Phase and amplitude synchronisation in power-grid frequency fluctuations in the Nordic Grid
arXiv:2105.00228
Abstract
Monitoring and modelling the power grid frequency is key to ensuring stability in the electrical power system. Many tools exist to investigate the detailed deterministic dynamics and especially the bulk behaviour of the frequency. However, far less attention has been paid to its stochastic properties, and there is a need for a cohesive framework that couples both short-time scale fluctuations and bulk behaviour. Moreover, commonly assumed uncorrelated stochastic noise is predominantly employed in modelling in energy systems. In this publication, we examine the stochastic properties of six synchronous power-grid frequency recording with high-temporal resolution of the Nordic Grid from September 2013, focusing on the increments of the frequency recordings. We show that these increments follow non-Gaussian statistics and display spatial and temporal correlations. Furthermore, we report two different physical synchronisation phenomena: a very short timescale phase synchronisation (s) followed by a slightly larger timescale amplitude synchronisation (s-s). Overall, these results provide guidance on how to model fluctuations in power systems.
arXiv comment11 pages, 6 figures
References in corpus (13)
- Multifractal detrended fluctuation analysis of nonstationary time series
- Synchronization in Complex Oscillator Networks and Smart Grids
- Short term fluctuations of wind and solar power systems
- Non-Gaussian power grid frequency fluctuations characterized by Lévy-stable laws and superstatistics
- Comparing the Topological and Electrical Structure of the North American Electric Power Infrastructure
- Measuring non-extensitivity parameters in a turbulent Couette-Taylor flow
- MFDFA: Efficient Multifractal Detrended Fluctuation Analysis in Python
- Data-driven model of the power-grid frequency dynamics
- Open data base analysis of scaling and spatio-temporal properties of power grid frequencies
- Propagation of wind-power-induced fluctuations in power grids
- Delocalization of Phase Disturbances and the Stability of AC Electricity Grids
- Stochastic properties of the frequency dynamics in real and synthetic power grids
- Transition from lognormal to chi-square superstatistics for financial time series