2,172 research outputs found
Energy-based Stabilization of Network Flows in Multi-machine Power Systems
This paper considers the network flow stabilization problem in power systems
and adopts an output regulation viewpoint. Building upon the structure of a
heterogeneous port-Hamiltonian model, we integrate network aspects and develop
a systematic control design procedure. First, the passive output is selected to
encode two objectives: consensus in angular velocity and constant excitation
current. Second, the non-Euclidean nature of the angle variable reveals the
geometry of a suitable target set, which is compact and attractive for the zero
dynamics. On this set, circuit-theoretic aspects come into play, giving rise to
a network potential function which relates the electrical circuit variables to
the machine rotor angles. As it turns out, this energy function is convex in
the edge variables, concave in the node variables and, most importantly, can be
optimized via an intrinsic gradient flow, with its global minimum corresponding
to angle synchronization. The third step consists of explicitly deriving the
steady-state-inducing control action by further refining this sequence of
control-invariant sets. Analogously to solving the so called regulator
equations, we obtain an impedance-based network flow map leading to novel error
coordinates and a shifted energy function. The final step amounts to decoupling
the rotor current dynamics via feedback-linearziation resulting in a cascade
which is used to construct an energy-based controller hierarchically.Comment: In preparation for MTNS 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
Multi-Window Weaving Frames
In this work we deal with the recently introduced concept of weaving frames.
We extend the concept to include multi-window frames and present the first
sufficient criteria for a family of multi-window Gabor frames to be woven. We
give a Hilbert space norm criterion and a pointwise criterion in phase space.
The key ingredient are localization operators in phase space and we give
examples of woven multi-window Gabor frames consisting of Hermite functions.Comment: 9 pages, conference paper: SampTA 201
A Phase Vocoder based on Nonstationary Gabor Frames
We propose a new algorithm for time stretching music signals based on the
theory of nonstationary Gabor frames (NSGFs). The algorithm extends the
techniques of the classical phase vocoder (PV) by incorporating adaptive
time-frequency (TF) representations and adaptive phase locking. The adaptive TF
representations imply good time resolution for the onsets of attack transients
and good frequency resolution for the sinusoidal components. We estimate the
phase values only at peak channels and the remaining phases are then locked to
the values of the peaks in an adaptive manner. During attack transients we keep
the stretch factor equal to one and we propose a new strategy for determining
which channels are relevant for reinitializing the corresponding phase values.
In contrast to previously published algorithms we use a non-uniform NSGF to
obtain a low redundancy of the corresponding TF representation. We show that
with just three times as many TF coefficients as signal samples, artifacts such
as phasiness and transient smearing can be greatly reduced compared to the
classical PV. The proposed algorithm is tested on both synthetic and real world
signals and compared with state of the art algorithms in a reproducible manner.Comment: 10 pages, 6 figure
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