Equivalent complex impedance of n-order RLC network

Abstract Complex n -order complex impedance network is a kind of common complex problems. The electrical characteristics of its equivalent complex impedance are usually complex. We consider a kind of complex impedance network model of two terminal ladder network with complex parameters, and investig...

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Published inPhysica scripta Vol. 96; no. 7; pp. 75202 - 75216
Main Authors Chen, Hai-Xiang, Wang, Ming-Yue, Chen, Wan-Jiao, Fang, Xin-Yu, Tan, Zhi-Zhong
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.07.2021
Subjects
equivalent complex impedance
nonlinear difference equation
RLC network
transmission line
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Abstract Abstract Complex n -order complex impedance network is a kind of common complex problems. The electrical characteristics of its equivalent complex impedance are usually complex. We consider a kind of complex impedance network model of two terminal ladder network with complex parameters, and investigate the characteristics of equivalent complex impedance by deriving the analytical formula of equivalent complex impedance. The main research methods are as follows: firstly, the equivalent model is constructed. Secondly, the nonlinear difference equation model is established according to the equivalent model, and then the universal law of the equivalent complex impedance of n -ladder network is given by studying the solution of the nonlinear difference equation. Finally, the specific cases of LC network and non-ideal transmission line are studied respectively, and compared with the relevant results.
AbstractList Abstract Complex n -order complex impedance network is a kind of common complex problems. The electrical characteristics of its equivalent complex impedance are usually complex. We consider a kind of complex impedance network model of two terminal ladder network with complex parameters, and investigate the characteristics of equivalent complex impedance by deriving the analytical formula of equivalent complex impedance. The main research methods are as follows: firstly, the equivalent model is constructed. Secondly, the nonlinear difference equation model is established according to the equivalent model, and then the universal law of the equivalent complex impedance of n -ladder network is given by studying the solution of the nonlinear difference equation. Finally, the specific cases of LC network and non-ideal transmission line are studied respectively, and compared with the relevant results.
Author Wang, Ming-Yue
Chen, Wan-Jiao
Fang, Xin-Yu
Chen, Hai-Xiang
Tan, Zhi-Zhong
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Cites_doi 10.1088/0253-6102/69/5/610
10.1103/PhysRevE.91.052122
10.1088/1674-1056/25/5/050504
10.1002/cta.2035
10.1088/0305-4470/37/26/004
10.1088/1402-4896/ab9969
10.1038/s41598-018-27402-4
10.1016/j.rinp.2019.01.070
10.1038/s41598-018-24164-x
10.1088/0253-6102/71/8/935
10.1103/PhysRevE.97.043307
10.1119/1.1285881
10.1002/adts.202000255
10.1140/epjp/i2016-16309-x
10.1088/0305-4470/39/27/002
10.1016/j.aop.2012.09.002
10.1016/j.rinp.2019.102488
10.1007/s10955-014-0916-z
10.1007/s12648-019-01508-5
10.1140/epjp/i2013-13002-8
10.1088/1674-1056/24/2/020503
10.1002/cta.2366
10.1088/1674-1056/26/9/090503
10.1088/1674-1056/ab96a7
10.1088/0256-307X/35/2/020502
10.1088/1572-9494/ab7702
10.1140/epjb/e2006-00311-x
10.1051/epjap:2008015
10.1038/srep11266
10.1007/s10955-013-0716-x
10.1088/1402-4896/ab033c
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References Chen (psabf67dbib30) 2020; 95
Chair (psabf67dbib2) 2014; 154
Asad (psabf67dbib6) 2013; 128
Tan (psabf67dbib27) 2017; 45
Owaidat (psabf67dbib8) 2019; 12
Wu (psabf67dbib13) 2004; 37
Tan (psabf67dbib26) 2016; 25
Tan (psabf67dbib20) 2018; 69
Tzeng (psabf67dbib25) 2006; 39
Tan (psabf67dbib15) 2015; 24
Melnikov (psabf67dbib3) 2018; 97
Tan (psabf67dbib23) 2020; 72
Tan (psabf67dbib24) 2015; 43
Tan (psabf67dbib22) 2020; 29
Chen (psabf67dbib32) 2019; 15
Tan (psabf67dbib17) 2015; 5
Tan (psabf67dbib19) 2018; 8
Asad (psabf67dbib11) 2006; 52
Tan (psabf67dbib28) 2019; 94
Chair (psabf67dbib1) 2012; 327
Owaidat (psabf67dbib7) 2018; 35
Tan (psabf67dbib16) 2015; 91
Asad (psabf67dbib5) 2013; 150
Chen (psabf67dbib31) 2020; 94
Cserti (psabf67dbib4) 2000; 68
Zhi-Zhong (psabf67dbib14) 2011
Yi-Tian (psabf67dbib29) 2021; 4
Owaidat (psabf67dbib9) 2019; 71
Tan (psabf67dbib21) 2018; 8
Hijjawi (psabf67dbib12) 2008; 41
Tan (psabf67dbib18) 2017; 26
Owaidat (psabf67dbib10) 2016; 131
References_xml – volume: 69
  start-page: 610
  year: 2018
  ident: psabf67dbib20
  article-title: Electrical properties of an m × n Hammock network
  publication-title: Commun. Theor. Phys.
