homework 60% course project
## DescriptionOne 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 NotesWeek 1: Overview of Power Grids; Circuits; Complex Power (additional slides) Week 2: Three-Phase Networks; Per Phase Analysis; Transmission Lines Week 4: Per-Unit Normalization; Power Flow Analysis; Contraction Map Week 6: Convex Optimization (Supplemental Material) Week 7: Duality and Optimal Power Flow (Supplemental Material) Week 8: Electricity Market Week 10:Topics in Smart Grid (Renewable, PMU, FACTS, DGs, Demand Response, Security, etc.)
## Homework |