UYUMLU KESİRLİ MERTEBEDEN TÜREVLE MODELLENEN KONDANSATÖRÜN SPICE MODELİ VE PARALEL R-L-C_∝ DEVRESİNİN SİMÜLASYONUNDA KULLANIMI

Year 2023, Volume: 24 Issue: 2, 49 - 56, 28.12.2023

Ertuğrul Karakulak , Reşat Mutlu

https://doi.org/10.59314/tujes.1396358

Abstract

Buçuklu türev ile elektrik devrelerinin ve devre elemanlarının modellenmesi 20. yüzyılda ortaya çıkmıştır ve devre elemanlarının modellenmesinde de kullanılmıştır. Son yıllarda Konformal Buçuklu Türev (KBT) popüler bir yöntem haline gelmiştir. Literatürdeki bazı çalışmalarda superkapasitörler başarılı şekilde modellenmiştir. Yine de KBT kondasatörleri barındıran devreler için analitik bir çözüm bulmak oldukça zordur. Devre simulatörleri analizi zor devrelerin analitik çözümlerini bulma konusunda başarılıdır. KBT kondansatörler henüz bir Spice modeline sahip değildir. Bu çalışmada KBT kondansatör Spice modeli LTspice programında oluşturuldu. Ayrıca model parallel R-L-C_∝ devresinin simulasyonu için kullanıldı. Simulasyon sonuçları verildi.

Keywords

Buçuklu türev, Konformal buçuklu türev, Devre modelleme, Spice model.

Spice Model of a Capacitor Modelled Using Conformal Fractional Order Derivative and its Usage in Simulation of a Parallel R-L-C_∝ Circuit

Abstract

Fractional-order (FO) components have emerged as a necessary method to model electrical and electronic circuits in the 20th century. In recent decades, the conformable fractional derivative has become a very popular mathematical tool. In the literature, it is used to model supercapacitors successfully. However, it is usually difficult to find analytical solutions for the circuits having a CFD capacitor. Circuit simulation programs make it easy to inspect the circuits hard to analyze. A CFD capacitor does not have a spice model yet. In this study, the Spice model of a CFD capacitor is constructed in the LTspice program. The model is also used to simulate an R-L-C_∝ parallel circuit with a CFD capacitor. Its simulation results are given.

Keywords

Fractional Order Derivatives, Conformal Fractional Derivative, Circuit Modeling, Spice Model

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