Individual skill

ac-branch-pi-model

AC branch pi-model power flow equations (P/Q and |S|) with transformer tap ratio and phase shift, matching `acopf-math-model.md` and MATPOWER branch fields. Use when computing branch flows in either direction, aggregating bus injections for nodal balance, checking MVA (rateA) limits, computing branch loading %, or debugging sign/units issues in AC power flow.

tasks/energy-ac-optimal-power-flow/environment/skills/ac-branch-pi-model/SKILL.md

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# AC Branch Pi-Model + Transformer Handling

Implement the exact branch power flow equations in `acopf-math-model.md` using MATPOWER branch data:

```
[F_BUS, T_BUS, BR_R, BR_X, BR_B, RATE_A, RATE_B, RATE_C, TAP, SHIFT, BR_STATUS, ANGMIN, ANGMAX]
```

## Quick start

- Use `scripts/branch_flows.py` to compute per-unit branch flows.
- Treat the results as **power leaving** the “from” bus and **power leaving** the “to” bus (i.e., compute both directions explicitly).

Example: