polygonal configurations https://popups.uliege.be/3041-539x/index.php?id=3267 Index terms fr 0 Polygons and Polynomials as Synoptic Tools for System Guidance https://popups.uliege.be/3041-539x/index.php?id=3266 The purpose of this study is to construct a powerful topography for recording the evolution of any compound system composed of (n) subsystems. The essential idea is based on the fact that any regular (n) polygon (with n sides) acts as a vector operator which transforms the plane in a union of (n) concentric isosceles triangles wherein a complex phasor is inserted. Covariant and contravariant axes are introduced in each phasor to obtain equivalence with Bond-Graphs. In each triangle we can follow the behaviour of the correspondent subsystems by building their power balance. The circular polynomials : Pn(θ) = Πk [ak(θ – k2π/n)] play as an algebraic carrier for the transformation of the plane into a (n) star (with n branches). We represent any system working by a variable power triangle. The system coupling increases the stability, and accordingly we will choose the electrical machine as a particular anticipation modeling. Fri, 13 Sep 2024 13:42:53 +0200 Fri, 13 Sep 2024 13:43:00 +0200 https://popups.uliege.be/3041-539x/index.php?id=3266