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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2021, Volume 498, Pages 71–75
DOI: https://doi.org/10.31857/S2686954321030103 (Mi danma180) 		 
This article is cited in 7 scientific papers (total in 7 papers)

CONTROL PROCESSES

On the generalized Gardner problem for phase-locked loops in electrical grids

N. Kuznetsovabc, M. Yu. Lobacheva, M. V. Yuldasheva, R. V. Yuldasheva, S. I. Volskiyd, D. A. Sorokind

a Saint Petersburg State University, St. Petersburg, Russia
b Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, Russia
c Peter the Great St. Petersburg Polytechnic University, St. Petersburg, Russia
d Moscow Aviation Institute (National Research University), Moscow, Russia
Full-text PDF (409 kB) Citations (7)
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DOI: https://doi.org/10.31857/S2686954321030103
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: phase-locked loop, tunable lock-in range, Lyapunov function, Gardner problem, electrical grids.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 075-15-2020-934
This work was supported by the Ministry of Science and Higher Education of the Russian Federation in the framework of the program “Advanced Digital Technologies” of St. Petersburg Polytechnic University, agreement no. 075-15-2020-934 of November 17, 2020.
Presented: S. N. Vassilyev
Received: 27.02.2021
Revised: 27.02.2021
Accepted: 30.03.2021
English version:
Doklady Mathematics, 2021, Volume 103, Issue 3, Pages 157–161
DOI: https://doi.org/10.1134/S1064562421030108
Bibliographic databases:
Document Type: Article
UDC: 519.71
Language: Russian
Citation: N. Kuznetsov, M. Yu. Lobachev, M. V. Yuldashev, R. V. Yuldashev, S. I. Volskiy, D. A. Sorokin, “On the generalized Gardner problem for phase-locked loops in electrical grids”, Dokl. RAN. Math. Inf. Proc. Upr., 498 (2021), 71–75; Dokl. Math., 103:3 (2021), 157–161
Citation in format AMSBIB
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