The power flow has two answers

less than 1 minute read

Solve x² = 4 and nobody is surprised there are two answers. Solve a power flow and the same thing happens, but here the answers are operating points of a real network, and one of them is a place the network cannot actually stay.

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The solver is deliberately undamped: it does not restart, clamp, or quietly rescue a diverging run, because seeing the failure is the point. Converge onto the low-voltage root and the mismatch really is zero, so nothing looks wrong, and a tipping point gets handed over as an operating plan.

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