Expand and correct math details in the power flow docs#64
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Verify each added formula against the sensitivity implementations. - DC power flow: write out the switching flow sensitivity (direct and indirect parts) and expand the angle sensitivity term into explicit form - DC OPF: gate the angle difference limits by sw to match the model, and add the explicit per-branch KKT switching derivative blocks - AC power flow: add an Admittance and Topology Sensitivity section and show the sw gate in the bus admittance matrix - AC OPF: note the implicit function framing of the KKT differentiation - Cite Talkington et al. (arXiv:2510.17071) in the AC docs
cameronkhanpour
added
the
documentation
Branch current and flow sensitivities to g and b include a direct term on the perturbed branch (its own admittance acting on its voltage drop), in addition to the term through the voltage change. This matches the implementation (the direct topology current contribution) and the paper's line current and flow sensitivity equations.
Resolve the doc conflicts in dc-power-flow.md and dc-opf.md by combining main's per-island reference support (multiple reference buses, E_ref, refs) with this branch's math improvements (sw-gated angle limits, explicit switching KKT derivative blocks, expanded flow sensitivity). Both sides independently added the diag(sw) factor to the theta stationarity; kept main's E_ref form which already includes it.
Benchmark Results (Julia v1)Time benchmarks
Memory benchmarks
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Improves the mathematical detail in the
docs/src/math/pages, with every added formula checked against the sensitivity code. Docs only; no code changes.DC Power Flow
DC OPF
swto match the model and KKT system.AC Power Flow
swgate in the bus admittance matrix.AC OPF
Cites Talkington et al. (arXiv:2510.17071) in the AC docs.