Standard

Nonlinear analysis of PLL by the harmonic balance method : limitations of the pull-in range estimation. / Kudryashova, E. V.; Kuznetsov, N. V.; Leonov, G. A.; Yuldashev, M. V.; Yuldashev, R. V.

In: IFAC-PapersOnLine, Vol. 50, No. 1, 01.07.2017, p. 1451-1456.

Research output: Contribution to journal › Article › peer-review

Harvard

Kudryashova, EV, Kuznetsov, NV, Leonov, GA, Yuldashev, MV & Yuldashev, RV 2017, 'Nonlinear analysis of PLL by the harmonic balance method: limitations of the pull-in range estimation.', IFAC-PapersOnLine, vol. 50, no. 1, pp. 1451-1456. https://doi.org/10.1016/j.ifacol.2017.08.289

APA

Kudryashova, E. V., Kuznetsov, N. V., Leonov, G. A., Yuldashev, M. V., & Yuldashev, R. V. (2017). Nonlinear analysis of PLL by the harmonic balance method: limitations of the pull-in range estimation. IFAC-PapersOnLine, 50(1), 1451-1456. https://doi.org/10.1016/j.ifacol.2017.08.289

Vancouver

Kudryashova EV, Kuznetsov NV, Leonov GA, Yuldashev MV, Yuldashev RV. Nonlinear analysis of PLL by the harmonic balance method: limitations of the pull-in range estimation. IFAC-PapersOnLine. 2017 Jul 1;50(1):1451-1456. https://doi.org/10.1016/j.ifacol.2017.08.289

Author

Kudryashova, E. V. ; Kuznetsov, N. V. ; Leonov, G. A. ; Yuldashev, M. V. ; Yuldashev, R. V. / Nonlinear analysis of PLL by the harmonic balance method : limitations of the pull-in range estimation. In: IFAC-PapersOnLine. 2017 ; Vol. 50, No. 1. pp. 1451-1456.

BibTeX

@article{5e0cd8f47bef48869f6adaf646bfc206,
title = "Nonlinear analysis of PLL by the harmonic balance method: limitations of the pull-in range estimation.",
abstract = "In this paper we discuss the application of the harmonic balance method for the global analysis of the classical phase-locked loop (PLL) circuit. The harmonic balance is non rigorous method, which is widely used for the computation of periodic solutions and the checking of global stability. The proof of the absence of periodic solutions is a key step to establish the global stability of PLL and estimate the pull-in range (which is an interval of the frequency deviations such that any solution tends to one of the equilibria). The advantages and limitations of the study of the classical PLL with lead-lag filter using the harmonic balance method is discussed.",
author = "Kudryashova, {E. V.} and Kuznetsov, {N. V.} and Leonov, {G. A.} and Yuldashev, {M. V.} and Yuldashev, {R. V.}",
year = "2017",
month = jul,
day = "1",
doi = "10.1016/j.ifacol.2017.08.289",
language = "English",
volume = "50",
pages = "1451--1456",
journal = "IFAC-PapersOnLine",
issn = "2405-8963",
publisher = "Elsevier",
number = "1",

}

RIS

TY - JOUR

T1 - Nonlinear analysis of PLL by the harmonic balance method

T2 - limitations of the pull-in range estimation.

AU - Kudryashova, E. V.

AU - Kuznetsov, N. V.

AU - Leonov, G. A.

AU - Yuldashev, M. V.

AU - Yuldashev, R. V.

PY - 2017/7/1

Y1 - 2017/7/1

N2 - In this paper we discuss the application of the harmonic balance method for the global analysis of the classical phase-locked loop (PLL) circuit. The harmonic balance is non rigorous method, which is widely used for the computation of periodic solutions and the checking of global stability. The proof of the absence of periodic solutions is a key step to establish the global stability of PLL and estimate the pull-in range (which is an interval of the frequency deviations such that any solution tends to one of the equilibria). The advantages and limitations of the study of the classical PLL with lead-lag filter using the harmonic balance method is discussed.

AB - In this paper we discuss the application of the harmonic balance method for the global analysis of the classical phase-locked loop (PLL) circuit. The harmonic balance is non rigorous method, which is widely used for the computation of periodic solutions and the checking of global stability. The proof of the absence of periodic solutions is a key step to establish the global stability of PLL and estimate the pull-in range (which is an interval of the frequency deviations such that any solution tends to one of the equilibria). The advantages and limitations of the study of the classical PLL with lead-lag filter using the harmonic balance method is discussed.

UR - http://www.scopus.com/inward/record.url?scp=85031765442&partnerID=8YFLogxK

U2 - 10.1016/j.ifacol.2017.08.289

DO - 10.1016/j.ifacol.2017.08.289

M3 - Article

AN - SCOPUS:85031765442

VL - 50

SP - 1451

EP - 1456

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

SN - 2405-8963

IS - 1

ER -

ID: 34826517