The effect of HVDC lines in power-grids via Kuramoto modelling

Abstract

We present a numerical study on the synchronization and cascade failure behaviour by solving the adaptive second-order Kuramoto model on a large high voltage (HV) European power-grid. This non-perturbative analysis takes into account non-linear effects, which occur even when phase differences are large, when the system is away from the steady state, and even during a blackout cascade. Our dynamical simulations show that improvements in the phase synchronziation stabilization as well as the in the cascade sizes can be related to the finite size scaling behaviour of the second order Kuramoto on graphs with $d_s<4$ spectral dimensions. On the other hand drawbacks in the frequency spread and Braess effects also occur by varying the total transmitted power at large and small global couplings, presumably when the fluctuations are small, causing a freezing in the dynamics. We compare simulations of the fully AC model with those of static or adaptive High Voltage Direct Current (HVDC) line replacements. The adaptive (local frequency difference-based) HVDC lines are more efficient in the steady state, at the expense of very long relaxation times.

References in corpus (10)

• Analysis of a power grid using the Kuramoto-like model
• Understanding Braess' Paradox in power grids
• Power-law distributions of dynamic cascade failures in power-grid models
• Synchronization dynamics on the EU and US power grids
• Stabilizing Large-Scale Electric Power Grids with Adaptive Inertia
• Chimera states in neural networks and power systems
• Synchronization transition of the second-order Kuramoto model on lattices
• Improving power-grid systems via topological changes, or how self-organized criticality can help stability
• Optimal location of reinforced inertia to stabilize power grids
• Studying power-grid synchronization with incremental refinement of model heterogeneity