Abstract
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.
Highlights
The electromechanical wave theory introduces a set of models and analytical tools, which provide explanatory and predicting power on how the electromechanical disturbancesCrossCheck date: 23 April 2014The propagation of electromechanical disturbances, considered as travelling waves, first appeared in 1974
By comparing observed data of the actual system with the model frequencies obtained from the simple wave equations, they conjectured that the continuum model can provide information about the low frequency modes of the system
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
Summary
The electromechanical wave theory introduces a set of models and analytical tools, which provide explanatory and predicting power on how the electromechanical disturbances. In Dersin and Levis [4] the homogeneity and the isotropy constraint are relaxed by dividing the network into cells and averaging the system parameters within each cell. His resulting description is a second-order linear elliptic equation. 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.
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