136 research outputs found
Conditions for stability of droop-controlled inverter-based microgrids
We consider the problem of stability analysis for droop-controlled inverter-based microgrids with meshed topologies. The inverter models include variable frequencies as well as voltage amplitudes. Conditions on the tuning gains and setpoints for frequency and voltage stability, together with desired active power sharing, are derived in the paper. First, we prove that for all practical choices of these parameters global boundedness of trajectories is ensured. Subsequently, assuming the microgrid is lossless, a port-Hamiltonian description is derived, from which sufficient conditions for stability are given. Finally, we propose for generic lossy microgrids a design criterion for the controller gains and setpoints such that a desired steady-state active power distribution is achieved. The analysis is validated via simulation on a microgrid based on the CIGRE (Conseil International des Grands RĂ©seaux Electriques) benchmark medium voltage distribution network
Stability and Frequency Regulation of Inverters with Capacitive Inertia
In this paper, we address the problem of stability and frequency regulation
of a recently proposed inverter. In this type of inverter, the DC-side
capacitor emulates the inertia of a synchronous generator. First, we remodel
the dynamics from the electrical power perspective. Second, using this model,
we show that the system is stable if connected to a constant power load, and
the frequency can be regulated by a suitable choice of the controller. Next,
and as the main focus of this paper, we analyze the stability of a network of
these inverters, and show that frequency regulation can be achieved by using an
appropriate controller design. Finally, a numerical example is provided which
illustrates the effectiveness of the method
A scalable line-independent design algorithm for voltage and frequency control in AC islanded microgrids
We propose a decentralized control synthesis procedure for stabilizing
voltage and frequency in AC Islanded microGrids (ImGs) composed of Distributed
Generation Units (DGUs) and loads interconnected through power lines. The
presented approach enables Plug-and-Play (PnP) operations, meaning that DGUs
can be added or removed without compromising the overall ImG stability. The
main feature of our approach is that the proposed design algorithm is
line-independent. This implies that (i) the synthesis of each local controller
requires only the parameters of the corresponding DGU and not the model of
power lines connecting neighboring DGUs, and (ii) whenever a new DGU is plugged
in, DGUs physically coupled with it do not have to retune their regulators
because of the new power line connected to them. Moreover, we formally prove
that stabilizing local controllers can be always computed, independently of the
electrical parameters. Theoretical results are validated by simulating in PSCAD
the behavior of a 10-DGUs ImG
Adaptive voltage regulation of an inverter-based power distribution network with a class of droop controllers
The voltage received by each customer connected to a power distribution line
with local controllers (inverters) is regulated to be within a desired margin
through a class of slope-restricted controllers, known conventionally as
\emph{droop} controllers. We adapt the design of the droop controllers
according to the known bounds of the net power consumption of each customer in
each observation time window. A sufficient condition for voltage regulation is
provided for each time window, which guides the design of the droop
controllers, depending on the properties of the distribution line (line
impedances) and the upper bound of all the customers' power consumption during
each time window. The resulting adaptive scheme is verified on a benchmark
model of a European low-voltage network by the CIGRE task force.Comment: This work has been accepted to IFAC World Congress 2020 for
publication under a Creative Commons Licence CC-BY-NC-N
- …