  doi: 10.1088/0253-6102/69/5/610
  contributor:
    fullname: Tan
– volume: 91
  start-page: 052122
  year: 2015
  ident: psabf67dbib16
  article-title: Recursion–transform method for computing resistance of the complex resistor network with three arbitrary boundaries
  publication-title: Phys. Rev. E
  doi: 10.1103/PhysRevE.91.052122
  contributor:
    fullname: Tan
– volume: 25
  start-page: 050504
  year: 2016
  ident: psabf67dbib26
  article-title: Two-point resistance of an m × n resistor network with an arbitrary boundary and its application in RLC network.
  publication-title: Chin. Phys. B
  doi: 10.1088/1674-1056/25/5/050504
  contributor:
    fullname: Tan
– volume: 43
  start-page: 1687
  year: 2015
  ident: psabf67dbib24
  article-title: Theory on resistance of m × n cobweb ntwork and its application
  publication-title: Int. J. Circ. Theor. Appl.
  doi: 10.1002/cta.2035
  contributor:
    fullname: Tan
– volume: 37
  start-page: 6653
  year: 2004
  ident: psabf67dbib13
  article-title: Theory of resistor networks: the two-point resistance
  publication-title: J. Phys. A: Math. Gen.
  doi: 10.1088/0305-4470/37/26/004
  contributor:
    fullname: Wu
– volume: 95
  start-page: 085204
  year: 2020
  ident: psabf67dbib30
  article-title: Electrical properties of an n-order network with Y circuits
  publication-title: Phys. Scr.
  doi: 10.1088/1402-4896/ab9969
  contributor:
    fullname: Chen
– volume: 8
  start-page: 9937
  year: 2018
  ident: psabf67dbib21
  article-title: Potential formula of an m × n globe network and its application
  publication-title: Sci. Rep.
  doi: 10.1038/s41598-018-27402-4
  contributor:
    fullname: Tan
– year: 2011
  ident: psabf67dbib14
  contributor:
    fullname: Zhi-Zhong
– volume: 12
  start-page: 1621
  year: 2019
  ident: psabf67dbib8
  article-title: Resistance computation of generalized decorated square and simple cubic network lattices
  publication-title: Results in Physics
  doi: 10.1016/j.rinp.2019.01.070
  contributor:
    fullname: Owaidat
– volume: 8
  start-page: 5798
  year: 2018
  ident: psabf67dbib19
  article-title: Potential formula of the nonregular m × n fan network and its application.
  publication-title: Sci. Rep.
  doi: 10.1038/s41598-018-24164-x
  contributor:
    fullname: Tan
– volume: 71
  start-page: 935
  year: 2019
  ident: psabf67dbib9
  article-title: Resistance calculation of pentagonal lattice structure of resistors
  publication-title: Commun. Theor. Phys.
  doi: 10.1088/0253-6102/71/8/935
  contributor:
    fullname: Owaidat
– volume: 97
  start-page: 043307
  year: 2018
  ident: psabf67dbib3
  article-title: Modeling the electrical properties of three dimensional printed meshes with the theory of resistor lattices
  publication-title: Phys. Rev. E
  doi: 10.1103/PhysRevE.97.043307
  contributor:
    fullname: Melnikov
– volume: 68
  start-page: 896
  year: 2000
  ident: psabf67dbib4
  article-title: Application of the lattice Green’s function for calculating the resistance of an infinite network of resistors
  publication-title: Am. J. Phys.
  doi: 10.1119/1.1285881
  contributor:
    fullname: Cserti
– volume: 4
  start-page: 2000255
  year: 2021
  ident: psabf67dbib29
  article-title: Resistance theory of general 2 × n resistor
  publication-title: Networks, Advanced Theory and Simulations
  doi: 10.1002/adts.202000255
  contributor:
    fullname: Yi-Tian
– volume: 131
  start-page: 309
  year: 2016
  ident: psabf67dbib10
  article-title: Resistance calculation of three-dimensional triangular and hexagonal prism lattices
  publication-title: Eur. Phys. J. Plus.
  doi: 10.1140/epjp/i2016-16309-x
  contributor:
    fullname: Owaidat
– volume: 39
  start-page: 8579
  year: 2006
  ident: psabf67dbib25
  article-title: Theory of impedance networks: the two-point impedance and LC resonances
  publication-title: J. Phys. A: Math. Gen.
  doi: 10.1088/0305-4470/39/27/002
  contributor:
    fullname: Tzeng
– volume: 327
  start-page: 3116
  year: 2012
  ident: psabf67dbib1
  article-title: Exact two-point resistance, and the simple random walk on the complete graph minus N edges
  publication-title: Ann. Phys.
