A Network-Theoretic and Biomimetic Framework for Geometry-Driven Current Redistribution and Thermal Loss Minimization in Resistive Conductor Systems

Electrical performance and thermal reliability in conductor systems are strongly influenced by the spatial distribution of current density and resistive losses. Conventional electrical design primarily treats conductor geometry as a mechanical or layout constraint rather than an active parameter influencing current redistribution. This study develops a network-theoretic and biomimetic analytical framework to evaluate how conductor topology affects current distribution, effective resistance, and Joule heating. The proposed framework models closed-loop (“garland”) and hierarchical branched (“leaf-inspired”) conductor geometries as resistive networks represented by weighted graphs. Using Kirchhoff’s laws,…