Time and frequency responses of non-integer order RLC circuits

Köksal M. E.

AIMS MATHEMATICS, cilt.4, sa.1, ss.64-78, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 4 Sayı: 1
  • Basım Tarihi: 2019
  • Doi Numarası: 10.3934/math.2019.1.64
  • Dergi Adı: AIMS MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.64-78
  • Anahtar Kelimeler: fractional calculus, electrical filters, RLC circuits, frequency response, step response, Mittag-Leffler function, SYNCHRONIZATION
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

By introducing an auxiliary parameter, the dynamic of RLC electrical circuits of non-integer order is described by a fractional order differential equation. The order of derivative in the component models is assumed to be 0 < gamma <= 1. The time and frequency domain characteristics of the circuit is investigated, and it is shown that three different filter characteristics of low-pass, high-pass and band-pass filters are obtained. The filter parameters are determined analytically, and the results are verified numerically.