AC Optimal Power Flow, Unit Commitment, and Security-Constrained Economic Dispatch: Y-Bus, Newton-Raphson Power Flow, DC-OPF Approximations, and N-1 Contingencies

Deep End Era. Engineering with Sankalp · Oct 29, 2026 · 1h 31m

Grid dispatch must respect network physics as well as prices. This episode develops the Y-bus and AC power-flow equations, Newton-Raphson load flow, AC and DC optimal power flow, transfer and outage factors, unit commitment and N-1 security-constrained dispatch.

Chapters

00:00:00 Chapter 1: Every Five Minutes on the Continental Grid — Solving the Hardest Optimization Problem in Industrial Engineering

00:03:25 Chapter 2: Building the Nodal Admittance Matrix ($\mathbf{Y}{\text{bus}}$) — $\pi$-Model Transmission Lines, Phase-Shifting Transformers, and Extreme Sparsity

00:11:55 Chapter 3: The…