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Author

Sergey G. Rusakov

Bio: Sergey G. Rusakov is an academic researcher from Russian Academy of Sciences. The author has contributed to research in topics: Harmonic balance & Nonlinear system. The author has an hindex of 7, co-authored 56 publications receiving 183 citations.


Papers
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Proceedings ArticleDOI
01 Nov 1998
TL;DR: A robust and efficient continuation method is presented, based on a continuation method, for oscillator analysis using harmonic balance that overcomes the difficult application of the harmonic balance method to the oscillator problem.
Abstract: We present a new technique, based on a continuation method, for oscillator analysis using harmonic balance. With the use of Krylov subspace iterative linear solvers, harmonic balance has become a very powerful method for the analysis of general nonlinear circuits in the frequency domain. However, application of the harmonic balance method to the oscillator problem has been difficult due to the very small region of convergence. The main contribution of the paper is a robust and efficient continuation method that overcomes this problem.

26 citations

Proceedings ArticleDOI
08 Jun 1997
TL;DR: An experimental investigation of GMRES and QMR, two leading Krylov subspace methods as applied to the HB problem, and the problem of coordinating the linear solver's accuracy with the error at the nonlinear level is discussed.
Abstract: Harmonic balance (HB) is a steady-state simulation technique of primary interest for RF and microwave circuits. Krylov subspace methods promise efficient solution of the large linear systems that arise in HB simulators. This paper deals with an experimental investigation of GMRES and QMR, two leading Krylov subspace methods as applied to the HB problem. The problem of coordinating the linear solver's accuracy with the error at the nonlinear level is also discussed.

24 citations

Journal ArticleDOI
TL;DR: In this article, a new technique based on a continuation method for oscillator analysis using harmonic balance is presented, and the main contribution is a robust and efficient continuation method to obtain global convergence.

23 citations

Book ChapterDOI
06 Oct 2018
TL;DR: The model of the oscillator ensemble with the frequency-dependent couplings has been developed and it is shown that the set of locking functions completely define coupling functions of well-known Kuramoto model.
Abstract: Challenges to analyze networks of weakly coupled oscillators are considered. The model of the oscillator ensemble with the frequency-dependent couplings has been developed. The construction of the model is based on special locking functions obtained by the analysis of synchronized oscillator under external excitation. It is shown that the set of locking functions completely define coupling functions of well-known Kuramoto model. The ensemble interconnections are presented by linear time-invariant dynamical systems that correspond to the frequency-dependent transfer functions included in the model. The order of the resulting system is equal to the number of oscillators, and it does not depend on orders of transfer functions. Two approaches to take into account the frequency dependence of couplings are proposed—by the average frequency and by instantaneous frequencies. The simplified form of the model for weakly nonlinear sinusoidal oscillators is derived. Presented numerical examples illustrate the usage of the model and demonstrate some new effects arising in the oscillator ensemble with the dynamic couplings.

12 citations

Proceedings ArticleDOI
18 May 2008
TL;DR: The resulting expression for the locking range can be applied to any oscillator circuit with arbitrary periodic injection waveform, and can be easily implemented into a circuit simulator.
Abstract: Injection locking of oscillators subject to small periodic excitations is derived from existence conditions of the solution of the small signal harmonic balance degenerate system. The resulting expression for the locking range can be applied to any oscillator circuit with arbitrary periodic injection waveform, and can be easily implemented into a circuit simulator. The application of the general expression to some special cases is considered, and comparison with known results is given. Theoretical results are confirmed by SPICE simulations.

8 citations


Cited by
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Journal ArticleDOI
TL;DR: A summary of physical insights gained into three-dimensional linear instability through solution of the two-dimensional partial-differential-equation-based nonsymmetric real or complex generalised eigenvalue problem is presented in this article.

485 citations

Proceedings ArticleDOI
04 Mar 2002
TL;DR: The efficacy of this linear-centric methodology further improves with increasing model complexity, the inclusion of interconnect parasitics and other analyses that are otherwise difficult with traditional nonlinear models.
Abstract: In this paper, we propose a new harmonic balance simulation methodology based on a linear-centric modeling approach. A linear circuit representation of the nonlinear devices and associated parasitics is used along with corresponding time and frequency domain inputs to solve for the nonlinear steady-state response via successive chord (SC) iterations. For our circuit examples, this approach is shown to be up to 60/spl times/ more run-time efficient than traditional Newton-Raphson (N-R) based iterative methods, while providing the same level of accuracy. This SC-based approach converges as reliably as the N-R approaches, including for circuit problems which cause alternative relaxation-based harmonic balance approaches to fail. The efficacy of this linear-centric methodology further improves with increasing model complexity, the inclusion of interconnect parasitics and other analyses that are otherwise difficult with traditional nonlinear models.

158 citations

Journal ArticleDOI
TL;DR: The present bibliography represents a comprehensive list of references on cyclostationarity and its applications by listing most of the existing references up to the year 2005 and by providing a detailed classification group.

153 citations