Book
- Part I: Power network: models, operations, analysis (Ch 1 - 7)
- Part II: Power flow optimization (Ch 8 - 13)
- Part III: Unbalanced three-phase network (Ch 14 - 18)
- Appendix: Linear algebra preliminaries (Ch 19; not revised 2nd pass)
This book is tailored for students and researchers who are interested in both power systems and analytical tools for understanding their structural properties. It prepares students for research by equipping them with, not only power system knowledge, but also analytical techniques and a way of thinking. Structural understanding and research taste are more important for conceiving possibilities, formulating questions, steering explorations and verifying results in an age when the means for executing them is being rapidly automated.
Any corrections, questions, comments, or pointers will be greatly appreciated!
Solutions to almost all of the exercises are available to instructors for teaching or researchers for self study. Request solution.
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.) I will conti nue to update and complete the slides to match the final version of PSA.
- Part I: Power network: models, operation, analysis
- Ch 1 Basic concepts: Keynote PDF (last update: Oct 3, 2025)
- Ch 2 Transmission line models: Keynote PDF (last update: Oct 5, 2025)
- Ch 3 Transformer models: Keynote PDF (last update: Nov 4, 2025)
- 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 System operation: power balance: Keynote PDF (last update: April 15, 2025)
- Ch 7 System operation: estimation and control: Keynote PDF (last update: April 15, 2025)
- Part II: Power flow optimization
- Ch 8 Smooth convex optimization:
- 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: Keynote PDF (last update: Feb 7, 2025)
- Ch 13 Stochastic OPF: Keynote PDF (last update: April 15, 2025)
- Part III: Unbalanced three-phase networks