Topic/Type: 1.6 Plasma-based devices, Oral

Fractional order models of energizing processes generated by the plasma core

M. Trzaska, Z. Trzaska

Warsaw University of Technology, Poland

This paper focuses on modeling and numerical simulations of influences of energizing processes generated by the plasma core on the series resistance and shunt capacitance of an inductor wound over a fluorescent lamp. From the experimental results, are found fractional changes in the resonant characteristics of the inductor when lamp was excited by both the direct current as well alternating current. This forms a base to construct an equivalent circuit model containing fractional order elements. It permits to an indirect estimation of the plasma density profile and to model the beam loading effects in high-energy radio frequency sources. The equivalent fractional order circuit can be applied to explain the macroscopic effect of low-temperature plasma on circuit elements within close proximity. Numerical solutions of corresponding differential equations of fractional orders indicate on a significant change in the resonance characteristics of the coil due to the influence of the plasma core. The results are obtained described with the help of an equivalent circuit consisting of a fractional inductance with a series constant resistance and a parallel fractional capacitance