title: Harmonic balance analysis of pull-in range and oscillatory behavior of third-order type 2 analog PLLs
metadata.name: dc.contributor.author
metadata.value: Kuznetsov, N.V., Lobachev, M.Y., Yuldashev, M.V., Yuldashev, R.V., Kolumban, G.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2021-03-28T14:46:41Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2021-03-28T14:46:41Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2020
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/26788
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The most important design parameters of each phase-locked loop (PLL) are the local
  and global stability properties, and the pull-in range. To extend the pull-in range, engineers often
  use type 2 PLLs. However, the engineering design relies on approximations which prevent a full
  exploitation of the bene ts of type 2 PLLs. Using an exact mathematical model and relying on
  a rigorous mathematical thinking this problem is revisited here and the stability and pull-in
  properties of the third-order type 2 analog PLLs are determined. Both the local and global
  stability conditions are derived. As a new idea, the harmonic balance method is used to derive
  the global stability conditions. That approach o ers an extra advantage, the birth of unwanted
  oscillations can be also predicted. As a veri cation it is shown that the su cient conditions
  of global stability derived by the harmonic balance method proposed here and the well-known
  direct Lyapunov approach coincide with each other, moreover, the harmonic balance predicts
  the birth of oscillations in the gap between the local and global stability conditions. Finally, an
  example when the conditions for local and global stability coincide, is considered.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: en
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: IFAC-PapersOnLine
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Harmonic balance analysis of pull-in range and oscillatory behavior of third-order type 2 analog PLLs
metadata.lang: en_GB
metadata.name: dc.title.alternative
metadata.value: Pull-in range and oscillations in third-order PLL: harmonic balance and direct Lyapunov methods
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Preprint
metadata.lang: en_GB
resources.filename: 2020 - IFAC - Harmonic balance analysis of pull-in range and oscillatory behavior of third-order type 2 analog PLLs.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/26788/1/2020%20-%20IFAC%20-%20Harmonic%20balance%20analysis%20of%20pull-in%20range%20and%20oscillatory%20behavior%20of%20third-order%20type%202%20analog%20PLLs.pdf
resources.format: Adobe PDF
resources.size: 858,49 kB