Realizacija frakcionalnog elementa pomoću pasivne RC mreže

undergraduate thesis

• Title (english): Realization of Fractional Component Using Passive-RC Network
• Author: Fran Kostelac
• Mentor: Dražen Jurišić (mentor)
• Committee member: Dražen Jurišić (predsjednik povjerenstva)
• Committee member: Zvonko Kostanjčar (član povjerenstva)
• Committee member: Tomislav Petković (član povjerenstva)
• Granter: University of Zagreb; Faculty of Electrical Engineering and Computing; Zagreb
• Defense date and country: 2018-07-13, Croatia
• Scientific / art field, discipline and subdiscipline: TECHNICAL SCIENCES; Electrical Engineering

Abstract

Povećanjem interesa za frakcionalni kalkulus povećao se interes za njegovu primjenu u elektrotehnici. Kako bi se realizirao frakcionalni integrator, frakcionalni oscilator i frakcionalni filtar dovoljno je da se ugradi jedan frakcionalni kapacitet. Danas se veliki trud ulaže u izradu elementa konstantne faze (CPE) kao samostalnog dvopola, ali zbog nedovoljno dobrih rezultata primorani smo koristiti simulacije CPE-a. Sinteza CPE-a se do sada većinom temeljila na pasivnim RC stablima. U radu su analizirane različite sinteze mreža po Fosteru i Caueru te je odabrana optimalna. Proveden je postupak ugađanja karakteristika CPE-a te simulacije disperzije vrijednosti komponenti. Na kraju rada pokazana je primjena u električnim krugovima.

Abstract (english)

Since the popularization of fractional calculus there has been more and more interest in implementing it in electrotechnics. In order to realize fractional integrator, fractional oscillator and fractional filter it is sufficient to replace only one ordinary capacitor with a fractional capacitor. These days, a lot of effort is put into the development of constant phase element (CPE) as standalone dipole. Unfortunately, it is not sufficient enough and therefore CPE simulation needs to take place. CPE synthesis was, until nowadays, mostly based on the passive RC networks. In this thesis, different CPE syntheses (Foster and Cauer topology) have been analyzed and the optimal one has been chosen. CPE characteristics have been optimized. Moreover, simulation of component value dispersion and its effect on the characteristics has been studied. Several practical examples with application in electrical circuits have been simulated and discussed.

• Keywords: Frakcionalni integrator; frakcionalni filtar; element s konstantnom fazom (CPE); sinteza CPE; raspršenost vrijednosti elemenata; podešavanje karakteristika
• Keywords (english): Fractional integrator; Fractional filter; Constant-Phase Element (CPE); Synthesis of CPE; Component values dispersion; Tuning of characteristics
• Language: croatian
• URN:NBN: urn:nbn:hr:168:488171
• Study programme: Title: Electrical Engineering and Information Technology; Study programme type: university; Study level: undergraduate; Academic / professional title: sveučilišni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka elektrotehnike i informacijske tehnologije (sveučilišni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka elektrotehnike i informacijske tehnologije)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Closed access
• Created on: 2019-03-13 21:44:50