Effects of Undesired Asymmetries and Nonuniformities in Differential Lines

Grassi, Flavia; Manfredi, Paolo; Liu, Xiaokang; Sun, Jingkai; Wu, Xinglong; Ginste, Dries Vande; Pignari, Sergio A.

doi:10.1109/temc.2017.2686699

Cited by 20 publications

(22 citation statements)

References 18 publications

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“…To understand how the electromagnetic wave is coupled into the MTB‐TWP, we follow the modal decomposition as proposed in the previous study, where the CM mode component is split out from the DM components. Without losing generality, we take

scriptp = 3

, ie, eight wires as an example; the terminals are set to be unbalanced as shown in Figure , where

R_{\begin{matrix} e \\ f \end{matrix}} = R_{{normalD}_{3}} ((), 1 \pm δ_{3}) / 2

R_{\begin{matrix} c \\ d \end{matrix}} = R_{{normalD}_{2}} ((), 1 \pm δ_{2}) / 2

R_{\begin{matrix} a \\ b \end{matrix}} = R_{{normalD}_{1}} ((), 1 \pm δ_{1}) / 2

…”

Section: Modal Domain Decompositionmentioning

confidence: 99%

“…The CM and DM voltages and currents can be obtained by using the similarity transformations as shown in the previous studies, and

V_{M} = ([], \begin{matrix} V_{CM} \\ V_{normalD M_{3}} \\ V_{normalD M_{2, 1}} \\ V_{normalD M_{2, 2}} \\ V_{normalD M_{1, 1}} \\ V_{normalD M_{1, 2}} \\ V_{normalD M_{1, 3}} \\ V_{normalD M_{1, 4}} \end{matrix}) = T_{V}^{- 1} ([], \begin{matrix} V_{1, 1, 1_{1}} \\ V_{1, 1, 2_{1}} \\ V_{1, 2, 1_{1}} \\ V_{1, 2, 2_{1}} \\ V_{2, 1, 1_{1}} \\ V_{2, 1, 2_{1}} \\ {V_{2, 2, 1}}_{1} \\ {V_{2, 2, 2}}_{1} \end{matrix}), I_{M} = ([], \begin{matrix} I_{CM} \\ I_{normalD M_{3}} \\ I_{normalD M_{2, 1}} \\ I_{normalD M_{2, 2}} \\ I_{normalD M_{1, 1}} \\ I_{normalD M_{1, 2}} \\ I_{normalD M_{1, 3}} \end{matrix})

…”

Section: Modal Domain Decompositionmentioning

confidence: 99%

“…The averaged p.u.l. inductance matrix in the modal domain is defined as

{\overset{true¯}{bold-italicL}}_{{normalM}_{3}} = T_{V}^{- 1} {\overset{true¯}{bold-italicL}}_{3} T_{I}

where

{\overset{true¯}{bold-italicL}}_{{normalM}_{3}}

has the diagonal pattern as

{\overset{true¯}{bold-italicL}}_{{normalM}_{3}} = diag ((),,,,,,,, {\overset{l}{true}}_{CM}, {\overset{l}{true}}_{D {normalM}_{3}}, {\overset{l}{true}}_{D {normalM}_{2, 1}}, {\overset{l}{true}}_{D {normalM}_{2, 2}}, {\overset{l}{true}}_{D {normalM}_{1, 1}}, {\overset{l}{true}}_{D {normalM}_{1, 2}}, {\overset{l}{true}}_{D {normalM}_{1, 3}}, {\overset{l}{true}}_{D {normalM}_{1, 4}})

{\overset{true¯}{l}}_{CM} = \frac{\overset{l}{true} + {\overset{true¯}{l}}_{{normalM}_{1}} + 2 {\overset{true¯}{l}}_{{normalM}_{2}} + 4 {\overset{true¯}{l}}_{{normalM}_{3}}}{8} ≅ \frac{μ_{0}}{2 π} ln ((), \frac{2 h}{r_{w} {((), s_{1} s_{2}^{2} s_{3}^{4} / r_{w}^{7})}^{1 / 8}})

…”

Section: Modal Domain Decompositionmentioning

confidence: 99%

“…On the other hand, the field‐to‐wire coupling mechanisms were investigated by Grassi et al in the previous studies, respectively, where the common mode (CM) to differential mode (DM) conversion was examined in (non)uniform transmission lines for (un)balanced loadings. It was shown that the CM‐to‐DM conversion is minimum in the balanced transmission lines.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Modeling electromagnetic wave coupling and mode conversion effects in multitwisted bundle of twisted‐wire pairs (MTB‐TWP) above ground plane

