Maglev LSM: 3-Phase Traveling Wave & Swing-Equation Phase Portrait (2D)

This 2D companion to the maglev linear synchronous motor simulator computes two pieces of real electrical-machine physics the 3D scene only implies. First, the traveling stator field is built the honest way — as the literal sum of three sinusoidal phase currents feeding three spatially-offset windings — and the panel shows that sum visibly collapsing into one clean traveling wave, exactly as three-phase superposition predicts. Second, a live phase-plane portrait plots the load angle δ against its own rate of change, revealing the same sin(δ) thrust law as a synchronous-machine "swing equation" mathematically identical to a driven pendulum: a stable well where the train locks to the wave, an unstable ridge where it can be thrown out of sync, and — matching real maglev guideways — a demonstration of why full-frequency cold starts hunt forever instead of self-capturing without a frequency ramp.