Fast Transients Analysis of Nonuniform Multiconductor Frequency-Dependent Transmission Lines

Chávez, Alejandro Ramos; Moreno, P.; Naredo, J.L.; Guardado, J.L.

doi:10.1109/tpwrd.2006.871011

Cited by 11 publications

(8 citation statements)

References 22 publications

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“…For solving the MTL equations, there are many methods available [34][35][36][37][38], both in the time-domain and in the frequency domain. Owing to the fact that for filters, the frequency response is of main interest, the authors use a frequency-domain quasi-TEM approach to model an MTL of a finite length.…”

Section: B Impedance Matrix or Admittance Matrixmentioning

confidence: 99%

Quasi-TEM approach of coupled-microstrip lines and its application to the analysis of microstrip filters

Xiao

Norgren

2011

Int J RF and Microwave Comp Aid Eng

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In this article, the quasi-TEM approach is successfully used to analyze coupled-microstrip lines of finite length, which are usually used for the coupling between the source/load and resonators in microstrip filters. First, an orthogonal expansion method is used to extract the per-length inductance and capacitance matrices. The authors then obtain the impedance matrix or admittance matrix, which relates the voltages and currents at both ends of coupled-microstrip lines. To verify our theory, an example is presented, i.e., a Y-shaped dual-mode bandpass microstrip filter, for which, the equivalent circuit model based on the quasi-TEM analysis of coupled-microstrip lines is accurately set up. The approach in this article is applicable to planar microstrip lines with arbitrary number of conductors, under the quasi-TEM assumption. V C 2011 Wiley Periodicals, Inc. Int J RF and Microwave CAE 22:131-139, 2012.

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Section: B Impedance Matrix or Admittance Matrixmentioning

confidence: 99%

Quasi-TEM approach of coupled-microstrip lines and its application to the analysis of microstrip filters

Xiao

Norgren

2011

Int J RF and Microwave Comp Aid Eng

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“…Since h(x,t) can be expressed in the Laplace domain as a rational function, expanded into partial fractions, the convolution can be performed using a recursive scheme at each distance point x [1].…”

Section: Multiconductor Transmission Line Equationsmentioning

confidence: 99%

“…Recently the Method of characteristics has been used in modeling Non-Uniform Multiconductor Transmission Lines with frequency dependent parameters [1]. Such model is based on a rigorous consideration of non-uniformities and requires computing spatial derivatives of the modal transformation matrices.…”

Section: Introductionmentioning

confidence: 99%

A Piece-wise Model for Nonuniform Multiconductor Transmission Lines

Moreno¹,

Chávez

Naredo³

2009

2009 International Microwave Workshop Series on Signal Integrity and High-Speed Interconnects

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In this work a simplified model for the simulation of electromagnetic transients on non-uniform multiconductor transmission lines is presented. The proposed model is based on the method of characteristics of partial differential equations theory. Rigorous modeling of Nonuniform Multiconductor Transmission Lines requires calculating the space derivatives of the modal transformation matrices. Since such derivatives are calculated numerically, the method can become prone to numerical oscillations. The new procedure presented here does not require the space derivatives, therefore is less prone to numerical oscillations and leads to computing time savings. Results obtained with the proposed model are compared with those from the Numerical Laplace Transform method.

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“…The Method of Characteristics allows transforming the time domain transmission line partial differential equations (PDEs) to ordinary differential equations (ODEs). It has been used in the analysis of single-phase transmission lines with nonlinear capacitance due to corona effect [14], uniform MTLs with external electromagnetic field excitation [15], and nonuniform MTLs [16]. The method is simple to apply when dealing with two-conductor uniform lines, but it is a bit more complicated if multiconductor lines are analyzed because in this case modal analysis is required.…”

Section: Introductionmentioning

confidence: 99%

“…The complexity increases if nonuniformities are considered because modal wave velocities become distance dependent; in a consequence the characteristics are curve lines. Moreover, modal transformation matrices are also distance dependent and therefore their derivatives with respect to distance are required [16].…”

Section: Introductionmentioning

confidence: 99%

Time Domain Electromagnetic Transient Analysis of Aerial Nonuniform Transmission Lines Excited by an Incident Electromagnetic Field

Sánchez-Alegría

Moreno

Loo‐Yau

et al. 2019

Mathematical Problems in Engineering

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In this paper a model for Nonuniform Transmission Lines for electromagnetic transient analysis that incorporates frequency dependency of electrical parameters, variation of line electrical parameters with respect to distance, and distributed excitations due to incident electromagnetic fields is presented. The model is developed using the Method of Characteristics in the actual physical domain instead of the Modal Domain; this simplifies the mathematical development and the final equations. Moreover, the equations of the resultant model are valid either for two-conductor lines or for multiconductor lines without any change; this can be an advantage when the computer programming language considers a scalar as a 1x1 matrix. The proposed numerical model is developed under the hypothesis that the dielectric surrounding the conductors is homogenous. It is shown that in this case the characteristic curves of a Nonuniform Transmission Line become straight lines. Finally, the model is validated by comparison with results obtained using the Numerical Laplace Transform method.

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Fast Transients Analysis of Nonuniform Multiconductor Frequency-Dependent Transmission Lines

Cited by 11 publications

References 22 publications

Quasi-TEM approach of coupled-microstrip lines and its application to the analysis of microstrip filters

Quasi-TEM approach of coupled-microstrip lines and its application to the analysis of microstrip filters

A Piece-wise Model for Nonuniform Multiconductor Transmission Lines

Time Domain Electromagnetic Transient Analysis of Aerial Nonuniform Transmission Lines Excited by an Incident Electromagnetic Field

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