RF CAD-Assisted Nonlinear Transmission Line Model of Distributed Passive Intermodulation

Alexey Shitvov, Dmitry Kozlov, Alexander Schuchinsky

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Abstract

Characterisation and modelling of distributed passive intermodulation generation in planar microwave components is hampered by a priori unknown physics and location of the sources of microstrip nonlinearities. It has been shown that using even the basic two-tone PIM3 measurements in different frequency bands and in the near-field PIM probing mode on simple microstrip layouts allows identification of the dominant type of the microstrip nonlinearity and PIM generation mechanisms. Using the transmission line formulation and simple static polynomial models of the p.u.l. parameters, the set of general closed-form equations for the forward and reverse PIM products of arbitrary order can be derived from the analysis of the waves propagating on a weakly nonlinear transmission line. It has been shown that an accurate distributed model of PIM generation can be constructed with the aid of Keysight’s X-parameter methodology by cascading equivalent-circuit unit cells representing short sections of the nonlinear TL of the electrical length much smaller than the characteristic wavelength. The CAD implementation of the TLDN model allows efficient characterisation of the nonlinear models based on different polynomial approximations of the distributed nonlinearities. It has been demonstrated that the proposed modulus polynomial model provides fairly accurate approximation with only a few terms, whereas the conventional analytical polynomial model requires much higher order of the describing polynomial. The results of the presented analysis can be used for the modelling of PIM generation by arbitrary modulated signals in complex planar microwave circuits and design of low-PIM microwave circuits.
Original languageEnglish
Title of host publicationProceedings of the 9th International Workshop on Multipactor, Corona and Passive Intermodulation 2017
Number of pages8
Publication statusPublished - 05 Apr 2017
Event9th International Workshop on Multipactor, Corona and Passive Intermodulation 2017 - ESA/ESTEC, Noordwijk, Netherlands
Duration: 05 Apr 201707 Apr 2017
http://esaconferencebureau.com/2017-events/mulcopim2017/home

Conference

Conference9th International Workshop on Multipactor, Corona and Passive Intermodulation 2017
Abbreviated titleMULCOPIM 2017
CountryNetherlands
CityNoordwijk
Period05/04/201707/04/2017
Internet address

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Intermodulation
Electric lines
Microwave circuits
Computer aided design
Polynomial approximation
Equivalent circuits
Frequency bands
Physics
Microwaves
Polynomials
Wavelength
Statistical Models

Keywords

  • Communication nonlinearities
  • passive intermodulation (PIM)
  • printed circuit boards

Cite this

Shitvov, A., Kozlov, D., & Schuchinsky, A. (2017). RF CAD-Assisted Nonlinear Transmission Line Model of Distributed Passive Intermodulation. In Proceedings of the 9th International Workshop on Multipactor, Corona and Passive Intermodulation 2017
Shitvov, Alexey ; Kozlov, Dmitry ; Schuchinsky, Alexander. / RF CAD-Assisted Nonlinear Transmission Line Model of Distributed Passive Intermodulation. Proceedings of the 9th International Workshop on Multipactor, Corona and Passive Intermodulation 2017. 2017.
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Shitvov, A, Kozlov, D & Schuchinsky, A 2017, RF CAD-Assisted Nonlinear Transmission Line Model of Distributed Passive Intermodulation. in Proceedings of the 9th International Workshop on Multipactor, Corona and Passive Intermodulation 2017. 9th International Workshop on Multipactor, Corona and Passive Intermodulation 2017, Noordwijk, Netherlands, 05/04/2017.

RF CAD-Assisted Nonlinear Transmission Line Model of Distributed Passive Intermodulation. / Shitvov, Alexey; Kozlov, Dmitry; Schuchinsky, Alexander.

Proceedings of the 9th International Workshop on Multipactor, Corona and Passive Intermodulation 2017. 2017.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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T1 - RF CAD-Assisted Nonlinear Transmission Line Model of Distributed Passive Intermodulation

AU - Shitvov, Alexey

AU - Kozlov, Dmitry

AU - Schuchinsky, Alexander

PY - 2017/4/5

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N2 - Characterisation and modelling of distributed passive intermodulation generation in planar microwave components is hampered by a priori unknown physics and location of the sources of microstrip nonlinearities. It has been shown that using even the basic two-tone PIM3 measurements in different frequency bands and in the near-field PIM probing mode on simple microstrip layouts allows identification of the dominant type of the microstrip nonlinearity and PIM generation mechanisms. Using the transmission line formulation and simple static polynomial models of the p.u.l. parameters, the set of general closed-form equations for the forward and reverse PIM products of arbitrary order can be derived from the analysis of the waves propagating on a weakly nonlinear transmission line. It has been shown that an accurate distributed model of PIM generation can be constructed with the aid of Keysight’s X-parameter methodology by cascading equivalent-circuit unit cells representing short sections of the nonlinear TL of the electrical length much smaller than the characteristic wavelength. The CAD implementation of the TLDN model allows efficient characterisation of the nonlinear models based on different polynomial approximations of the distributed nonlinearities. It has been demonstrated that the proposed modulus polynomial model provides fairly accurate approximation with only a few terms, whereas the conventional analytical polynomial model requires much higher order of the describing polynomial. The results of the presented analysis can be used for the modelling of PIM generation by arbitrary modulated signals in complex planar microwave circuits and design of low-PIM microwave circuits.

AB - Characterisation and modelling of distributed passive intermodulation generation in planar microwave components is hampered by a priori unknown physics and location of the sources of microstrip nonlinearities. It has been shown that using even the basic two-tone PIM3 measurements in different frequency bands and in the near-field PIM probing mode on simple microstrip layouts allows identification of the dominant type of the microstrip nonlinearity and PIM generation mechanisms. Using the transmission line formulation and simple static polynomial models of the p.u.l. parameters, the set of general closed-form equations for the forward and reverse PIM products of arbitrary order can be derived from the analysis of the waves propagating on a weakly nonlinear transmission line. It has been shown that an accurate distributed model of PIM generation can be constructed with the aid of Keysight’s X-parameter methodology by cascading equivalent-circuit unit cells representing short sections of the nonlinear TL of the electrical length much smaller than the characteristic wavelength. The CAD implementation of the TLDN model allows efficient characterisation of the nonlinear models based on different polynomial approximations of the distributed nonlinearities. It has been demonstrated that the proposed modulus polynomial model provides fairly accurate approximation with only a few terms, whereas the conventional analytical polynomial model requires much higher order of the describing polynomial. The results of the presented analysis can be used for the modelling of PIM generation by arbitrary modulated signals in complex planar microwave circuits and design of low-PIM microwave circuits.

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KW - printed circuit boards

M3 - Conference contribution

BT - Proceedings of the 9th International Workshop on Multipactor, Corona and Passive Intermodulation 2017

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Shitvov A, Kozlov D, Schuchinsky A. RF CAD-Assisted Nonlinear Transmission Line Model of Distributed Passive Intermodulation. In Proceedings of the 9th International Workshop on Multipactor, Corona and Passive Intermodulation 2017. 2017