Propagation of wind-power-induced fluctuations in power grids
arXiv:1809.09098 · doi:10.1103/PhysRevE.99.050301
Abstract
Renewable generators perturb the electric power grid with heavily non-Gaussian and time correlated fluctuations. While changes in generated power on timescales of minutes and hours are compensated by frequency control measures, we report subsecond distribution grid frequency measurements with local non-Gaussian fluctuations which depend on the magnitude of wind power generation in the grid. Motivated by such experimental findings, we simulate the sub-second grid frequency dynamics by perturbing the power grid, as modeled by a network of phase coupled nonlinear oscillators, with synthetically generated wind power feed-in time series. We derive a linear response theory and obtain analytical results for the variance of frequency increment distributions. We find that the variance of short-term fluctuations decays, for large inertia, exponentially with distance to the feed-in node, in agreement with numerical results both for a linear chain of nodes and the German transmission grid topology. In sharp contrast, the kurtosis of frequency increments is numerically found to decay only slowly, not exponentially, in both systems, indicating that the non-Gaussian shape of frequency fluctuations persists over long ranges.
References in corpus (11)
- Analysis of a power grid using the Kuramoto-like model
- Short term fluctuations of wind and solar power systems
- Non-Gaussian power grid frequency fluctuations characterized by Lévy-stable laws and superstatistics
- Robustness of Synchrony in Complex Networks and Generalized Kirchhoff Indices
- Escape Routes, Weak Links, and Desynchronization in Fluctuation-driven Networks
- Delocalization of Phase Disturbances and the Stability of AC Electricity Grids
- Stability of Synchrony against Local Intermittent Fluctuations in Tree-like Power Grids
- Optimal noise-canceling networks
- The footprint of atmospheric turbulence in power grid frequency measurements
- Quantifying Transient Spreading Dynamics on Networks
- Linear Response Theory for Renewable Fluctuations in Power Grids with Transmission Losses
Cited by in corpus (18)
- Open data base analysis of scaling and spatio-temporal properties of power grid frequencies
- Stochastic properties of the frequency dynamics in real and synthetic power grids
- Time delay effects in the control of synchronous electricity grids
- Transient chaos enforces uncertainty in the British power grid
- Noise-Induced Desynchronization and Stochastic Escape from Equilibrium in Complex Networks
- Topological Determinants of Perturbation Spreading in Networks
- Heterogeneities in electricity grids strongly enhance non-Gaussian features of frequency fluctuations under stochastic power input
- Network desynchronization by non-Gaussian fluctuations
- Primary Control Effort under Fluctuating Power Generation in Realistic High-Voltage Power Networks
- Spatio-temporal complexity of power-grid frequency fluctuations
- Stabilizing Large-Scale Electric Power Grids with Adaptive Inertia
- Finite-time Correlations Boost Large Voltage-Angle Fluctuations in Electric Power Grids
- Analysis of the Dynamics and Topology Dependencies of Small Perturbations in Electric Transmission Grids
- A Framework for Synthetic Power System Dynamics
- Linear Response Theory for Renewable Fluctuations in Power Grids with Transmission Losses
- Database of Power Grid Frequency Measurements
- Fluctuation Response Patterns of Network Dynamics -- an Introduction
- Phase and amplitude synchronisation in power-grid frequency fluctuations in the Nordic Grid