Dynamics of a minimal power system model - invariant tori and quasi-periodic motions

Ji, Weijun; Venkatasubramanian, V.

doi:10.1109/iscas.1995.521612

Cited by 2 publications

(1 citation statement)

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“…The bifurcation theory provides a set of mathematical techniques and related analysis for nonlinear Differential Algebraic Equations (DAEs). In particular, the bifurcation theory is widely recognized as an effective tool to study voltage stability [10][11][12][13]. The advantage of this technique consists in the determination of the system eigenvalues, i.e., it is not necessary to numerically solve the Jacobean matrix for the system, thus significantly reducing the computational effort and providing a qualitative tool to assess nonlinear oscillation in nonlinear power grid dynamical system.…”

Section: -Introductionmentioning

confidence: 99%

Analysis of Bifurcations in a Wind Turbine System Based on DFIG

Khosravi

Zamanifar

Derakhshan-Barjoei

2018

ESJ

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This main aim of this study is investigation of the dynamic stability in a grid-connected wing turbine system based on Double Feed Induction Generator (DFIG) using the bifurcation theory. Regarding the overview of stability by Cardenas et. al. [1]. In our research, the proposed system model is simulated based on bifurcation theory in MATLAB software. In each step, one of the controlling or non-controlling parameters is selected. Eigenvalues of system are traced permanently during simulation. According to the change of the eigenvalues of system, due to the change of bifurcation parameter, stability of the equilibrium point and special bifurcations including saddle-node and Hopf bifurcations in the system are determined.

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Section: -Introductionmentioning

confidence: 99%