论文标题

电网频率记录的显微镜波动

Microscopic fluctuations in power-grid frequency recordings at the sub-second scale

论文作者

Schäfer, Benjamin, Gorjão, Leonardo Rydin, Yalcin, G. Cigdem, Förstner, Ellen, Jumar, Richard, Maass, Heiko, Kühnapfel, Uwe, Hagenmeyer, Veit

论文摘要

复杂的系统,例如电网,对我们的日常生活至关重要。许多复杂的系统显示(多)分形行为,相关的波动和功率定律。电网频率是否是电网供需平衡的指标,也显示出这种复杂性仍然是一个大多数开放的问题。在本文中,我们利用高度分辨的测量来量化功率网频的属性。我们表明,在1秒钟以下,动力学可能会从根本上发生变化,包括突然增加的功率谱密度,多纹理的出现以及相关行为的变化。我们提供了一个简化的随机模型,涉及正相关的噪声,以重现观察到的动力学,可能与频率依赖性负载有关。最后,我们强调对高质量测量的需求,并讨论我们如何获得此处分析的数据。

Complex systems, such as the power grid, are essential for our daily lives. Many complex systems display (multi-)fractal behavior, correlated fluctuations and power laws. Whether the power-grid frequency, an indicator about the balance on supply and demand in the electricity grid, also displays such complexity remains a mostly open question. Within the present article, we utilize highly resolved measurements to quantify the properties of the power-grid frequency. We show that below 1 second, the dynamics may fundamentally change, including a suddenly increasing power spectral density, emergence of multifractality and a change of correlation behavior. We provide a simplified stochastic model involving positively correlated noise to reproduce the observed dynamics, possibly linked to frequency dependent loads. Finally, we stress the need for high-quality measurements and discuss how we obtained the data analyzed here.

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