The effect of automatic voltage regulation on the bifurcation evolution in power systems

Vournas, Costas; Pai, M.A.; Sauer, P.W.

doi:10.1109/59.544628

Cited by 46 publications

(38 citation statements)

References 12 publications

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“…Hence, the mechanism behind it is different from the modal interaction developed in Tamura and Yorino (1987), Vittal et al (1991), Lin et al (1996) and local bifurcation of stable equilibria (Dobson et al 2001). Next, multi-swing instability has been characterized as the effect of voltage control to cause an unstable limit cycle (Vournas et al 1996) and a tangled separatrix (Chu 2005), and interactions of inter-area and local plant modes (IEEE/CIGRE Joint Task Force on Stability Terms and Definitions 2004). Our mechanism is an exit across the separatrix, akin to Vournas et al (1996), Chu (2005); however, it is more complicated and is obtained for multi-machine power grids.…”

Section: Discussionmentioning

confidence: 99%

“…Next, multi-swing instability has been characterized as the effect of voltage control to cause an unstable limit cycle (Vournas et al 1996) and a tangled separatrix (Chu 2005), and interactions of inter-area and local plant modes (IEEE/CIGRE Joint Task Force on Stability Terms and Definitions 2004). Our mechanism is an exit across the separatrix, akin to Vournas et al (1996), Chu (2005); however, it is more complicated and is obtained for multi-machine power grids. Our result analytically gives a novel dynamical perspective of the multi-swing instability, which has been recognized as the modal interaction (IEEE/CIGRE Joint Task Force on Stability Terms and Definitions 2004).…”

Section: Discussionmentioning

confidence: 99%

“…Mechanisms underlying this instability have also been studied. In Vournas et al (1996) the authors use a detailed model with excitation control and clarify the transient dynamics close to an unstable limit cycle that cause the instability. In Chu (2005) the author reviews lobe dynamics around a tangled separatrix due to periodic forcing and associates it with the occurrence of multi-swing instability.…”

Section: Introductionmentioning

confidence: 99%

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Coherent Swing Instability of Power Grids

2011

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We interpret and explain a phenomenon in short-term swing dynamics of multi-machine power grids that we term the Coherent Swing Instability (CSI). This is an undesirable and emergent phenomenon of synchronous machines in a power grid, in which most of the machines in a sub-grid coherently lose synchronism with the rest of the grid after being subjected to a finite disturbance. We develop a minimal mathematical model of CSI for synchronous machines that are strongly coupled in a loop transmission network and weakly connected to the infinite bus. This model provides a dynamical origin of CSI: it is related to the escape from a potential well, or, more precisely, to exit across a separatrix in the dynamical system for the amplitude of the weak nonlinear mode that governs the collective motion of the machines. The linear oscillations between strongly coupled machines then act as perturbations on the nonlinear mode. Thus we reveal how the three different mode oscillations-local plant, inter-machine, and inter-area modes-interact to destabilize a power grid. Furthermore, we present a phenomenon of short-term swing dynamics in the New England (NE) 39-bus test system, which is a well-known benchmark model for power grid sta- bility studies. Using a partial linearization of the nonlinear swing equations and the proper orthonormal decomposition, we show that CSI occurs in the NE test system, because it is a dynamical system with a nonlinear mode that is weak relative to the linear oscillatory modes.

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Coherent Swing Instability of Power Grids

2011

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“…Traditionally, three oscillatory modes have been used to explain the instability: local plant mode oscillations, inter-area mode instabilities, and multi-swing instabilities [1,3,[11][12][13][14][15][16][17][18]. In [10] the authors revealed how the three different mode oscillations interacted to destabilize a power grid and showed that the so-called collective mode of the grid was destabilized due to a perturbation from oscillatory modes with finite amplitudes determined by the grid's topology.…”

Section: Introductionmentioning

confidence: 99%

Decomposition of energy function and hierarchical diagnosis of power grid swing instabilities

Kojima

Susuki

Tsumura

et al. 2016

NOLTA

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This paper considers an electric power grid with multiple synchronous machines exhibiting coupled swing dynamics and aims at developing a hierarchical diagnosis of loss of transient stability of the machines, which we term as swing instabilities. We introduce a standard energy function for the power grid and decompose it into individual energy functions of a collective system of the grid, of the motions relative to the collective system, and of the infinite bus. This decomposition enables us to extract distinctive behaviors embedded in the swing instabilities in terms of energy. We numerically apply the individual energy functions in the proposed decomposition to analysis of swing instabilities in the IEEE New England 39-bus test system. We then propose a hierarchical diagnosis of the swing instabilities based on the decomposition and discuss its validity by approximating the individual energy functions along solutions representing the grid's instabilities.

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“…Improper tuning of generation control parameters may lead to Hopf bifurcation [88][89][90]. Nonlinear load may also lead to Hopf bifurcation [91].…”

Section: Voltage and Oscillatory Stability Margin Tracing Under Varyimentioning

confidence: 99%

Interior point based optimal voltage stability, oscillatory stability and ATC margin boundary tracing

Zhou

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The effect of automatic voltage regulation on the bifurcation evolution in power systems

Cited by 46 publications

References 12 publications

Coherent Swing Instability of Power Grids

Coherent Swing Instability of Power Grids

Decomposition of energy function and hierarchical diagnosis of power grid swing instabilities

Interior point based optimal voltage stability, oscillatory stability and ATC margin boundary tracing

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