Bibliographic Details
| Title: |
ON A FRACTAL RLC-PARALLEL RESONANT CIRCUIT MODELED WITHIN THE LOCAL FRACTIONAL DERIVATIVE. |
| Authors: |
Yu TIAN1, Wen-Bo GENG2, Shao-Hui WANG1, Kang-Jia WANG3 kangjiaw@hpu.edu.cn |
| Source: |
Thermal Science. 2024, Vol. 28 Issue 4B, p3505-3510. 6p. |
| Subjects: |
Lumped elements |
| Abstract: |
In recent years, the theory of local fractional calculus has been widely used in the description of the fractional circuits. This paper presents a fractal RLC-parallel resonant circuit (FRLC-PRC) using the local fractional derivative (LFD). The FRLC-PRC is modeled by studying the non-differentiable (ND) lumped elements, then the ND conductance is obtained with the help of the local fractional Laplace transform (LFLT) and the ND parallel-resonant angular frequency (ND PRAF) is analyzed. It is found that the FRLC-PRC becomes the ordinary one when the fractional order S = 1. The obtained results show that the LFD is a powerful tool in the description of fractal circuit systems. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
