Dynamic control of intermittent renewableenergy fluctuations in two-layer power grids

Abstract

In this work we model the dynamics of power grids in terms of a two-layer network, and use the Italian high voltage power grid as a proof-of-principle example. The first layer in our model represents the power grid consisting of generators and consumers, while the second layer represents a dynamic communication network that serves as a controller of the first layer. The dynamics of the power grid is modelled by the Kuramoto model with inertia, while the communication layer provides a control signal Pc i for each generator to improve frequency synchronization within the power grid. We propose different realizations of the communication layer topology and of the control signal, and test the control performances in presence of generators with stochastic power output. When using a control topology that allows all generators to exchange information, we find that a control scheme aimed to minimize the frequency difference between adjacent nodes operates very efficiently even against the worst scenarios with the strongest perturbations. On the other hand, for a control topology where the generators possess the same communication links as in the power grid layer, a control scheme aimed at restoring the synchronization frequency in the neighborhood of the controlled node turns out to be more efficient.

Nonlinear feedback control based on a coordinate transformation in multi-machine power systems

“…It is defined as the ability of a power system to remain synchronized during severe disturbances, such as short circuits in transmission lines [Abbadi et al, 2015;Kundur et al, 2004]. The transient stability of the systems can be improved by changing the control quality of the electric generators [Anderson and Fouad, 1977;Furtat et al, 2022;Guo et al, 2000;Patil et al, 2019;Wang et al, 1998;Olmi et al, 2021;Fortuna et al, 2012]. A considerable amount of literature has been published on the excitation control of power system.…”

Convergent and oscillatory solutions in infinite-dimensional synchronization systems

“…The class of synchronization systems is rather vast. It embraces phase-locked loops (PLL) [Best, 2003;Leonov and Kuznetsov, 2014;Leonov et al, 2015], communication systems [Solodov and Solodova, 1980], networks with periodic couplings [Dörfler and Bullo, 2014], electrical machines [Stoker, 1950;Halanay, 1975;Olmi et al, 2021]. vibrational units (rotors) [Blekhman, 2000;Sperling et al, 1997;Tomchina, 2020;Tomchina, 2022;Andrievsky and Boikov, 2021], biological systems [S. Somolinos, 1978;Burton, 1985].…”