Executive Summary : | Natural phenomenon can be better described with fractional calculus and can be controlled more precisely using fractional order system. From the literature, it is apparent that fractional order system is an interested topic of research and the publication in the domain has exponentially increased in the last decade. The heart of practical fractional order system is the circuit element called fractional inductor or fractional capacitor; which is represented by the formula: Z=Qs^alpha; where Q and are the parameters of the impedance, and ‘s' is the Laplace operator. Though lots of work has been done in theoretical domain, but it is still not practiced in science and Engineering mainly due to the fact that no commercial fractional order capacitor or inductor are available. As a result the advantages of fractional order system could not be demonstrated to the industry which further pushed back the need to develop this new type of circuit element or s called fractional capacitor or fractional inductor. Once the circuit element is available for commercial use it will open doors for validating the theoretical concept and will encompass different research areas by describing and controlling the natural phenomenon more accurately. It finds application in bioengineering, viscoelasticity, electronics, power engineering, robotics, control theory, describing human behavior, signal processing, heat conduction, etc. This motivates us to fabricate the fractional capacitor and inductor with predefined specifications. The aim of the project is: 1. To identify the suitable polymeric material (Polyimide, PVDF etc.) and polymer based composites (Polymer-CNT or Graphene etc.) and the fabrication parameters so that the fractional capacitor and inductor exhibit a predefined specification. 2. After fabrication, testing to prepare the specification data sheet for this new circuit element so that it becomes commercially viable product. 3. Finally to demonstrate its utility as an energy saving device to the industry. |