Power System Analysis - A Mathematical Approach
Lecture Notes for EE/CS/EST 135
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!

Register to view the content. We will periodically add new chapters and update existing ones here. We will also inform registered users of major updates (you can always opt out).

  • Part I: Single-phase networks (Ch 1 - Ch 5; ignore Ch 6)
  • Part II: Unbalanced multiphase networks (Ch 7 - 10)
  • Part III: Power flow optimization (Ch 11 - 15)
  • Part IV: Appendix: Mathematical preliminaries (Ch 25)

The slides below are mostly for the Feb 16, 2023 version of the draft textbook (except for a few updated chapters). The chapter numbers may not match with the re-organized current version above (will be updated in the future).

  • Part I: Single-phase networks
    • Ch 1 Basic concepts
    • Ch 2 Transmission line models
    • Ch 3 Transformer models
    • Ch 5 Bus injection models
    • Ch 6 Branch flow models
  • Part II: Unbalanced multiphase networks
    • Ch 8 Component models
    • Ch 9 Bus injection models
    • Ch 10 Branch flow models
  • Part III: Power flow optimization
    • Ch 11 Power system operation
    • Ch 12 Optimal power flow
    • Ch 13 Semidefinite relaxations: BIM
    • Ch 14 Semidefinite relaxations: BFM

If you have registered, click here to access the content.