AC Power Formula for Unsaturated TiO2 Memristors with Linear Dopant Drift, Small Signal AC Power Formula for All Memristors, and Some Applications for These Formulas

Year 2018, Volume: 1 Issue: 2, 51 - 58, 30.12.2018

Reşat Mutlu

Abstract

In 1971, Chua has claimed that there should have been one more fundamental circuit element called memristor. Memristor is nonlinear charge-dependent resistor. It dissipates power. No ideal memristor has been found yet. In 2008, a TiO₂ thin-film memristive system which behaves as a memristor for some part of its operation has been found by a HP research team. The new circuit component can allow new types of analog and digital applications which are not possible with other fundamental circuit elements. This has resulted an emerging interest in memristor and memristive systems. In this paper, the average power formula of Ti0₂ memristor with linear dopant speed under AC excitation is derived. It is shown that a similar formula is applicable to all ideal memristors excited with a small signal AC source. The formulas derived here or similar formulas can be used to size the programmable memristor and memory circuits having AC waveforms.

Keywords

Memristor, Memristor Power, Memory Power Usage, Steady-state analysis of memristor

Doymamış Lineer Sürüklenme Hızlı TiO2 Memristörler İçin AC Güç Formülü, Tüm Memristörler İçin Küçük Sinyal AC Güç Formülü, ve Bu Formüllerin Bazı Uygulamaları

Abstract

1971 yılında, Dr. Chua, memristör
adı verilen, bir tane daha temel devre elemanı olması gerektiğini iddia
etti.Memristör yüke bağımlı nonlinear bir dirençtir. Memristör güç tüketir.
Henüz ideal bir memristör bulunmamıştır. 2008’de, bir HP araştırma takımı
tarafından çalışma bölgesininin bir kısmında memristörmüş gibi davranan TiO₂
ince-film bir memristif system bulunmuştur. Bu yeni devre elemanı diğer temel
devre elemanları ile yapımı mümkün olmayan yeni tip analog ve sayısal
uygulamalara izin verebilir. Bu ihtimal memristör ve memristif sistemler üzerine
bir merak uyanmasını sağlamıştır. Bu makalede, AC gerilim altında, lineer
sürüklenme hızlı TiO₂ memristörün ortalama güç formülü
türetilmiştir. Benzeri formülün küçük sinyal AC kaynağından beslenen tüm ideal
memristörlere uygulanabilirliği gösterilmiştir. Burada türetilen formüller ya
da benzeri formüller AC gerilime sahip programlanabilir memristör ve hafıza
devrelerinin boyutlandırılmasında kullanılabilir.

Keywords

Memristör, Memristör gücü, Hafıza güç tüketimi, Memristörün kararlı hal analizi

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