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This paper presents the geometrical representation of the load demand byusing orbits diagrams in the Mandelbrot set, to identify changing behaviorsduring a day period of the real and reactive powers. To perform this, differentpower combinations were used to represent the fractal diagrams with analgorithm that considers the mathematical model of Mandelbrot set and orbitsdiagrams. A qualitative analysis of the orbits is performed to identify thefractal graphic patterns with respect to the real and reactive powerconsumptions. The results show repetitive graphic patterns in the fractal spaceof the power consumption during the day, which help represent the consumptionbehavior on a daily load demand curve. The orbit diagrams save form andstructure relations during the daily behavior of the power consumption. Thiswork shows a different method of evaluating load demand behavior by using orbitdiagrams as a potential tool that will lead to identify load behavior, usefulin operational decisions and power system planning.

Geometrical representation of real and reactive powers of load demand by orbit diagrams in the Mandelbrot set