B. Schäfer, L. R. Gorjão, G. Yalcin, Ellen Förstner, Richard Jumar, H. Maass, U. Kühnapfel, V. Hagenmeyer
{"title":"亚秒尺度下电网频率记录的微观波动","authors":"B. Schäfer, L. R. Gorjão, G. Yalcin, Ellen Förstner, Richard Jumar, H. Maass, U. Kühnapfel, V. Hagenmeyer","doi":"10.48550/arXiv.2208.06379","DOIUrl":null,"url":null,"abstract":"Complex systems, such as the power grid, are essential for our daily lives. Many\n complex systems display multifractal behavior, correlated fluctuations and power\n laws. Whether the power-grid frequency, an indicator of the balance of supply\n and demand in the electricity grid, also displays such complexity remains a\n mostly open question. Within the present article, we utilize highly resolved\n measurements to quantify the properties of the power-grid frequency, making\n three key contributions: First, we demonstrate the existence of power laws in\n power-grid frequency measurements. Second, we show that below one second, the\n dynamics may fundamentally change, including a suddenly increasing power\n spectral density, emergence of multifractality and a change of correlation\n behavior. Third, we provide a simplified stochastic model involving positively\n correlated noise to reproduce the observed dynamics, possibly linked to\n frequency-dependent loads. Finally, we stress the need for high-quality\n measurements and discuss how we obtained the data analyzed here.","PeriodicalId":72654,"journal":{"name":"Complex psychiatry","volume":"85 1","pages":"2657039:1-2657039:13"},"PeriodicalIF":0.0000,"publicationDate":"2022-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Microscopic fluctuations in power-grid frequency recordings at the sub-second scale\",\"authors\":\"B. Schäfer, L. R. Gorjão, G. Yalcin, Ellen Förstner, Richard Jumar, H. Maass, U. Kühnapfel, V. Hagenmeyer\",\"doi\":\"10.48550/arXiv.2208.06379\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Complex systems, such as the power grid, are essential for our daily lives. Many\\n complex systems display multifractal behavior, correlated fluctuations and power\\n laws. Whether the power-grid frequency, an indicator of the balance of supply\\n and demand in the electricity grid, also displays such complexity remains a\\n mostly open question. Within the present article, we utilize highly resolved\\n measurements to quantify the properties of the power-grid frequency, making\\n three key contributions: First, we demonstrate the existence of power laws in\\n power-grid frequency measurements. Second, we show that below one second, the\\n dynamics may fundamentally change, including a suddenly increasing power\\n spectral density, emergence of multifractality and a change of correlation\\n behavior. Third, we provide a simplified stochastic model involving positively\\n correlated noise to reproduce the observed dynamics, possibly linked to\\n frequency-dependent loads. Finally, we stress the need for high-quality\\n measurements and discuss how we obtained the data analyzed here.\",\"PeriodicalId\":72654,\"journal\":{\"name\":\"Complex psychiatry\",\"volume\":\"85 1\",\"pages\":\"2657039:1-2657039:13\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-07-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Complex psychiatry\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.48550/arXiv.2208.06379\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Complex psychiatry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.48550/arXiv.2208.06379","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Microscopic fluctuations in power-grid frequency recordings at the sub-second scale
Complex systems, such as the power grid, are essential for our daily lives. Many
complex systems display multifractal behavior, correlated fluctuations and power
laws. Whether the power-grid frequency, an indicator of the balance of 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, making
three key contributions: First, we demonstrate the existence of power laws in
power-grid frequency measurements. Second, we show that below one second, the
dynamics may fundamentally change, including a suddenly increasing power
spectral density, emergence of multifractality and a change of correlation
behavior. Third, 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.