Data-driven model of the power-grid frequency dynamics
arXiv:1909.08346 · doi:10.1109/ACCESS.2020.2967834
Abstract
The energy system is rapidly changing to accommodate the increasing number of renewable generators and the general transition towards a more sustainable future. Simultaneously, business models and market designs evolve, affecting power-grid operation and power-grid frequency. Problems raised by this ongoing transition are increasingly addressed by transdisciplinary research approaches, ranging from purely mathematical modelling to applied case studies. These approaches require a stochastic description of consumer behaviour, fluctuations by renewables, market rules, and how they influence the stability of the power-grid frequency. Here, we introduce an easy-to-use, data-driven, stochastic model for the power-grid frequency and demonstrate how it reproduces key characteristics of the observed statistics of the Continental European and British power grids. We offer executable code and guidelines on how to use the model on any power grid for various mathematical or engineering applications.
arXiv comment14 pages, 10 figures, Supplemental Material with code
References in corpus (17)
- Superstatistics
- Analysis of a power grid using the Kuramoto-like model
- Short term fluctuations of wind and solar power systems
- Comparative analysis of existing models for power-grid synchronization
- Non-Gaussian power grid frequency fluctuations characterized by Lévy-stable laws and superstatistics
- From time series to superstatistics
- Escape Routes, Weak Links, and Desynchronization in Fluctuation-driven Networks
- The Langevin Approach: An R Package for Modeling Markov Processes
- The footprint of atmospheric turbulence in power grid frequency measurements
- Stochastic properties of the frequency dynamics in real and synthetic power grids
- Stochastic modeling and performance monitoring of wind farm power production
- Curing Braess' Paradox by Secondary Control in Power Grids
- kramersmoyal: Kramers--Moyal coefficients for stochastic processes
- Effects of dynamic-demand-control appliances on the power grid frequency
- Time delay effects in the control of synchronous electricity grids
- Heterogeneities in electricity grids strongly enhance non-Gaussian features of frequency fluctuations under stochastic power input
- Isolating the impact of trading on grid frequency fluctuations
Cited by in corpus (16)
- Open data base analysis of scaling and spatio-temporal properties of power grid frequencies
- Predictability of Power Grid Frequency
- Stochastic properties of the frequency dynamics in real and synthetic power grids
- Analysis and data-driven reconstruction of bivariate jump-diffusion processes
- Correlated power time series of individual wind turbines: A data driven model approach
- Towards realistic statistical models of the grid frequency
- Exploring deterministic frequency deviations with explainable AI
- Synchronization in the presence of time delays and inertia: Stability criteria
- Initial analysis of the impact of the Ukrainian power grid synchronization with Continental Europe
- The stochastic nature of power-grid frequency in South Africa
- Non-parametric estimation of a Langevin model driven by correlated noise
- Universal properties of primary and secondary cosmic ray energy spectra
- A Framework for Synthetic Power System Dynamics
- Non-linear, bivariate stochastic modelling of power-grid frequency applied to islands
- Revealing drivers and risks for power grid frequency stability with explainable AI
- Phase and amplitude synchronisation in power-grid frequency fluctuations in the Nordic Grid