This paper presents an unconventional and innovative approach to obtain equivalent dynamic model of smart grids.
Of course, the authors do not pretend to be able today to solve the complete problem. So, the aim of this paper is
first to give the basis of our approach and shows its relevancy. For that reason, the presented works will focus on high
frequency equivalents of power systems only.
These equivalents are generally obtained by the identification of an approximation of the frequency response of the
Norton admittance of the external network seen from its point of connection with the study zone [18]. The paper will
aim at introducing scale-invariant properties into this approximation.
As previously mentioned, this paper will focus on the power systems only. Even if our work is expected to be
extended in the future to ICT networks, the preliminary developments have been based, for simplicity purpose, on the
continuous equations describing the electrical grids.
Then, the first section of the paper refers to the characterization of the scale invariance of power systems. The
second part details the scale invariance properties of fractal synthetic grids and realistic power systems. The third and fourth parts propose a new modeling approach based on the scale invariance and suitable for the approximation of the
frequency response of electrical grids. Results will be demonstrated for an IEEE 118-bus network [11].