Journal ArticleDOI
Possibility of Auto- and Hetero-Parametric Resonances in Power Systems and Their Relationship with Long-Term Dynamics
Y. Tamura,Naoto Yorino +1 more
TLDR
In this paper, the possibility of parametric resonance due to the nonlinearity of swing equation of electric power systems is described, starting with Mathieu-type equation, and the resonance presented here is classified into (i) heteroparametric resonance which is caused by periodic disturbances, e.g. sinusoidal load variations, and (ii) autoparametric Resonance (internal resonance) which is the interference among some dominant modes in transient state.Abstract:
The possibility of parametric resonance due to the nonlinearity of swing equation of electric power systems is described, starting with Mathieu-type equation. The resonance presented here is classified into (i) heteroparametric resonance which is caused by periodic disturbances, e.g. sinusoidal load variations, and (ii) autoparametric resonance (internal resonance) which is the interference among some dominant modes in transient state. The occurrence conditions and Equation of Envelope which govern the aspect of the resonance are presented using the method of multiple scales, and then confirmed by simulations. From the parametric resonance viewpoints, unstable phenomena of long-term dynamics with poor damping are also reviewed with nonlinear analysis and simulations.read more
Citations
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Journal ArticleDOI
Application of the normal form of vector fields to predict interarea separation in power systems
TL;DR: In this paper, the authors used the normal form of vector fields to predict the onset of the interarea separation in power systems following large disturbances, which is well established in the dynamical systems theory literature.
Journal ArticleDOI
Analysis of the inter-area mode phenomenon in power systems following large disturbances
TL;DR: In this article, a nonlinear interaction of the natural modes of oscillation in the system is analyzed and a technique for determining the interaction is developed and the machines participating in the interaction are identified.
Journal ArticleDOI
Investigation of modal interaction and its effects on control performance in stressed power systems using normal forms of vector fields
TL;DR: In this paper, the authors evaluate nonlinear modal interaction in a power system with excitation control and determine the effect of the interaction on control performance using the normal forms of vectors fields.
Journal ArticleDOI
Nonlinear Koopman Modes and a Precursor to Power System Swing Instabilities
Yoshihiko Susuki,Igor Mezic +1 more
TL;DR: In this paper, the authors suggest a precursor to the loss of transient stability in multi-machine power systems based on the discovery of [Y. Susuki, I. Mezic, and T. Hikihara, 2011].
Journal ArticleDOI
Explaining and validating stressed power systems behavior using modal series
TL;DR: Time-domain nonlinear simulation is used to validate the accuracy of the second order modal model, obtained by using modal series, and three new selective indices are defined and used to explain and predict the differences between nonlinear and linear modal simulations.
References
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Book
Power System Control and Stability
TL;DR: In this paper, the authors present a mathematical model of the Synchronous Machine and the effect of speed and acceleration on the stability of a three-phase power system with constant impedance load.
Journal ArticleDOI
Computer representation of excitation systems
TL;DR: This paper suggests a common nomenclature and control system representation of the various excitation systems now available that can be used to define input data requirements for computer programs, and can provide a consistent format in which manufacturers can respond to requests for excitation system data to be used for system studies.