4,587 research outputs found
A unifying energy-based approach to stability of power grids with market dynamics
In this paper a unifying energy-based approach is provided to the modeling
and stability analysis of power systems coupled with market dynamics. We
consider a standard model of the power network with a third-order model for the
synchronous generators involving voltage dynamics. By applying the primal-dual
gradient method to a social welfare optimization, a distributed dynamic pricing
algorithm is obtained, which can be naturally formulated in port-Hamiltonian
form. By interconnection with the physical model a closed-loop port-Hamiltonian
system is obtained, whose properties are exploited to prove asymptotic
stability to the set of optimal points. This result is extended to the case
that also general nodal power constraints are included into the social welfare
problem. Additionally, the case of line congestion and power transmission costs
in acyclic networks is covered. Finally, a dynamic pricing algorithm is
proposed that does not require knowledge about the power supply and demand.Comment: 11 pages, submitted to TAC, accepted. arXiv admin note: text overlap
with arXiv:1510.0542
Stabilization of structure-preserving power networks with market dynamics
This paper studies the problem of maximizing the social welfare while
stabilizing both the physical power network as well as the market dynamics. For
the physical power grid a third-order structure-preserving model is considered
involving both frequency and voltage dynamics. By applying the primal-dual
gradient method to the social welfare problem, a distributed dynamic pricing
algorithm in port-Hamiltonian form is obtained. After interconnection with the
physical system a closed-loop port-Hamiltonian system of differential-algebraic
equations is obtained, whose properties are exploited to prove local asymptotic
stability of the optimal points.Comment: IFAC World Congress 2017, accepted, 6 page
Models for the modern power grid
This article reviews different kinds of models for the electric power grid
that can be used to understand the modern power system, the smart grid. From
the physical network to abstract energy markets, we identify in the literature
different aspects that co-determine the spatio-temporal multilayer dynamics of
power system. We start our review by showing how the generation, transmission
and distribution characteristics of the traditional power grids are already
subject to complex behaviour appearing as a result of the the interplay between
dynamics of the nodes and topology, namely synchronisation and cascade effects.
When dealing with smart grids, the system complexity increases even more: on
top of the physical network of power lines and controllable sources of
electricity, the modernisation brings information networks, renewable
intermittent generation, market liberalisation, prosumers, among other aspects.
In this case, we forecast a dynamical co-evolution of the smart grid and other
kind of networked systems that cannot be understood isolated. This review
compiles recent results that model electric power grids as complex systems,
going beyond pure technological aspects. From this perspective, we then
indicate possible ways to incorporate the diverse co-evolving systems into the
smart grid model using, for example, network theory and multi-agent simulation.Comment: Submitted to EPJ-ST Power Grids, May 201
Gather-and-broadcast frequency control in power systems
We propose a novel frequency control approach in between centralized and
distributed architectures, that is a continuous-time feedback control version
of the dual decomposition optimization method. Specifically, a convex
combination of the frequency measurements is centrally aggregated, followed by
an integral control and a broadcast signal, which is then optimally allocated
at local generation units. We show that our gather-and-broadcast control
architecture comprises many previously proposed strategies as special cases. We
prove local asymptotic stability of the closed-loop equilibria of the
considered power system model, which is a nonlinear differential-algebraic
system that includes traditional generators, frequency-responsive devices, as
well as passive loads, where the sources are already equipped with primary
droop control. Our feedback control is designed such that the closed-loop
equilibria of the power system solve the optimal economic dispatch problem
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