The power flow has two answers

Line impedance
strong lineweak line
Line impedance
strong lineweak line
Loading multiplier λ
lightspecified
The table, from above
Click anywhere to drop a ball. Every starting point in the blue region rolls to A, every starting point in red rolls to B.
Click anywhere on the table to drop a ball.
How to use this tool
Line impedance
low |Z|high |Z|
Click anywhere on the map to run Newton–Raphson from that initial (Vm, Va).
No run yet.
Show raw NR trace
The convergence map is precomputed: each pixel is one Newton–Raphson run from that starting point, 45 000 runs per impedance. Everything else on this page — both exact solutions, the nose curve, the magnet toy, and the trace drawn when you click — is computed in your browser as you interact.