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ac-branch-pi-model

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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.

When to use

• computing branch flows in either direction
• aggregating bus injections for nodal balance
• checking MVA (rateA) limits
• computing branch loading %
• debugging sign/units issues in AC power flow

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