Design and Hardware Realization of a Tunable Fractional-Order Series Resonator with High Quality Factor

This paper presents the design and realization of a tunable fractional-order series resonator. It is made of an acute-angled capacitive fractor and an obtuse-angled inductive fractor and has theoretically infinite quality factor. This work establishes a relation between resonating frequency and fractor’s coefficients, and that makes the tuning of such resonator feasible in practice. Similar work, by same authors, already exists for fractional-order parallel resonator. The present work along with the said parallel resonator completes the study on tunable fractional-order resonator. The fractional-order series resonator, proposed here, is realized in hardware, tuned at various frequencies, and shows very high quality fractor (about 350). The paper also goes through detailed sensitivity analysis of the proposed resonator as well as discusses the practical aspects of proposed tuning in detail.