On the Generalized Gardner Problem for Phase-Locked Loops in Electrical Grids

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On the Generalized Gardner Problem for Phase-Locked Loops in Electrical Grids. / Kuznetsov, N. V.; Lobachev, M. Yu ; Yuldashev, M. V.; Yuldashev, R. V.; Volskiy, S. I.; Sorokin, D. A.

In: Doklady Mathematics, Vol. 103, No. 3, 01.05.2021, p. 157-161.

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

BibTeX

@article{a68f751a08d646628ae1555d83114ecd,

title = "On the Generalized Gardner Problem for Phase-Locked Loops in Electrical Grids",

abstract = "Methods of nonlinear analysis and synthesis of synchronization control systems for electrical grids have been developed. The use of averaging methods and Lyapunov-type stability criteria for the cylindrical phase space have made it possible for the first time in the Gardner problem to obtain analytical estimates of the system parameters to ensure acceptable values of phase errors and to take into account changes in the reference signal amplitude.",

keywords = "electrical grids, Gardner problem, Lyapunov function, phase-locked loop, tunable lock-in range",

author = "Kuznetsov, {N. V.} and Lobachev, {M. Yu} and Yuldashev, {M. V.} and Yuldashev, {R. V.} and Volskiy, {S. I.} and Sorokin, {D. A.}",

note = "Publisher Copyright: {\textcopyright} 2021, Pleiades Publishing, Ltd.",

year = "2021",

month = may,

day = "1",

doi = "10.1134/s1064562421030108",

language = "English",

volume = "103",

pages = "157--161",

journal = "Doklady Mathematics",

issn = "1064-5624",

publisher = "МАИК {"}Наука/Интерпериодика{"}",

number = "3",

}

RIS

TY - JOUR

T1 - On the Generalized Gardner Problem for Phase-Locked Loops in Electrical Grids

AU - Kuznetsov, N. V.

AU - Lobachev, M. Yu

AU - Yuldashev, M. V.

AU - Yuldashev, R. V.

AU - Volskiy, S. I.

AU - Sorokin, D. A.

PY - 2021/5/1

Y1 - 2021/5/1

N2 - Methods of nonlinear analysis and synthesis of synchronization control systems for electrical grids have been developed. The use of averaging methods and Lyapunov-type stability criteria for the cylindrical phase space have made it possible for the first time in the Gardner problem to obtain analytical estimates of the system parameters to ensure acceptable values of phase errors and to take into account changes in the reference signal amplitude.

AB - Methods of nonlinear analysis and synthesis of synchronization control systems for electrical grids have been developed. The use of averaging methods and Lyapunov-type stability criteria for the cylindrical phase space have made it possible for the first time in the Gardner problem to obtain analytical estimates of the system parameters to ensure acceptable values of phase errors and to take into account changes in the reference signal amplitude.

KW - electrical grids

KW - Gardner problem

KW - Lyapunov function

KW - phase-locked loop

KW - tunable lock-in range

UR - http://www.scopus.com/inward/record.url?scp=85114038864&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/c575f3e6-a7ad-3c7c-a22a-b0ff42f8df01/

U2 - 10.1134/s1064562421030108

DO - 10.1134/s1064562421030108

M3 - Article

AN - SCOPUS:85114038864

VL - 103

SP - 157

EP - 161

JO - Doklady Mathematics

JF - Doklady Mathematics

SN - 1064-5624

IS - 3

ER -

ID: 85937183