Nonlinear Stability Measures of Synchronised States in a Power Grid Model
Journal of Nonlinear Science,
Journal Year:
2025,
Volume and Issue:
35(2)
Published: Feb. 25, 2025
Language: Английский
Phase and gain stability for adaptive dynamical networks
Chaos An Interdisciplinary Journal of Nonlinear Science,
Journal Year:
2025,
Volume and Issue:
35(5)
Published: May 1, 2025
In
adaptive
dynamical
networks,
the
dynamics
of
nodes
and
edges
influence
each
other.
We
show
that
we
can
treat
such
systems
as
a
closed
feedback
loop
between
edge
node
dynamics.
Using
recent
advances
on
stability
from
control
theory,
derive
local,
sufficient
conditions
for
steady
states
to
be
linearly
stable.
These
are
local
in
sense
they
written
entirely
terms
(linearized)
behavior
nodes.
apply
these
Kuramoto
model
with
inertia
an
form
model.
For
former,
recover
classic
result,
latter,
our
match
necessary
where
latter
available,
thus
completely
settling
question
linear
this
setting.
The
method
introduce
readily
applied
vast
class
systems.
It
enables
straightforward
evaluation
highly
heterogeneous
Language: Английский
Modeling Hybrid AC/DC Power Systems With the Complex Frequency Concept
IEEE Transactions on Power Systems,
Journal Year:
2023,
Volume and Issue:
39(4), P. 6004 - 6013
Published: Dec. 5, 2023
The
concept
of
complex
frequency
has
been
recently
introduced
on
the
IEEE
Transactions
Power
Systems
to
study
bus
voltage
variations
in
magnitude
and
their
link
with
power
injections
a
system.
In
this
paper,
is
applied
time-varying
series
connections,
namely,
RLC
dynamic
branches,
regulating
transformers
AC/DC
converters.
proposed
modeling
approach
allows
deriving
an
explicit
expression
for
certain
as
linear
combination
three
elements:
net
current
injected
by
devices
connected
bus,
adjacent
voltages,
branches.
formulation
unifies
between
dynamics
AC,
DC,
well
hybrid
systems.
A
variety
static
examples
are
presented
show
potential
formulation.
Relevant
applications
outlined.
Language: Английский