Analysis of the HP Memristor and Capacitor (M-C) Series Circuit Using the Lambert W Function

Abstract

Memristor is a new nonlinear circuit element. The HP memristor model is the first and the easiest model to understand memristor given in the literature. Examination of the usage of Memristor with other circuit elements is important for circuit analysis. There are publications in the literature that examine the use of memristor with various circuit elements and examine its usage areas. The circuits in which a capacitor and memristor are connected in series with and without a DC source have been studied in the literature. Lambert W function is a function encountered in system modeling in physics and engineering. In this study, it has been shown that the solution of the capacitor and memristor circuits connected in series with and without a DC source can be expressed using the Lambert W function.

Keywords

• Memristor
• memristor-capacitor circuit
• circuit analysis
• Lambert W function

HP Memristör ve Kondansatör (M-C) Seri Devresinin Lambert W Fonksiyonu Kullanarak Analizi

Abstract

Memristör yeni ve doğrusal olmayan devre elemanıdır. HP memristör model literatürde verilen ilk ve anlaması en kolay memristör modelidir. Memristörün diğer devre elemanları ile birlikte kullanımın incelenmesi Devre analizi açısından önemlidir. Literatürde memristörün türlü devre elemanları ile kullanımının incelendiği ve kullanım alanlarının incelendiği yayınlar mevcuttur. Bir kondansatör ile memristörün seri bağlı olduğu DC kaynaklı ve kaynaksız devreler literatürde incelenmiştir. Lambert W fonksiyonu fizikte ve mühendilikte system modellemede karşımıza çıkan bir fonksiyondur. Bu çalışmada bir kondansatör ile memristörün seri bağlı olduğu DC kaynaklı ve kaynaksız devrelerin çözümünün Lambert W fonksiyonu kullanarak ifade edilebileceği gösterilmiştir.

Keywords

• Memristör
• memristör-kondansatör devresi
• devre analizi
• Lambert W fonksiyonu

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