Analysis of the inter-area mode phenomenon in power systems following large disturbances

Vittal, Vijay; Bhatia, N.; Fouad, A. A.

doi:10.1109/59.116998

Cited by 109 publications

(50 citation statements)

References 6 publications

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“…The divergence is not local in the sense that it does not happen due to an infinitesimally small perturbation around an equilibrium. 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).…”

Section: Discussionmentioning

confidence: 99%

“…Again we comment the relationship between these and our studies. Inter-area mode oscillation is studied as modal interaction via nonlinear quadratic terms in Tamura and Yorino (1987), Vittal et al (1991), Lin et al (1996) and by parameter change in Dobson et al (2001). These studies are for oscillatory instability of a group of generators, that is, development of inter-area mode oscillation.…”

Section: Discussionmentioning

confidence: 99%

“…They use the linearized swing equations with quadratic nonlinear terms and point out the occurrence of sustained oscillations. In Vittal et al (1991), Lin et al (1996), the authors study the inter-area mode phenomena in terms of the interaction of natural modes in oscillation via quadratic nonlinear terms. They show that the nonlinear modal interaction indicates the onset of inter-area mode phenomena, in which a finite, large initial disturbance results in the separation of a large group of generators from the rest of the system.…”

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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“…As the system become more stressed, complicated phenomena involving the interaction between the system modes may occur [1]. As discussed in [2], the interaction between modes plays an important role in the dynamic characteristics of the system and must be considered in comprehensive dynamic studies.…”

Section: Introductionmentioning

confidence: 99%

A New Approach to Reduce the Nonlinear Characteristics of a Stressed Power System by Using the Normal Form Technique in the Control Design of the Excitation System

Lomei

Assili

Sutanto

et al. 2017

IEEE Trans. on Ind. Applicat.

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A new approach to reduce the non-linear characteristics of a stressed power system by using the normal form technique in the control design of the excitation system A new approach to reduce the non-linear characteristics of a stressed power system by using the normal form technique in the control design of the excitation system," in Industry Applications Society Annual Meeting, 2015 IEEE, 2015 A new approach to reduce the non-linear characteristics of a stressed power system by using the normal form technique in the control design of the excitation system AbstractIn this paper, a new approach is presented to reduce the nonlinear characteristics of a stressed power system by reducing its second-order modal interaction through retuning some parameters of the generator excitation system. In order to determine the second-order modal interaction of the system, a new index on nonlinearity is developed using normal form theory. Using the proposed index of nonlinearity, a sensitivity function is formed to indicate the most effective excitation system parameters in the nonlinear behavior of the system. These dominant parameters are tuned to reduce the second-order modal interaction of the system and to reduce the index on nonlinearity. The efficiency of the proposed method is validated using a four-machine two-area test system. Simulation results show that a proper tuning of the excitation controller can reduce the second-order modal interaction of the system and can even improve the transient stability margin of the network. This conference paper is available at Research Online: http://ro.uow.edu.au/eispapers/5608 Abstract--In this paper, a new approach is presented to reduce the nonlinear characteristics of a stressed power system by reducing its second-order modal interaction through retuning some parameters of the generator excitation system. In order to determine the second-order modal interaction of the system, a new index on nonlinearity is developed using normal form theory. Using the proposed index of nonlinearity, a sensitivity function is formed to indicate the most effective excitation system parameters in the nonlinear behavior of the system. These dominant parameters are tuned to reduce the second-order modal interaction of the system and to reduce the index on nonlinearity. The efficiency of the proposed method is validated using a four-machine two-area test system. Simulation results show that a proper tuning of the excitation controller can reduce the second-order modal interaction of the system and can even improve the transient stability margin of the network.Index Terms-index of nonlinearity; modal interaction; nonlinear systems; normal form; transient stability.

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“…It mainly consists of computing eigenvalues, eigenvectors, participation factors, and the like. In particular, analysis of these quantities allows uncovering the participation (natural modes of oscillation) of the various machines losing synchronism, as for example in an inter-area mode oscillation [2]. While post-disturbance SEPs are generally easy to determine, computation of UEPs has long been considered as a problematic task [3,4].…”

Section: Introductionmentioning

confidence: 99%

An approach to modal analysis of power system angle stability

Roth

Ruiz-Vega

Ernst

et al.

2001 IEEE Porto Power Tech Proceedings (Cat. No.01EX502)

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Abstract-An approach to modal analysis and modal identification is proposed, capable of complementing the panoply of existing methods. It is based on a hybrid time-domain -direct transient stability method called SIME (for SIngle Machine Equivalent). In short, SIME uses a conventional transient stability program to transform the time varying parameters of the system into those of a one-machine infinite bus (OMIB) equivalent system. The representations of this OMIB allow substantial reduction of the original problem's dimensionality. Many important advantages may result. For example, the multimachine system unstable equilibrium point (UEP) can readily be derived from the OMIB UEP, which is calculated analytically and unambiguously in a two-dimensional space. Further, the interplay between multimachine and OMIB characteristics and their complementary properties provides a better understanding and handling of damping, inter-area oscillations and their control. More generally, modal analysis and modal identification tasks get closer to each other and easier to handle. The paper essentially focuses on the approach as such rather than on potential applications. Simulations carried out on a 3-machine system illustrate main features.

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Analysis of the inter-area mode phenomenon in power systems following large disturbances

Cited by 109 publications

References 6 publications

Coherent Swing Instability of Power Grids

Coherent Swing Instability of Power Grids

A New Approach to Reduce the Nonlinear Characteristics of a Stressed Power System by Using the Normal Form Technique in the Control Design of the Excitation System

An approach to modal analysis of power system angle stability

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