Spatio-temporal complexity of power-grid frequency fluctuations
arXiv:2104.10479 · doi:10.1088/1367-2630/ac08b3
Abstract
Power-grid systems constitute one of the most complex man-made spatially extended structures. These operate with strict operational bounds to ensure synchrony across the grid. This is particularly relevant for power-grid frequency, which operates strictly at Hz (Hz). Nevertheless, small fluctuations around the mean frequency are present at very short time scales seconds and can exhibit highly complex spatio-temporal behaviour. Here we apply superstatistical data analysis techniques to measured frequency fluctuations in the Nordic Grid. We study the increment statistics and extract the relevant time scales and superstatistical distribution functions from the data. We show that different synchronous recordings of power-grid frequency have very distinct stochastic fluctuations with different types of superstatistics at different spatial locations, and with transitions from one superstatistics to another when the time lag of the increment statistics is changed.
arXiv comment11 pages, 6 figures
References in corpus (31)
- SciPy 1.0--Fundamental Algorithms for Scientific Computing in Python
- Array Programming with NumPy
- Superstatistics
- Dynamical foundations of nonextensive statistical mechanics
- Brownian yet non-Gaussian diffusion: from superstatistics to subordination of diffusing diffusivities
- Topological Data Analysis of Financial Time Series: Landscapes of Crashes
- Non-Gaussian power grid frequency fluctuations characterized by Lévy-stable laws and superstatistics
- From time series to superstatistics
- Measuring non-extensitivity parameters in a turbulent Couette-Taylor flow
- Asymptotics of superstatistics
- Statistics of 3-dimensional Lagrangian turbulence
- Modelling train delays with q-exponential functions
- Superstatistics in high energy physics: Application to cosmic ray energy spectra and e+e- annihilation
- Superstatistical fluctuations in time series: Applications to share-price dynamics and turbulence
- Stationary superstatistics distributions of trapped run-and-tumble particles
- Superstatistical energy distributions of an ion in an ultracold buffer gas
- Open data base analysis of scaling and spatio-temporal properties of power grid frequencies
- Propagation of wind-power-induced fluctuations in power grids
- Wind Power Persistence Characterized by Superstatistics
- Superstatistical approach to air pollution statistics
- Single-particle velocity distributions of collisionless, steady-state plasmas must follow Superstatistics
- Superstatistical modelling of protein diffusion dynamics in bacteria
- The footprint of atmospheric turbulence in power grid frequency measurements
- Transition from lognormal to chi-square superstatistics for financial time series
- Heterogeneities in electricity grids strongly enhance non-Gaussian features of frequency fluctuations under stochastic power input
- Two temperature Ising Model
- Fluctuating temperature and baryon chemical potential in heavy-ion collisions and the position of the critical end point in the effective QCD phase diagram
- Transitions between superstatistical regimes: validity, breakdown and applications
- Network desynchronization by non-Gaussian fluctuations
- Effects of demand control on the complex dynamics of electric power system blackouts
- Universal properties of primary and secondary cosmic ray energy spectra
Cited by in corpus (6)
- The stochastic nature of power-grid frequency in South Africa
- Initial analysis of the impact of the Ukrainian power grid synchronization with Continental Europe
- Finite-time Correlations Boost Large Voltage-Angle Fluctuations in Electric Power Grids
- Dynamic stability of electric power grids: Tracking the interplay of the network structure, transmission losses and voltage dynamics
- Dynamical heterogeneity and universality of power-grids
- Quantifying Tipping Risks in Power Grids and beyond