  doi: 10.1016/j.aop.2012.09.002
  contributor:
    fullname: Chair
– volume: 15
  start-page: 102488
  year: 2019
  ident: psabf67dbib32
  article-title: Electrical characteristics of n-ladder network with internal load
  publication-title: Results in Physics
  doi: 10.1016/j.rinp.2019.102488
  contributor:
    fullname: Chen
– volume: 154
  start-page: 1177
  year: 2014
  ident: psabf67dbib2
  article-title: The effective resistance of the N-cycle graph with four nearest neighbors
  publication-title: J. Stat. Phys.
  doi: 10.1007/s10955-014-0916-z
  contributor:
    fullname: Chair
– volume: 94
  start-page: 801
  year: 2020
  ident: psabf67dbib31
  article-title: Electrical characteristics of n-ladder network with external load
  publication-title: Indian J. Phys.
  doi: 10.1007/s12648-019-01508-5
  contributor:
    fullname: Chen
– volume: 128
  start-page: 1
  year: 2013
  ident: psabf67dbib6
  article-title: Infinite face-centered-cubic network of identical resistors: application to lattice Green’s function
  publication-title: European Physical Journal Plus
  doi: 10.1140/epjp/i2013-13002-8
  contributor:
    fullname: Asad
– volume: 24
  start-page: 020503
  year: 2015
  ident: psabf67dbib15
  article-title: Recursion-transform approach to compute the resistance of a resistor network with an arbitrary boundary
  publication-title: Chin. Phys. B
  doi: 10.1088/1674-1056/24/2/020503
  contributor:
    fullname: Tan
– volume: 45
  start-page: 1942
  year: 2017
  ident: psabf67dbib27
  article-title: Resistance formulae of a multipurpose n-step network and its application in LC network
  publication-title: Int. J. Circ. Theor. Appl.
  doi: 10.1002/cta.2366
  contributor:
    fullname: Tan
– volume: 26
  start-page: 090503
  year: 2017
  ident: psabf67dbib18
  article-title: Recursion-transform method and potential formulae of the m × n cobweb and fan networks
  publication-title: Chin. Phys. B
  doi: 10.1088/1674-1056/26/9/090503
  contributor:
    fullname: Tan
– volume: 29
  start-page: 080503
  year: 2020
  ident: psabf67dbib22
  article-title: Electrical properties of m × n cylindrical network
  publication-title: Chin. Phys. B
  doi: 10.1088/1674-1056/ab96a7
  contributor:
    fullname: Tan
– volume: 35
  start-page: 020502
  year: 2018
  ident: psabf67dbib7
  article-title: Two-point resistance on the centered-triangular lattice
  publication-title: Chin. Phys. Lett.
  doi: 10.1088/0256-307X/35/2/020502
  contributor:
    fullname: Owaidat
– volume: 72
  start-page: 055001
  year: 2020
  ident: psabf67dbib23
  article-title: The basic principle of m × n resistor networks
  publication-title: Commun. Theor. Phys.
  doi: 10.1088/1572-9494/ab7702
  contributor:
    fullname: Tan
– volume: 52
  start-page: 365
  year: 2006
  ident: psabf67dbib11
  article-title: On the resistance of an infinite square network of identical resistors - theoretical and experimental comparison
  publication-title: European Physical Journal B
  doi: 10.1140/epjb/e2006-00311-x
  contributor:
    fullname: Asad
– volume: 41
  start-page: 111
  year: 2008
  ident: psabf67dbib12
  article-title: Infinite simple 3D cubic lattice of identical resistors (two missing bonds)
  publication-title: EPJ Applied Physics
  doi: 10.1051/epjap:2008015
  contributor:
    fullname: Hijjawi
– volume: 5
  start-page: 11266
  year: 2015
  ident: psabf67dbib17
  article-title: Recursion–transform method to a non-regular m × n cobweb with an arbitrary longitude
  publication-title: Sci. Rep.
  doi: 10.1038/srep11266
  contributor:
    fullname: Tan
– volume: 150
  start-page: 1177
  year: 2013
  ident: psabf67dbib5
  article-title: Exact evaluation of the resistance in an infinite face-centered cubic network
  publication-title: J. Stat. Phys.
  doi: 10.1007/s10955-013-0716-x
  contributor:
    fullname: Asad
– volume: 94
  start-page: 055203
  year: 2019
  ident: psabf67dbib28
  article-title: Electrical characteristics of the 2 × n and □ × n circuit network
  publication-title: Phys. Scr.
  doi: 10.1088/1402-4896/ab033c
  contributor:
    fullname: Tan
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Snippet Abstract Complex n -order complex impedance network is a kind of common complex problems. The electrical characteristics of its equivalent complex impedance...
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SubjectTerms equivalent complex impedance
nonlinear difference equation
RLC network
transmission line
Title Equivalent complex impedance of n-order RLC network
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