Continuum Modeling of Electromechanical Dynamics in Large-Scale Power Systems

Parashar, Manu; Thorp, James S.; Seyler, C. E.

doi:10.1109/tcsi.2004.834480

Cited by 158 publications

(89 citation statements)

References 4 publications

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“…In [6], these prerequisites are relaxed to reflect the anisotropy and heterogeneity. In turn, the countable finite branches connecting to the nodes allow for different perunit length line impedances, and intersect with angle h i with respect to the reference axis.…”

Section: The Non-uniform Continuum Modelmentioning

confidence: 99%

“…In Thorp et al [5] reconstructed the similar model in a simple case consisting of generators and transmission lines with the same per-unit length line impedances. In their following work [6], they employed many assumptions made by Semlyen and Dersin into account. These additional factors appear in the continuum model as nonlinear terms, which is indispensable in discussing the disturbance propagation velocities and their stability.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Electromechanical wave in power systems: theory and applications

Wen

Ledwich

et al. 2014

J. Mod. Power Syst. Clean Energy

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The continuum model is a key paradigm describing the behavior of electromechanical transients in power systems. In the past two decades, much research work has been done on applying the continuum model to analyze the electromechanical wave in power systems. In this work, the uniform and non-uniform continuum models are first briefly described, and some explanations borrowing concepts and tools from other fields are given. Then, the existing approaches of investigating the resulting wave equations are summarized. An application named the zero reflection controller based on the idea of the wave equations is next presented.

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Section: The Non-uniform Continuum Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Electromechanical wave in power systems: theory and applications

Wen

Ledwich

et al. 2014

J. Mod. Power Syst. Clean Energy

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“…Instead, we adopt the model of [7] and [1] where the distribution circuit power flows and load dynamics are represented as a continuum system and model the spatiotemporal dynamics using Partial Differential Equations (PDE). Similar approaches have been used to model dynamical effects in transmission grids [8,9]. This PDE approach reveals the nontrivial interplay of the dynamics of loads via the spatial coupling provided by power flows over the electrical network.…”

Section: Introductionmentioning

confidence: 99%

Fault-induced delayed voltage recovery in a long inhomogeneous power-distribution feeder

2015

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We analyze the dynamics of a distribution circuit loaded with many induction motor and subjected to sudden changes in voltage at the beginning of the circuit. As opposed to earlier work [1], the motors are disordered, i.e. the mechanical torque applied to the motors varies in a random manner along the circuit. In spite of the disorder, many of the qualitative features of a homogenous circuit persist, e.g. long-range motor-motor interactions mediated by circuit voltage and electrical power flows result in coexistence of the spatially-extended and propagating normal and stalled phases. We also observed a new phenomenon absent in the case without inhomogeneity/disorder. Specifically, transition front between the normal and stalled phases becomes somewhat random, even when the front is moving very slowly or is even stationary. Motors within the blurred domain appears in a normal or stalled state depending on the local configuration of the disorder. We quantify effects of the disorder and discuss statistics of distribution dynamics, e.g. the front position and width, total active/reactive consumption of the feeder and maximum clearing time.

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“…One way to model such a behavior is by partial differential equations (PDEs). Simple PDE models have been proposed to acquire a deeper understanding of electric power system behavior, see [2], [3]. These models are capable to reproduce observed phenomena such as electromechanical wave propagation at finite speed (order 10 2 km/s), but lack detailed insight on their origin and the role of local dynamics together with an interconnection structure.…”

Section: Introductionmentioning

confidence: 99%

Quasi-stationarity of electric power grid dynamics based on a spatially embedded Kuramoto model

Mangesius

Hirche²,

Obradović

2012

2012 American Control Conference (ACC)

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Abstract-A novel and simple network model that is capable to reproduce quasi-stationary behavior and propagation phenomena in electric power grid dynamics is introduced. A new Kuramoto approximation to distributed generator dynamics is obtained from combining a continuous spatial interaction function with a discrete lattice model representing generator positions and network structure over a continuous spatial domain. At hand of model properties and a numerical study quasi-stationarity of electric power grid dynamics results, being related to non-vanishing fluctuation and oscillations in stationary state.

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Continuum Modeling of Electromechanical Dynamics in Large-Scale Power Systems

Cited by 158 publications

References 4 publications

Electromechanical wave in power systems: theory and applications

Electromechanical wave in power systems: theory and applications

Fault-induced delayed voltage recovery in a long inhomogeneous power-distribution feeder

Quasi-stationarity of electric power grid dynamics based on a spatially embedded Kuramoto model

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