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Fractal Geometry for Modelling the Dynamic Behavior of Power Networks with Respect to the Distributed Nature of Transmission Lines
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DOI: https://doi.org/10.15866/iree.v13i3.14746
Abstract
This paper investigates the scale invariance of power networks with respect to the distributed nature of transmission lines. The frequency responses corresponding to Sierpinski and Cantor networks are underlined with lumped and distributed parameters models. The range of validity of scale invariance is investigated for both lumped and distributed parameters networks. The effect of scale invariance on the frequency response of power system is traduced by a power law at intermediate frequencies for lumped networks. For a distributed network, the resonant behavior extends to high frequency. Application to real networks is also proposed.
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