Analysis of a rectifier circuit realized with a fractional-order capacitor

An analysis of a traditional rectifier circuit when a fractional-order capacitor with order 0 <; α <; 1 replaces the integer-order smoothing capacitor (α = 1) is presented. Exploring the change in discharging behaviour that results from this replacement and the impacts on ripple voltage, nominal DC voltage, current, and power expressions used to describe the performance of this class of circuits. Further, the assumptions made for the analysis of the traditional circuit are explored from the fractional perspective to determine if they are still valid.