This paper proposes a method to calculate the degree of fluctuation of the daily electrical load-curve using fractal dimension, which is a quantitative estimator of spatial complexity. The conventional methods for forecasting have not studied such a variable, being a new parameter that can be included to characterize the electrical load. The method of fractal dimension also allows us to propose a new numerical method to calculate the integral of a function, using the trapezoid rule, but splitting the curve with fractal segments, to discover other observations, which allows the elevation of new theoretical approaches. The results are compared with the other methods such as the conventional trapezoid rule and the box-counting. It is then a new contribution that expands the universal knowledge on the subject. The case study is the daily electrical load-curve, where the energy demanded corresponds to the area of the [Formula: see text] region bounded by the curve.

中文翻译：

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计算日用电负荷能量和分形维数的新方法

本文提出了一种利用分形维数计算日用电负荷曲线波动程度的方法，分形维数是空间复杂度的定量估计量。传统的预测方法没有研究过这样的变量，它是一个可以用来表征电力负荷的新参数。分形维数的方法还允许我们提出一种新的数值方法来计算函数的积分，使用梯形规则，但用分形线段分割曲线，以发现其他观察结果，从而提升新的理论方法。将结果与传统梯形规则和计箱法等其他方法进行了比较。这是一个新的贡献，扩展了该主题的普遍知识。