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Nonlinear Transient Stability Analysis of Phased-Locked Loop-Based Grid-Following Voltage-Source Converters Using Lyapunov’s Direct Method

IEEE Journal of Emerging and Selected Topics in Power Electronics, 2021
In this article, using Lyapunov’s stability theorem, the transient stability conditions for a grid-following voltage-source converter (VSC) are found. These conditions take into account both the grid specifications and the VSC’s dynamics.
Milad Zarif Mansour   +5 more
semanticscholar   +1 more source

Stability in Nonlinear Programming

Operations Research, 1970
This paper establishes necessary and sufficient conditions for constraint set stability requiring neither convex constraint functions not convex constraint sets. These conditions then lead to a sufficiency result for the continuity of the optimal objective values as the right-hand side varies. Applications to quasiconvex functions are presented.
Evans, J. P., Gould, F. J.
openaire   +2 more sources

Nonlinear stability of CNT-reinforced composite cylindrical panels with elastically restrained straight edges under combined thermomechanical loading conditions

Journal of Thermoplastic Composite Materials, 2018
This article investigates the nonlinear stability of composite cylindrical panels (CPs) reinforced by carbon nanotubes (CNTs), resting on elastic foundations and subjected to combined thermomechanical loading conditions.
L. N. Trang, Hoang Van Tung
semanticscholar   +1 more source

Optimization for Nonlinear Stability

Civil-Comp Proceedings, 1988
Abstract This paper is concerned with the optimal design of trusses to withstand nonlinear stability requirements. While basically a geometrically nonlinear problem, nonlinear stability accounts for large rotations and equilibrium in the deformed state in contrast to linear stability which results in a generalized eigenvalue problem and handles small
Robert Levy, Huei-Shiang Perng
openaire   +1 more source

Nonlinear quantitative stability

International Journal of Robust and Nonlinear Control, 2004
AbstractThis work makes use of the Schauder fixed point theorem to develop a quantitative approach to the stability problem of non‐linear QFT designs. The method is applied to non‐linear systems having a linear high‐frequency behaviour, allowing nonlinearities in the input and output, and is especially well suited for systems with hard memoryless ...
Baños, Alfonso, Horowitz, Isaac M.
openaire   +2 more sources

Nonlinear Stability of Relativistic Vortex Sheets in Three-Dimensional Minkowski Spacetime

Archive for Rational Mechanics and Analysis, 2017
We are concerned with the nonlinear stability of vortex sheets for the relativistic Euler equations in three-dimensional Minkowski spacetime. This is a nonlinear hyperbolic problem with a characteristic free boundary.
Guifang Chen, P. Secchi, Tao Wang
semanticscholar   +1 more source

Nonlinear magnetohydrodynamic stability

The Physics of Fluids, 1981
Ways have been found to significantly upgrade the resolution of an equilibrium and stability code that is based on the variational principle of ideal magnetohydrodynamics. Nonlinear saturation of ballooning modes for tokamaks has been demonstrated using a revised version of the code. Second stability regions are calculated from the nonlinear dependence
Bauer, F.   +2 more
openaire   +2 more sources

Global nonlinear stability of bidispersive porous convection with throughflow and depth-dependent viscosity

The Physics of Fluids
The linear instability and the nonlinear stability analyses have been performed to examine the combined impact of a uniform vertical throughflow and a depth-dependent viscosity on bidispersive porous convection using the Darcy theory with a single ...
V. K. Tripathi   +3 more
semanticscholar   +1 more source

STABILIZATION OF PLANAR NONLINEAR SYSTEMS

IFAC Proceedings Volumes, 1992
Abstract In this paper, we investigate the C1-stabilizability of affine control nonlinear systems in the plane. The feedback laws are given by means of Center manifold machinery.
R. Chabour, A. Iggidr
openaire   +1 more source

Stability and Complexity in Model Ecosystems

, 2019
What makes populations stabilize? What makes them fluctuate? Are populations in complex ecosystems more stable than populations in simple ecosystems? In , Robert May addressed these questions in this monograph that has since become a classic. Trained
R. May
semanticscholar   +1 more source

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