Memkapasitör ve Konformal Fraksiyonel Dereceli Kondansatörün Bir Araya Getirildiği İki Kapasitör Problemi

Year 2022, , 9 - 15, 31.07.2022

Utku Palaz , Reşat Mutlu

https://doi.org/10.55581/ejeas.1115102

Cited By: 1

Abstract

Kesirli mertebeli kondansatörler ve memkapasitörler son yıllarda önemli bir araştırma alanı haline geldi. Her iki devre elemanının analog uygulamaları giderek yaygınlaşmaktadır. Literatürde, uyumlu kesirli türev (UKT), kullanımı ve anlaşılması kolay olması nedeniyle çok ilgi görmektedir. Bazı süperkondansatörler zaten uyumlu kesirli türev ile modellenmiştir. İki kondansatör problemi fizikte önemli bir problemdir. Son zamanlarda, bir UKT kondansatörü ve bir lineer zamanla değişmeyen (LZD) kondansatörü ile bir iki kondansatör problemi incelenmiştir. Bildiğimiz kadarıyla, literatürde henüz bir UKT kondansatör ve bir memkapasitörden oluşan bir devre incelenmemiştir. Bu çalışmada, literatürde ilk kez simülasyonlar kullanılarak bir UKT kondansatörü ve bir memkapasitörden oluşan bir devre, bir - iki kondansatörlü bir problem incelenmiştir. Devrenin sürekli geçici rejimde olduğu görülmüştür.

Keywords

Memkapasitör, Kesir Dereceli Kondansatör, İki Kondansatör Problemi, Devre Analizi, Devre Teorisi.

A Two-capacitor Problem with a Memcapacitor and a Conformal Fractional-Order Capacitor Put Together

Abstract

Fractional-order capacitors and memcapacitors have become a major research area in recent decades. Analog applications of both circuit elements are getting more common. In literature, the conformal fractional derivative (CFD) is getting lots of interest due to its easiness to use and to comprehend. Some supercapacitors have already been modeled with the conformal fractional derivative. Two-capacitor problem is an important problem in physics. Recently, a two-capacitor problem with a CFD capacitor and a linear time-invariant (LTI) capacitor has been examined. To the best of our knowledge, a circuit, which is made of a CFD capacitor and a memcapacitor, has not been analyzed in the literature yet. In this study, a two-capacitor problem, a circuit, which consists of a CFD capacitor and a memcapacitor, has been examined using simulations for the first time in literature. It is found that the circuit is in ever transient state.

Keywords

Memcapacitor, Fractional Order Capacitor, Two-capacitor Problem, Circuit Analysis, Circuit Theory

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