Network with Two Extra Interstitial Resistors

Owaidat, M. Q.; Hijjawi, R. S.; Khalifeh, J. M.

doi:10.1007/s10773-012-1196-5

Cited by 28 publications

(19 citation statements)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Therefore, circuit networks cannot merely be considered as a science, but also a technology, which shows their charm. [3][4][5][6][7][8][9][10][11] Over the past few decades, researchers have published some papers on the integer circuit networks with the method of the random walks, 12 the theory of harmonic functions, 13¯r st-passage processes 14 and the lattice Green's functions 15 and so on. However, the past e®orts have been focused mainly on analyzing the resistances 16,17 or capacitances 18,19 of the integer order single-component circuit networks.…”

mentioning

confidence: 99%

Fractional-Order 2 × n RLC Circuit Network

Zhou

Chen

2015

J CIRCUIT SYST COMP

View full text Add to dashboard Cite

This paper introduces new fundamentals of the 2 Â n RLC circuit network in the fractionalorder domain. First, we derive the three general formulae of the equivalent impedances of the circuit network by using the matrix transform methods and constructing the di®erential equation models in three di®erent cases. Moreover, we systematically study the e®ects of the system parameters on the impendence characteristics in the three di®erent cases. Speci¯cally, the new phenomena and laws are presented by the results of the numerical simulations, which are impossible in the conventional cases. Finally, a comparative sensitivity analysis about the three cases with respect to the fractional orders for the fractional-order circuit network is carried out in detail. Mathematical analyses and numerical simulations are included to validate the study. J CIRCUIT SYST COMP Downloaded from www.worldscientific.com by NANYANG TECHNOLOGICAL UNIVERSITY on 08/23/15. For personal use only.20th century. 1,2 As a typical example, Andre Geim and Konstantin Novoselov won the 2010 Nobel Prize in Physics for their investigations of the resistance networks of the graphene, which indicates the existence of the planar circuit networks in nature. Therefore, circuit networks cannot merely be considered as a science, but also a technology, which shows their charm. [3][4][5][6][7][8][9][10][11] Over the past few decades, researchers have published some papers on the integer circuit networks with the method of the random walks, 12 the theory of harmonic functions, 13¯r st-passage processes 14 and the lattice Green's functions 15 and so on. However, the past e®orts have been focused mainly on analyzing the resistances 16,17 or capacitances 18,19 of the integer order single-component circuit networks. Little attention has been paid to the impedance of the fractional-order multiple-component circuit networks.Fractional-order mathematical models developed for inductors and capacitors could describe the electrical characteristics more accurately, which allows for higher°e xibility, more freedom, best¯t and better optimization techniques. In other words, the actual inductors and capacitors are fractional-order in nature. 20-23 Especially, Westerlund has creatively created the fractional-order capacitors with di®erent electrolytes. 24,25 Moreover, Tenreiro and Galhano indicated that the fractional-order inductors could be designed based on skin e®ect. 26 If things happen, circuit designers will face the new challenges to the fundamentals and laws due to the fractional-order components.At present, some researchers have also been devoting to the design and realization of the fractional electronic components. 27-31 Furthermore, some researchers have been concentrating on the study of fractional-order circuit theory. 32-38 However, few researchers study the electrical characteristics of 2 Â n circuit networks in fractionalorder sense. Therefore, we focus on the impedance of the fractional-order 2 Â n RLC circuit network, which may lay the groundwork for the furthe...

show abstract

mentioning

confidence: 99%

Fractional-Order 2 × n RLC Circuit Network

Zhou

Chen

2015

J CIRCUIT SYST COMP

View full text Add to dashboard Cite

show abstract

“…Due to the use of electrical and non-electrical systems for modeling, in recent years circuit networks have become more attractive [1,2]. A study on the resistance network of the grapyhene showing the presence of a planar circuit network in nature received the Nobel Prize in Physics in 2010 [3][4][5]. In the last few decades, researchers have published publications on fixed-coefficient circuit networks.…”

Section: Introductionmentioning

confidence: 99%

Transfer Function Analysis of Fractional-Order Three-Dimensional Electrically Coupled Cell Network

Ün¹

2019

Adv. sci. technol. eng. syst. j.

View full text Add to dashboard Cite

In this paper, a novel method is proposed for the dynamic analysis of fractional-order three-dimensional electrically coupled cell network. In general, three-dimensional cell network is constructed by combining three one-dimensional circuit networks. Analysis method is based on the principles of the dynamic analysis with transfer function approximation. Although fractional-order three-dimensional circuit network model contains nonlinear fractal elements such as fractional-order capacitors and inductors, transfer function approximation is employed in dynamic analysis of the network by using the Laplace transform. First by using nodal analysis method, general expression in matrix forms for the transfer function and typical equivalent impedance of the fractional-order three-dimensional circuit network are derived in fractional domain. Transfer function and Equivalent network impedance of the cell network model are obtained in the form of matrix equation with the implicit analytical expression. Secondly the effects of five network parameters such as inductance L, capacitance C, number of cell unit n and fractional-orders (α, β) on the impedance and electrical network characteristics such as transfer function and output responses are investigated by means of MATLAB Simulation programs. Finally, the validity of the proposed method is done by using PSPICE simulations which show the experimental performance and PSPICE simulation results is presented.

show abstract

“…A study on resistance networks of graphine which indicates the existence of the planar circuit networks in nature won the 2010 Nobel Prize in Physics [3][4][5]. Over the past few decades, researchers have published some papers on the integer circuits networks.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Fractional-Order 2xn RLC Networks by Transmission Matrices

Ün¹,

Ün²

2017

Adv. sci. technol. eng. syst. j.

View full text Add to dashboard Cite

In this study, a new method is devised and presented for the dynamic analysis of a 2xn RLC circuit network modeled with the fractional-order circuit elements. The analysis method is based on the principles of dynamic analysis with transfer function approximation. Firstly, the fractional-order 2xn RLC circuit network of interest which is divided into n equal cells connected in cascaded form, then related transmission matrices are individually calculated for each cell correspondingly, Secondly. the transmission matrix of the whole circuit network is calculated based on the properties of the cascaded connection. By means of this transmission matrix and the two-part connection, diagram circuit functions, such as transfer function and the equivalent input impedance of the whole circuit network, are obtained depending on the number of cells (n) and the fractional-order values.Finally, essential dynamic system analysis, such as frequency, step and pulse responses, and the impedance characteristics of the network, are simulated using necessary MATLAB programs depending on cell number n and the fractional-order values.

show abstract

Network with Two Extra Interstitial Resistors

Cited by 28 publications

References 15 publications

Fractional-Order 2 × n RLC Circuit Network

Fractional-Order 2 × n RLC Circuit Network

Transfer Function Analysis of Fractional-Order Three-Dimensional Electrically Coupled Cell Network

Analysis of Fractional-Order 2xn RLC Networks by Transmission Matrices

Contact Info

Product

Resources

About