Simulation of the steady state of oscillators in the time domain

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1 Citation (Scopus)

Abstract

The numerical calculation of the limit cycle of oscillators with resonators exhibiting a high quality factor such as quartz crystals is a difficult task in the time domain. Time domain integration formulas introduce numerical damping which leads asympotically to erroneous limit cycles or spurious oscillations. The numerical problems for solving the underlying differential algebraic equations are studied in detail. Based on these results a class of novel integration formulas is derived and the results are compared with the well-known Harmonic Balance (HB) technique. The discretized system is sparser than that of the HB method, therefore easier to solve and slower run time.

Original languageEnglish
Title of host publicationProceedings - Design, Automation and Test in Europe Conference and Exhibition, DATE 2012
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1355-1360
Number of pages6
ISBN (Print)9783981080186
DOIs
Publication statusPublished - 2012
Event15th Design, Automation and Test in Europe Conference and Exhibition, DATE 2012 - Dresden, Germany
Duration: 12 Mar 201216 Mar 2012

Publication series

NameProceedings -Design, Automation and Test in Europe, DATE
ISSN (Print)1530-1591

Conference

Conference15th Design, Automation and Test in Europe Conference and Exhibition, DATE 2012
CountryGermany
CityDresden
Period12.03.201216.03.2012

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