Realization of Fractional Order Inductive Transducer

In this paper, a new fractional order reluctance inductive transducer is realized by combining a basic reluctance inductive transducer with a general impedance converter circuit and a fractional order element. The fractional order element is realized using an
RC
ladder network attained by the integer-order rational approximation of the fractional term. A prototype of the fractional order reluctance inductive sensor was developed using the ferrite E-core-shaped variable reluctance inductive sensor and used for analyzing its characteristics. The impedance of the prototype device attained theoretically is validated with the experimental results. Hay’s bridge-based conditioning circuit is used with the fractional order inductive transducer to get the voltage output for the given input displacement; the output measured depends on the order of the fractional element. A suitable fractional order for which the output is both higher and linear is identified and presented. Through simulation and the experimental results obtained from the prototype transducer, it is demonstrated that the fractional-order inductive transducer is more effective in reducing the nonlinearity inherent in the real system with a considerable improvement in the sensitivity.