Modeling of Imbalance in Differential Lines Targeted to Spice Simulation

Grassi, Flavia; Wu, Xinglong; Yang, Yueting; Spadacini, Giordano; Pignari, and Sergio A.

doi:10.2528/pierb15012304

Cited by 10 publications

(11 citation statements)

References 17 publications

(35 reference statements)

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“…where Ψ(r) is given by (28). We added a 0.9 fitting factor to the approximated analytical solution in (28) since we observed a difference between our approximated solution and the numerical solution of the integral in (52).…”

Section: Appendix D Derivation Of the Etla Solution Of The Antenna Momentioning

confidence: 96%

“…This difference comes from the adopted approximation that the area covered by the integral in (52) is equal to the difference between the areas covered by integrals in (53) and (54). Substituting (28) into (47) and (48), we can obtain the inductance and capacitance p.u.l. in (29) and (30), respectively, and the characteristic impedance in (31).…”

Section: Appendix D Derivation Of the Etla Solution Of The Antenna Momentioning

confidence: 99%

“…The relationship between Z a t , Z d t and Z 1 , Z 2 , Z 3 is defined as in [27] and [28]. Z t is the difference between the values of the impedance seen by each TL to the ground.…”

Section: Appendix a Modeling The Antenna Mode Current Conversion To Dmentioning

confidence: 99%

“…The antenna mode current is converted to differential mode due to the asymmetry of the terminal loads as in [21], [27], [28]. As shown in Fig.…”

Section: Appendix a Modeling The Antenna Mode Current Conversion To Dmentioning

confidence: 99%

“…The antenna mode current can convert to differential mode by mode conversion mechanisms [21], [27] , [28]. The adopted mode conversion mechanism is discussed in Appendix A.…”

Section: Antenna Mode Interference To Differential Mode Signalmentioning

confidence: 99%

See 4 more Smart Citations

Modeling of VHF Current Conversion From Excited Antenna Mode to Differential Mode at Transmission Line Terminals

Heggo

Zhu

Huang

et al. 2016

IEEE Trans. Electromagn. Compat.

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The current induced by an incident electric field can convert from the antenna mode to differential mode at unbalanced terminals of transmission lines (TLs), causing severe interference to a number of applications such as broadband power line communication, especially in the very high frequency (VHF) band. The previous work on modeling the current conversion is not applicable to VHF. We present a new model of the VHF current conversion which includes a general formula for the antenna mode characteristic impedance and two solutions to the formulated problem: 1) a numerical solution referred to as the antenna theory numerical (ATN) approach, which gives the exact value of the characteristic impedance; 2) an analytical solution referred to as the enhanced TL approximation (ETLA) approach, which gives the mean of the characteristic impedance. This is the first reported work to obtain the antenna mode characteristic impedance by the antenna theory. Furthermore, the ETLA approach outperforms the previous frequency-independent solution and requires a reduced complexity over the ATN approach. Our model is general as it converges to the previous model at lower frequencies. Simulation results also show the relationship between the antenna mode characteristic impedance and the power of the interference caused by the current conversion.Index Terms-Antenna theory, electric field effects, electromagnetic interference (EMI), transmission line modeling, transmission line theory, VHF radio communication.

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Section: Appendix D Derivation Of the Etla Solution Of The Antenna Momentioning

confidence: 96%

Section: Appendix D Derivation Of the Etla Solution Of The Antenna Momentioning

confidence: 99%

“…The relationship between Z a t , Z d t and Z 1 , Z 2 , Z 3 is defined as in [27] and [28]. Z t is the difference between the values of the impedance seen by each TL to the ground.…”

Section: Appendix a Modeling The Antenna Mode Current Conversion To Dmentioning

confidence: 99%

“…The antenna mode current is converted to differential mode due to the asymmetry of the terminal loads as in [21], [27], [28]. As shown in Fig.…”

Section: Appendix a Modeling The Antenna Mode Current Conversion To Dmentioning

confidence: 99%

“…The antenna mode current can convert to differential mode by mode conversion mechanisms [21], [27] , [28]. The adopted mode conversion mechanism is discussed in Appendix A.…”

Section: Antenna Mode Interference To Differential Mode Signalmentioning

confidence: 99%

See 3 more Smart Citations

Modeling of VHF Current Conversion From Excited Antenna Mode to Differential Mode at Transmission Line Terminals

Heggo

Zhu

Huang

et al. 2016

IEEE Trans. Electromagn. Compat.

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Deterministic and Statistical EMC Models for Field‐to‐Wire Coupling and Crosstalk in Wire Harness

Pignari¹

2018

Handbook of Aerospace Electromagnetic Compatibility

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Review of Mode Conversion and Modal Analysis in Electromagnetic Compatibility

Illiano,

Wu,

Grassi

et al. 2024

IEEE Access

Self Cite

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Undesired conversion between common-mode (CM) and differential-mode (DM) noise often occurs in modern electronic and electrical systems, posing challenges in terms of Electromagnetic Compatibility (EMC). Modal analysis represents a crucial tool in EMC investigation and provides insight into the mechanism underlying mode conversion. By inspecting CM and DM behaviors and their interconversion, it allows for understanding of conducted emission propagation mechanisms, drives electromagnetic interference (EMI) filter design towards optimal/tailored solutions, and enables the possibility to identify the main contributors to the radiated emission phenomenon. This paper offers a comprehensive review of mathematical methodologies and modelling strategies for EMC-oriented modal analysis, with particular emphasis on mode conversion phenomena. To this end, modal decomposition techniques and standard parameters for quantifying mode conversion are summarized and compared. Additionally, the paper provides an overview and in-depth discussion of different scenarios and test cases in which mode conversion occurs, with the final goal to achieve a systematic comprehension of its root causes and consequences within power and communication systems. Eventually, a survey of circuit modelling approaches for mode conversion is presented, offering insights into addressing this phenomenon effectively.

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Modeling of Imbalance in Differential Lines Targeted to Spice Simulation

Cited by 10 publications

References 17 publications

Modeling of VHF Current Conversion From Excited Antenna Mode to Differential Mode at Transmission Line Terminals

Modeling of VHF Current Conversion From Excited Antenna Mode to Differential Mode at Transmission Line Terminals

Deterministic and Statistical EMC Models for Field‐to‐Wire Coupling and Crosstalk in Wire Harness

Review of Mode Conversion and Modal Analysis in Electromagnetic Compatibility

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