Systematic methodology for the global stability analysis of nonlinear circuits

A new methodology for the detection of Hopf, flip, and turning-point bifurcations in nonlinear circuits analyzed with harmonic balance (HB) is presented. It enables a systematic determination of bifurcation loci in terms of relevant parameters, such as input power, input frequency, and bias voltages...

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Autores: Hernández Rodríguez, Silvia, Suárez Rodríguez, Almudena|||0000-0002-5266-5544
Formato: artículo
Fecha de publicación:2019
País:España
Recursos:Universidad de Cantabria (UC)
Repositorio:UCrea Repositorio Abierto de la Universidad de Cantabria
Idioma:inglés
OAI Identifier:oai:repositorio.unican.es:10902/18188
Acesso em linha:http://hdl.handle.net/10902/18188
Access Level:acceso abierto
Palavra-chave:Bifurcation
Harmonic balance (HB)
Oscillation
Stability
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spelling Systematic methodology for the global stability analysis of nonlinear circuitsHernández Rodríguez, SilviaSuárez Rodríguez, Almudena|||0000-0002-5266-5544BifurcationHarmonic balance (HB)OscillationStabilityA new methodology for the detection of Hopf, flip, and turning-point bifurcations in nonlinear circuits analyzed with harmonic balance (HB) is presented. It enables a systematic determination of bifurcation loci in terms of relevant parameters, such as input power, input frequency, and bias voltages, for instance. It does not rely on the use of continuation techniques and is able to globally provide the entire loci, often containing multivalued sections and/or disconnected curves, in a single simulation. The calculation of Hopf and flip bifurcations is based on the extraction of a small-signal admittance/impedance function from HB and the calculation of its zeros through a geometrical procedure. The method is ideally suited for the investigation of the global stability properties of power amplifiers and other nonlinear circuits. The turning-point locus, associated with either jump phenomena or synchronization, is obtained by taking into account the annihilation/generation of steady-state solutions that is inherent to this type of bifurcation. A technique is also presented for the exhaustive calculation of oscillation modes in multidevice oscillators and oscillators loaded with multiresonance networks. The new methodologies are illustrated through their application to a power amplifier and a multimode oscillator.This work was supported by the Spanish Ministry of Economy and Competitiveness and the European Regional Development Fund (ERDF/FEDER) under research projects TEC2014-60283-C3-1-R and TEC2017-88242-C3-1-R.Institute of Electrical and Electronics Engineers Inc.Universidad de Cantabria20192019-01-01journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articlehttp://hdl.handle.net/10902/18188IEEE Transactions on Microwave Theory and Techniques, 2019, 67(1), 3-15reponame:UCrea Repositorio Abierto de la Universidad de Cantabriainstname:Universidad de Cantabria (UC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:repositorio.unican.es:10902/181882026-06-02T12:39:31Z
dc.title.none.fl_str_mv Systematic methodology for the global stability analysis of nonlinear circuits
title Systematic methodology for the global stability analysis of nonlinear circuits
spellingShingle Systematic methodology for the global stability analysis of nonlinear circuits
Hernández Rodríguez, Silvia
Bifurcation
Harmonic balance (HB)
Oscillation
Stability
title_short Systematic methodology for the global stability analysis of nonlinear circuits
title_full Systematic methodology for the global stability analysis of nonlinear circuits
title_fullStr Systematic methodology for the global stability analysis of nonlinear circuits
title_full_unstemmed Systematic methodology for the global stability analysis of nonlinear circuits
title_sort Systematic methodology for the global stability analysis of nonlinear circuits
dc.creator.none.fl_str_mv Hernández Rodríguez, Silvia
Suárez Rodríguez, Almudena|||0000-0002-5266-5544
author Hernández Rodríguez, Silvia
author_facet Hernández Rodríguez, Silvia
Suárez Rodríguez, Almudena|||0000-0002-5266-5544
author_role author
author2 Suárez Rodríguez, Almudena|||0000-0002-5266-5544
author2_role author
dc.contributor.none.fl_str_mv Universidad de Cantabria
dc.subject.none.fl_str_mv Bifurcation
Harmonic balance (HB)
Oscillation
Stability
topic Bifurcation
Harmonic balance (HB)
Oscillation
Stability
description A new methodology for the detection of Hopf, flip, and turning-point bifurcations in nonlinear circuits analyzed with harmonic balance (HB) is presented. It enables a systematic determination of bifurcation loci in terms of relevant parameters, such as input power, input frequency, and bias voltages, for instance. It does not rely on the use of continuation techniques and is able to globally provide the entire loci, often containing multivalued sections and/or disconnected curves, in a single simulation. The calculation of Hopf and flip bifurcations is based on the extraction of a small-signal admittance/impedance function from HB and the calculation of its zeros through a geometrical procedure. The method is ideally suited for the investigation of the global stability properties of power amplifiers and other nonlinear circuits. The turning-point locus, associated with either jump phenomena or synchronization, is obtained by taking into account the annihilation/generation of steady-state solutions that is inherent to this type of bifurcation. A technique is also presented for the exhaustive calculation of oscillation modes in multidevice oscillators and oscillators loaded with multiresonance networks. The new methodologies are illustrated through their application to a power amplifier and a multimode oscillator.
publishDate 2019
dc.date.none.fl_str_mv 2019
2019-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10902/18188
url http://hdl.handle.net/10902/18188
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Institute of Electrical and Electronics Engineers Inc.
publisher.none.fl_str_mv Institute of Electrical and Electronics Engineers Inc.
dc.source.none.fl_str_mv IEEE Transactions on Microwave Theory and Techniques, 2019, 67(1), 3-15
reponame:UCrea Repositorio Abierto de la Universidad de Cantabria
instname:Universidad de Cantabria (UC)
instname_str Universidad de Cantabria (UC)
reponame_str UCrea Repositorio Abierto de la Universidad de Cantabria
collection UCrea Repositorio Abierto de la Universidad de Cantabria
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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