Import-only predictions and local OPF endpoints with four substations (PV reactive power dispatched), in the three angle differences to the reference substation. Flat faces show the exact affine import-only prediction from equal-angle sensitivities, colored by the predicted limiting source. There is no radial display cap. The faces are not measured OPF surfaces. Cyclic predictions use daily imports; idle predictions intersect every period and can have extra facets. Dots: locally measured boundary points. Historical cases use T = 24 and 78 directions; new exploratory tabs explicitly identify their horizon and sparse axis sampling. Drag to rotate, scroll to zoom.
One face at a time: pick it here, or click a substation's name, Edge-on or Face-on on the right. The map stays in the face's own plane, so rotating the 3-D view does not change it. Face-on: the dots seen straight on, colored by how far beyond (red) or inside (blue) the predicted reach each lies; the outline is the predicted face with dispatched batteries, a triangle with corners where it meets two of the other faces. Edge-on: position along the face against how far beyond the prediction each dot lies, in degrees; the line at 0 is the predicted face, and dots take the colors of the 3-D view.