3-Phase Symmetrical Components Vn -> Vx
The simulator below allows you to manually change the magnitude and phase of 3-phase symmetrical components and watch the results on the A, B, and C phasors. The magnitude and angles of the Symmetrical Components of this system can be toggled on the left side by clicking on the slider and dragging your mouse or using left/right keys.
V0 is the magnitude of the Zero sequence phasor and translates all the phase points in the same way. 0 is the angle of V0.
V1 is the magnitude of the positive sequence phasor. It represents the amount of positive (ABC) rotation in the system. 1 is the angle of V1.
V2 is the magnitude of the negative sequence phasor. It represents the amount of negative (ACB) rotation in the system. 2 is the angle of V2.
Select the "SCphasor" checkboxes to show how the symmetrical components add up vectorially to make Va, Vb, and Vc.
The white hollow point at the center of the ABC triangle is the triangle centroid. The V0 phasor is the line from the centroid to the ABC common point (neutral).
The Outer and Inner Napoleon Triangles are the geometric representation of the positive and negative sequence phasors, respectively. The distance from the triangle centroid to the vertices of the outer Napoleon triangle is the same as the positive sequence value. The same correspondence exists for the Inner Napoleon Triangle and negative Sequence.
The Steiner Ellipse touching Va, Vb, and Vc has semi-major axis = |V1| + |V2| and semi-minor axis = ||V1|-|V2||. From a geometric perspective, the Clarke transform phasors Vand V are conjugate radii of the Steiner Ellipse