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 course 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 (October 31, 2024)
  • Part I: Single-phase networks (Ch 1 - 6)
  • Part II: Unbalanced multiphase networks (Ch 7 - 10)
  • Part III: Power flow optimization (Ch 11 - 18)
  • Appendix: Mathematical preliminaries (Ch 19)
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 are mostly for the Feb 16, 2023 version of the draft textbook, and I’m in the process of revising them to match the current version of the text above. The chapter numbers on the slides and the text match for versions updated after Oct 31, 2024.

  • 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: Oct 31, 2024)
    • Ch 5 Branch flow models: radial networks: Keynote PDF (last update: Oct 31, 2024)
    • Ch 6 Example applications: Keynote PDF (last update: Oct 31, 2024)
  • Part II: Unbalanced multiphase networks
    • Ch 7 & 8 Component models: Keynote PDF (last update: July 5, 2023)
    • Ch 9 Bus injection models: Keynote PDF
    • Ch 10 Branch flow models: radial networks Keynote PDF
  • Part III: Power flow optimization
    • Ch 11 Smooth convex optimization:
    • Ch 12 Power system operation: Keynote PDF
    • Ch 13 Optimal power flow: Keynote PDF
    • Ch 14 Semidefinite relaxations: BIM: Keynote PDF
    • Ch 15 Semidefinite relaxations: BFM: Keynote PDF
    • Ch 16 Nonsmooth convex optimization:
    • Ch 17 Stochastic OPF:
    • Ch 18 Example applications: