Fractional-Order Hartley Oscillator

Agambayev, Agamyrat; Kartci, Aslihan; Hassan, Ali H.; Herencsár, Norbert; Bağcı, Hakan; Salama, Khaled N.

doi:10.1109/prime.2018.8430336

Cited by 12 publications

(10 citation statements)

References 21 publications

(21 reference statements)

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“…The fractional-order oscillator of orders 2.6 and 2.7 with one voltage output designed with operational amplifier AD797 is presented and verified by measurements in [10]. In paper [11], the fractional-order Hartley oscillator designed by operational amplifier AD817 is analysed and verified also by measurements. The proposal of the fractional-order oscillator with adjustable FO (Frequency of Oscilation) is presented and analysed in this paper.…”

Section: Introductionmentioning

confidence: 97%

“…The fractional-order systems can be used in many diverse scientific fields. For example in cryptography for generating random numbers [2], in biology for modelling of biological phenomena [3], in agriculture for analysis of the fruits or vegetable properties [4], in electrical engineering for design of the precise controllers [5], frequency filters [6] and oscillators [7]- [11].…”

Section: Introductionmentioning

confidence: 99%

“…The main disadvantage of the design of the circuit containing the FOEs is commercial unavailability of these passive elements. Only special prototypes are fabricated [11]. These prototypes were used in [10] and [11] to design the fractional-order oscillators.…”

Section: Introductionmentioning

confidence: 99%

“…Only special prototypes are fabricated [11]. These prototypes were used in [10] and [11] to design the fractional-order oscillators. The fractional-order oscillator of orders 2.6 and 2.7 with one voltage output designed with operational amplifier AD797 is presented and verified by measurements in [10].…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Adjustable Multiphase Sinusoidal Oscillator with Fractional–Order Elements

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Kubánek

Koton

et al. 2019

2019 11th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops (ICUMT)

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This paper presents a fractional-order multiphase oscillator with adjustable FO (Frequency of Oscillation). The oscillator utilizes the following components: CCTA (Current Conveyor Transconductance Amplifier), OTA (Operational Transconductance Amplifier), auxiliary OTRA (Operational Transresistance Amplifier), two FOC (Fractional-Order Capacitors) and auxiliary resistors. The proposed structure provides three voltage outputs and their inverted variants for three selected values of α = 0.3, 0.5, and 0.8 of FOC. The FO is tuned by changing the values of the transconductances of the OTA and CCTA. The features of the presented circuit were verified by PSpice simulations with behavioural models of the active elements. Analysis of the dependence of the values of the transconductances on values of α and frequency is provided. A THD (Total Harmonic Distortion) and parasitic analysis of the circuit was also made.

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Section: Introductionmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Adjustable Multiphase Sinusoidal Oscillator with Fractional–Order Elements

Dvořák

Kubánek

Koton

et al. 2019

2019 11th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops (ICUMT)

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“…Recently, tremendous efforts have been made to design fractional-order elements (FOEs). Indeed they offer additional degrees of freedom and versatility in electrical circuits [1]- [4], such as filters [5]- [7], oscillators [8]- [11], controllers [12]- [15], bioimpedance modeling [16], lithiumion battery modeling [17], transmission line design [18], reluctance inductive transducer realization [19], dc-dc boost converters [20] and references cited therein. The versatility of fractional-order circuits leads researchers to believe that the future of discrete element circuit design will undergo a…”

Section: Introductionmentioning

confidence: 99%

Synthesis and Optimization of Fractional-Order Elements Using a Genetic Algorithm

et al. 2019

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This study proposes a new approach for the optimization of phase and magnitude responses of fractional-order capacitive and inductive elements based on the mixed integer-order genetic algorithm (GA), over a bandwidth of four-decade, and operating up to 1 GHz with a low phase error of approximately ±1 • . It provides a phase optimization in the desired bandwidth with minimal branch number and avoids the use of negative component values, and any complex mathematical analysis. Standardized, IEC 60063 compliant commercially available passive component values are used; hence, no correction on passive elements is required. To the best knowledge of the authors, this approach is proposed for the first time in the literature. As validation, we present numerical simulations using MATLAB R and experimental measurement results, in particular, the Foster-II and Valsa structures with five branches for precise and/or high-frequency applications. Indeed, the results demonstrate excellent performance and significant improvements over the Oustaloup approximation, the Valsa recursive algorithm, and the continued fraction expansion and the adaptability of the GA-based design with five different types of distributed RC/RL network.

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