Input-Output Properties of the Power Grid’s Swing Dynamics: Dependence on Network Parameters

Koorehdavoudi, Kasra; Roy, Sandip; Prevost, Thibault; Xavier, Florent; Panciatici, Patrick; Venkatasubramanian, V.

doi:10.1109/ccta.2019.8920431

Cited by 4 publications

(4 citation statements)

References 23 publications

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“…The use of a network-preserving model enables us to study the impact of network topology and system parameters on the system stability. In this regard, a related study is [12], where the classical network-reduced swing equation model is used to examine how the network topology (i.e., the reduced fictitious network) will affect the system transfer function.…”

Section: B Related Workmentioning

confidence: 99%

A Distributed Scheme for Stability Assessment in Large-Scale Structure-Preserving Models via Singular Perturbation

Gholami,

Sun

2021

Preprint

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Assessing small-signal stability of power systems composed of thousands of interacting generators is a computationally challenging task. To reduce the computational burden, this paper introduces a novel condition to assess and certify small-signal stability. Using this certificate, we can see the impact of network topology and system parameters (generators' damping and inertia) on the eigenvalues of the system. The proposed certificate is derived from rigorous analysis of the classical structure-preserving swing equation model and has a physically insightful interpretation related to the generators' parameters and reactive power. To develop the certificate, we use singular perturbation techniques, and in the process, we establish the relationship between the structure-preserving model and its singular perturbation counterpart. As the proposed method is fully distributed and uses only local measurements, its computational cost does not increase with the size of the system. The effectiveness of the scheme is numerically illustrated on the WSCC system.

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Section: B Related Workmentioning

confidence: 99%

A Distributed Scheme for Stability Assessment in Large-Scale Structure-Preserving Models via Singular Perturbation

Gholami,

Sun

2021

Preprint

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“…For example, Theorem 3.8 is directly applicable to lossless power systems, and provides new insights to improve the situational awareness of power system operators. Recall that many control actions taken by power system operators are directly or indirectly targeted at changing the effective damping of the system [19,21,28]. In this context, Theorem 3.8 determines how the system operator should change the damping of the system in order to avoid breaking the hyperbolicity and escaping dangerous bifurcations.…”

Section: Impact Of Damping In Powermentioning

confidence: 99%

“…Undamped modes and oscillations are the root causes of several blackouts, such as the WECC blackout on August 10, 1996 [20] as well as the more recent events such as the forced oscillation event on January 11, 2019 [1] in power systems. In order to maintain system stability in the wake of unexpected equipment failures, many control actions taken by power system operators are directly or indirectly targeted at changing the effective damping of system (1.1) [19,21,28]. In this context, an important question is how the stability properties of power system equilibrium points change as the damping of the system changes.…”

Section: Introductionmentioning

confidence: 99%

“…Another set of literature relevant to our work studies the role of power system parameters in the stability of its equilibrium points. For instance, the work presented in [19] examines the dependence of the transfer functions on the system parameters in the swing equation model. In [30], the role of inertia in the frequency response of the system is studied.…”

Section: Introductionmentioning

confidence: 99%

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The Impact of Damping in Second-Order Dynamical Systems with Applications to Power Grid Stability

Gholami,

Sun

2020

Preprint

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We consider a broad class of second-order dynamical systems and study the role of damping as a system parameter in the stability, hyperbolicity, and bifurcation in such systems. We prove a monotonic effect of damping on the hyperbolicity of the equilibrium points of the corresponding first-order system. This provides a rigorous formulation and theoretical justification for some intuitive notions that damping increases stability. To establish this result, we prove a matrix perturbation result for complex symmetric matrices with positive semidefinite perturbations to their imaginary parts, which may be of independent interest. Furthermore, we establish necessary and sufficient conditions for the breakdown of hyperbolicity of the first-order system under damping variations in terms of observability of a pair of matrices relating damping, inertia, and Jacobian matrices, and propose sufficient conditions for Hopf bifurcation resulting from such hyperbolicity breakdown. The developed theory has significant applications in the stability of electric power systems, which are one of the most complex and important engineering systems. In particular, we characterize the impact of damping on the hyperbolicity of swing equations, which is the fundamental dynamical model of power systems, and demonstrate Hopf bifurcations resulting from damping variations.

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Graph-Theoretic Analyses of MIMO Channels in Diffusive Networks

Koorehdavoudi

Roy

2019

2019 57th Annual Allerton Conference on Communication, Control, and Computing (Allerton)

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Input-Output Properties of the Power Grid’s Swing Dynamics: Dependence on Network Parameters

Cited by 4 publications

References 23 publications

A Distributed Scheme for Stability Assessment in Large-Scale Structure-Preserving Models via Singular Perturbation

A Distributed Scheme for Stability Assessment in Large-Scale Structure-Preserving Models via Singular Perturbation

The Impact of Damping in Second-Order Dynamical Systems with Applications to Power Grid Stability

Graph-Theoretic Analyses of MIMO Channels in Diffusive Networks

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