Optimal Position of Fractional Order Inductor in Fractional Order Hartley Oscillator

This paper presents the optimal position of the fractional order (FO) inductor for the design of fractional order Hartley oscillator using non-ideal op-amp. The design incorporates three non-idealities of the practical op-amp, which are i) finite open-loop dc gain, ii) non-zero output resistance, and iii) finite unity gain frequency. The effects of op-amp nonidealities on oscillation frequency and critical resistance ratio are presented. Four different configurations are presented to find out the optimal position of the FO inductor. The different case studies are presented to investigate the optimal design of FO Hartley oscillator to achieve the highest oscillation frequency.