TY - JOUR
TI - A new RLC series-resonant circuit modeled by local fractional derivative
AU - Dong Mei
AU - Li Cui-Ling
AU - Chen Wu-Fa
AU - Li Guo-Qian
AU - Wang Kang-Jia
JN - Thermal Science
PY - 2021
VL - 25
IS - 6
SP - 4569
EP - 4576
PT - Article
AB - The local fractional derivative has gained more and more attention in the  field of fractal electrical circuits. In this paper, we propose a new  ζ-order RLC** resonant circuit described by the local fractional derivative  for the first time. By studying the non-differentiable lumped elements, the  non-differentiable equivalent imped­ance is obtained with the help of the  local fractional Laplace transform. Then the non-differentiable resonant  angular frequency is studied and the non-differentiable resonant  characteristic is analyzed with different input signals and parameters,  where it is observed that the ζ-order RLC resonant circuit becomes the  ordinary one for the special case when the fractional order ζ = 1. The  obtained results show that the local fractional derivative is a powerful  tool in the description of fractal circuit systems.