Book
Power System Analysis - Analytical Tools and Structural Properties
Steven H. Low, Caltech
This rough draft is based on lecture notes for the Power System Analysis courses that I have been teaching at Caltech for the last decade or so. Any corrections, questions, comments, or pointers will be greatly appreciated!
Current draft (December 13, 2024)
- Part I: Single-phase networks (Ch 1 - 6)
- Part II: Power flow optimization (Ch 7 - 14)
- Part III: Unbalanced three-phase networks (Ch 15 - 19)
- Appendix: Mathematical preliminaries (Ch 20)
Solution manual
Solutions to most of the exercises are available to instructors for teaching or researchers for self study. Request solution.
Slides
The slides below that are dated on or after Dec 13, 2024 match the chapters in the textbook. (Slides dated before Dec 13, 2024 are for the dated versions of the draft and undated slides are for the Feb 16, 2023 version of the draft.)
- Part I: Single-phase networks
- Ch 1 Basic concepts: Keynote PDF
- Ch 2 Transmission line models: Keynote PDF
- Ch 3 Transformer models: Keynote PDF (last update: July 5, 2023)
- Ch 4 Bus injection models: Keynote PDF (last update: Dec 13, 2024)
- Ch 5 Branch flow models: radial networks: Keynote PDF (last update: Dec 13, 2024)
- Ch 6 Example applications: Keynote PDF (last update: Dec 13, 2024)
- Part II: Power flow optimization
- Ch 7 Smooth convex optimization:
- Ch 8 Power system operations: Keynote PDF
- Ch 9 Optimal power flow: Keynote PDF (last update: Dec 13, 2024)
- Ch 10 Semidefinite relaxations: BIM: Keynote PDF (last update: Dec 13, 2024)
- Ch 11 Semidefinite relaxations: BFM: Keynote PDF (last update: Dec 13, 2024)
- Ch 12 Nonsmooth convex optimization:
- Ch 13 Stochastic OPF:
- Ch 14 Example applications:
- Part III: Unbalanced three-phase networks