Analyzing the voltage stability of the smart grid requires accurate mathematical models of the load. Several static and dynamic load models were proposed, but most of them did not incorporate the frequency component. In order to build more accurate dynamic load models in the power system, we must examine the mathematical characteristics (short range versus long range dependence) of the power system variables. Toward this end, we demonstrate that the voltage magnitude, frequency, and voltage phase angle of Phasor Measurement Unit data exhibits long-range dependence. Our findings call for the development of a fractal modeling approach of the smart grid.
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