Gassab

Zhou

Wang

et al. 2018

Int J Numerical Modelling

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A multiconductor transmission line (MTL) model is developed for predicting electromagnetic wave coupling effects with multitwisted bundle of twisted‐wire pairs (MTB‐TWP) running above a ground plane. Such MTB‐TWP is described as a sequential repeated structure, where all its parameters are formulated in terms of sequences. In particular, the parametric equations of all the wires are derived and described by a set of generalized equations, where the unit tangent vector for each wire is also determined analytically. In addition, the averaged per‐unit‐length (p.u.l.) parameters are described by recurrence formulas. Further, the equivalent voltages for describing the field‐to‐wire coupling of MTB‐TWP are obtained and determined analytically. The modal domain decomposition is performed with special loading terminals to split out the common mode (CM) and differential mode (DM) signals, where the CM‐to‐DM conversions are further investigated in order to indicate the balanced property in such MTB‐TWP system. On the other hand, the effect of dielectric coatings of all the wires is also characterized, where the averaged modal p.u.l. capacitance matrix is obtained numerically. A comparison is performed with the other wiring structures to visualize the benefits of our MTB‐TWP model. An extended MTL model is also validated in comparison with the commercial software FEKO.

show abstract

scriptp = 3

, ie, eight wires as an example; the terminals are set to be unbalanced as shown in Figure , where

R_{\begin{matrix} e \\ f \end{matrix}} = R_{{normalD}_{3}} ((), 1 \pm δ_{3}) / 2

R_{\begin{matrix} c \\ d \end{matrix}} = R_{{normalD}_{2}} ((), 1 \pm δ_{2}) / 2

R_{\begin{matrix} a \\ b \end{matrix}} = R_{{normalD}_{1}} ((), 1 \pm δ_{1}) / 2

…”

Section: Modal Domain Decompositionmentioning

confidence: 99%

“…The CM and DM voltages and currents can be obtained by using the similarity transformations as shown in the previous studies, and

V_{M} = ([], \begin{matrix} V_{CM} \\ V_{normalD M_{3}} \\ V_{normalD M_{2, 1}} \\ V_{normalD M_{2, 2}} \\ V_{normalD M_{1, 1}} \\ V_{normalD M_{1, 2}} \\ V_{normalD M_{1, 3}} \\ V_{normalD M_{1, 4}} \end{matrix}) = T_{V}^{- 1} ([], \begin{matrix} V_{1, 1, 1_{1}} \\ V_{1, 1, 2_{1}} \\ V_{1, 2, 1_{1}} \\ V_{1, 2, 2_{1}} \\ V_{2, 1, 1_{1}} \\ V_{2, 1, 2_{1}} \\ {V_{2, 2, 1}}_{1} \\ {V_{2, 2, 2}}_{1} \end{matrix}), I_{M} = ([], \begin{matrix} I_{CM} \\ I_{normalD M_{3}} \\ I_{normalD M_{2, 1}} \\ I_{normalD M_{2, 2}} \\ I_{normalD M_{1, 1}} \\ I_{normalD M_{1, 2}} \\ I_{normalD M_{1, 3}} \end{matrix})

…”

Section: Modal Domain Decompositionmentioning

confidence: 99%

“…The averaged p.u.l. inductance matrix in the modal domain is defined as

{\overset{true¯}{bold-italicL}}_{{normalM}_{3}} = T_{V}^{- 1} {\overset{true¯}{bold-italicL}}_{3} T_{I}

where

{\overset{true¯}{bold-italicL}}_{{normalM}_{3}}

has the diagonal pattern as

{\overset{true¯}{bold-italicL}}_{{normalM}_{3}} = diag ((),,,,,,,, {\overset{l}{true}}_{CM}, {\overset{l}{true}}_{D {normalM}_{3}}, {\overset{l}{true}}_{D {normalM}_{2, 1}}, {\overset{l}{true}}_{D {normalM}_{2, 2}}, {\overset{l}{true}}_{D {normalM}_{1, 1}}, {\overset{l}{true}}_{D {normalM}_{1, 2}}, {\overset{l}{true}}_{D {normalM}_{1, 3}}, {\overset{l}{true}}_{D {normalM}_{1, 4}})

{\overset{true¯}{l}}_{CM} = \frac{\overset{l}{true} + {\overset{true¯}{l}}_{{normalM}_{1}} + 2 {\overset{true¯}{l}}_{{normalM}_{2}} + 4 {\overset{true¯}{l}}_{{normalM}_{3}}}{8} ≅ \frac{μ_{0}}{2 π} ln ((), \frac{2 h}{r_{w} {((), s_{1} s_{2}^{2} s_{3}^{4} / r_{w}^{7})}^{1 / 8}})

…”

Section: Modal Domain Decompositionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Modeling electromagnetic wave coupling and mode conversion effects in multitwisted bundle of twisted‐wire pairs (MTB‐TWP) above ground plane

Gassab

Zhou

Wang

et al. 2018

Int J Numerical Modelling

View full text Add to dashboard Cite

show abstract

“…Источники электропитания подобных электротехнических устройств содержат, как правило, звенья повышенной частоты и функционируют в ключевых (импульсных) режимах, что приводит к росту электромагнитных помех (ЭМП) [11][12][13][14]. Нелинейные и периодические (импульсные) нагрузки, неси-нусоидальность (пульсация) ЭДС и нелинейность внутренних параметров источника и входных цепей потреби-телей искажают форму входного напряжения, приводят к увеличению тепловых потерь от токов высших гар-моник, старению изоляции, увеличению массы фильтров блоков питания нагрузок, к возможности возникнове-ния резонанса на высших гармониках [15][16][17][18][19][20].…”

Section: Introductionunclassified