Order reduced Model of Electrical Systems Using Self-similarity

Anis Amrane (1) , Nicolas Rétière (1) , Delphine Riu (1)

1 G2ELab - Laboratoire de Génie Electrique de Grenoble

A new modeling approach for electrical networks is introduced in this paper based on fractal geometry and self-similarity. A particular parameter called fractal dimension is computed using a box counting method. The resulting model, based on a scaling power law, gives an accurate mathematical representation of the frequency behaviour of the network over a large range of frequencies while preserving the strong links between its physical structure and its dynamic performances.

Domaines: Energie électrique

Anis Amrane, Nicolas Rétière, Delphine Riu. Order reduced Model of Electrical Systems Using Self-similarity. Electrimacs 2011, Jun 2011, Cergy Pontoise, France. ⟨hal-00599638⟩