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

2022/07/07 by Benjamin Schäfer, Leonardo Rydin Gorjão, Schäfer, Benjamin +13
Economics, Econometrics and Finance · Engineering · Physics and Astronomy · #Applications (stat.AP) #Chaos control and synchronization #Complex Systems and Time Series Analysis #Data Analysis #Energy Load and Power Forecasting #FOS: Computer and information sciences #FOS: Electrical engineering #FOS: Physical sciences #Physics and Society (physics.soc-ph) #Statistics and Probability (physics.data-an) #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.2208.06379

openalex publication_date 2022/07/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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