eduzhai > Applied Sciences > Engineering >

Lightning optimizes a threshold mechanism ensures minimum-path flow

  • king
  • (0) Download
  • 20210506
  • Save

... pages left unread,continue reading

Document pages: 28 pages

Abstract: A well-known property of linear resistive electrical networks is that thecurrent distribution minimizes the total dissipated energy. When the circuitincludes resistors with nonlinear monotonic characteristic, the currentdistribution minimizes in general a different functional. We show that, if thenonlinear characteristic is a threshold-like function and the energy generatoris concentrated in a single point, as in the case of lightning or dielectricdischarge, then the current flow is concentrated along a single path, which isa minimum path to the ground with respect to the threshold. We also propose adynamic model that explains and qualitatively reproduces the lightningtransient behaviour: initial generation of several plasma branches andsubsequent dismissal of all branches but the one reaching the ground first,which is the optimal one.

Please select stars to rate!


0 comments Sign in to leave a comment.

    Data loading, please wait...