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FPGA realization of Caputo and Grünwald-Letnikov operators

This paper proposes a hardware platform implementation on FPGA for two fractional-order derivative operators. The Grünwald-Letnikov and Caputo definitions are realized for different fractional orders. The realization is based on non-uniform segmentation algorithm with a variable lookup table. A generic implementation for Grünwald-Letnikov is proposed and a 32 bit Fixed Point Booth multiplier radix-4 is used for Caputo implementation. Carry look-ahead adder, multi-operand adder and booth multiplier are used to improve the performance and other techniques for area and delay minimization have

Circuit Theory and Applications

Fractional order four-phase oscillator based on double integrator topology

This paper presents a generalization of Soliman's four-phase oscillator into the fractional-order domain. The extra degrees of freedom provided by the fractional-order parameters α and β add more flexibility to the design of the circuit. The design procedure and equations of the proposed oscillator are presented and verified using Matlab and PSPICE. Also, the stability analysis for fractional order systems is studied for different cases of α and β. © 2017 IEEE.

Circuit Theory and Applications

Biological inspired optimization algorithms for cole-impedance parameters identification

This paper introduces new meta-heuristic optimization algorithms for extracting the parameters of the Cole-impedance model. It is one of the most important models providing best fitting with the measured data. The proposed algorithms inspired by nature are known as Flower Pollination Algorithm (FPA) and Moth-Flame Optimizer (MFO). The algorithms are tested over sets of both simulated and experimental data. The results are compared with other fitting algorithms such as the Non-linear least square (NLS) and Bacterial Foraging Optimization (BFO). The comparison showed a better fit in the sum of

Circuit Theory and Applications

Aggrandize efficiency of ultra-thin silicon solar cell via topical clustering of silver nanoparticles

A highly efficient photovoltaic nanocomposite device is demonstrated by fabrication of structural clusters of silver nanoparticles (Ag NPs) on silicon solar cells via a boil deposition method. The efficiency of silicon solar cell was augmented by coating Ag NPs ultra-thin-film deposition on silicon solar cell. Chemically synthesized silver NP's, their consumption on a silicon thin layer and the operation of photovoltaic nanocomposite device were characterized by using several electron probe microscopic pectroscopic and spectrometric techniques viz. x-ray diffraction (XRD), scanning electron

Energy and Water
Circuit Theory and Applications

Comparison between three approximation methods on oscillator circuits

The promising capabilities of fractional-order devices challenge researchers to find a way to build it physically. Approximating the Laplacian operator sα can pave the way to emulate the fractional-order devices till its off-the-shelf appearance. This paper introduces three approximations of the Laplacian operator sα: Oustaloup, Matsuda, and Valsa by comparing their behaviors through two types of oscillator circuits. The first two are well-established approximations and the latter is proposed for the first time by converting its model network to an integer polynomial approximation of the

Circuit Theory and Applications

Fractional-Order Relaxation Oscillators Based on Op-Amp and OTRA

This paper introduces closed formulas of two topologies of fractional-order relaxation oscillators. One of these topologies is based on Operational Amplifier (Op-Amp) and the other one depends on Operational Operational Trans-Resistance Amplifier (OTRA). Special cases for each topology are also provided. The advantage of these designs comes from the added extra degree of freedom presented by the fractional-order α. Matsuda's approximation of sα is used to implement fractional-order capacitors. Also, experimental work is included to verify the theoretical results. © 2018 IEEE.

Circuit Theory and Applications

Fractional-order Nonminimum-phase Filter Design

This paper introduces the design procedure of the fractional-order Soliman Nonminimum-phase filter. Theoretical analysis has been carried out providing the critical frequencies of the filter. The effect of fractional-order parameter \alpha on the filter response has been investigated. Additionally, two different approximation techniques (Oustaloup and Matsuda) have been employed to realize the filter. A comparison is held between the exact and approximated solutions. Theoretical analysis is verified through circuit simulations and experimental work. © 2019 IEEE.

Circuit Theory and Applications

Two-port two impedances fractional order oscillators

This paper presents a study for general fractional order oscillator based on two port network where two topologies of oscillator structure with two impedances are discussed. The two impedances are chosen to be fractional elements which give four combinations for each topology. The general oscillation frequency, condition and the phase difference between the two oscillatory outputs are deduced in terms of the transmission matrix parameter of a general two port network. As a case study: two different networks are presented which are op-amp based circuit and non-ideal gyrator circuit. The

Circuit Theory and Applications

Parameter identification of fractional-order chaotic systems using different Meta-heuristic Optimization Algorithms

Fractional-order chaotic systems (FOCS) parameter identification is an essential issue in chaos control and synchronization process. In this paper, different recent Meta-heuristic Optimization Algorithms are used to estimate the parameters and orders of three FOCS. The investigated systems are Arneodo, Borah rotational attractor and Chen double- and four-wing systems. The employed algorithms are the Salp Swarm Algorithm, Whale Optimization Algorithm, Moth-Flame Optimizer, Grey Wolf Optimizer and the Flower Pollination Algorithm (FPA). The proposed algorithms are applied on several objective

Circuit Theory and Applications

Energy Harvesting Schemes for Wearable Devices

For the specifications of Wireless Body Area Networks (WBANs), eHealth systems, and wearable devices, batteries are not desirable. They maximize the sensor nodes’ size and need to be replaced every few years through human interference. Energy harvesting is now being studied as the primary source of electricity for wearable devices. Several initiatives have succeeded in using energy harvesting to operate the wearable devices’ electronic components. However, to rely primarily on energy harvesting in wearable devices, some obstacles need to be addressed. This work surveys the development of

Circuit Theory and Applications