3,392 research outputs found
On the Properties of the Compound Nodal Admittance Matrix of Polyphase Power Systems
Most techniques for power system analysis model the grid by exact electrical
circuits. For instance, in power flow study, state estimation, and voltage
stability assessment, the use of admittance parameters (i.e., the nodal
admittance matrix) and hybrid parameters is common. Moreover, network reduction
techniques (e.g., Kron reduction) are often applied to decrease the size of
large grid models (i.e., with hundreds or thousands of state variables),
thereby alleviating the computational burden. However, researchers normally
disregard the fact that the applicability of these methods is not generally
guaranteed. In reality, the nodal admittance must satisfy certain properties in
order for hybrid parameters to exist and Kron reduction to be feasible.
Recently, this problem was solved for the particular cases of monophase and
balanced triphase grids. This paper investigates the general case of unbalanced
polyphase grids. Firstly, conditions determining the rank of the so-called
compound nodal admittance matrix and its diagonal subblocks are deduced from
the characteristics of the electrical components and the network graph.
Secondly, the implications of these findings concerning the feasibility of Kron
reduction and the existence of hybrid parameters are discussed. In this regard,
this paper provides a rigorous theoretical foundation for various applications
in power system analysi
On the Properties of the Power Systems Nodal Admittance Matrix
This letter provides conditions determining the rank of the nodal admittance
matrix, and arbitrary block partitions of it, for connected AC power networks
with complex admittances. Furthermore, some implications of these properties
concerning Kron Reduction and Hybrid Network Parameters are outlined.Comment: Index Terms: Nodal Admittance Matrix, Rank, Block Form, Network
Partition, Kron Reduction, Hybrid Network Parameter
A Generalized Index for Static Voltage Stability of Unbalanced Polyphase Power Systems including Th\'evenin Equivalents and Polynomial Models
This paper proposes a Voltage Stability Index (VSI) suitable for unbalanced
polyphase power systems. To this end, the grid is represented by a polyphase
multiport network model (i.e., compound hybrid parameters), and the aggregate
behavior of the devices in each node by Th\'evenin Equivalents (TEs) and
Polynomial Models (PMs), respectively. The proposed VSI is a generalization of
the known L-index, which is achieved through the use of compound electrical
parameters, and the incorporation of TEs and PMs into its formal definition.
Notably, the proposed VSI can handle unbalanced polyphase power systems,
explicitly accounts for voltage-dependent behavior (represented by PMs), and is
computationally inexpensive. These features are valuable for the operation of
both transmission and distribution systems. Specifically, the ability to handle
the unbalanced polyphase case is of particular value for distribution systems.
In this context, it is proven that the compound hybrid parameters required for
the calculation of the VSI do exist under practical conditions (i.e., for lossy
grids). The proposed VSI is validated against state-of-the-art methods for
voltage stability assessment using a benchmark system which is based on the
IEEE 34-node feeder
Anelastic relaxation process of polaronic origin in La{2-x}Sr{x}CuO{4}: interaction between the charge stripes and pinning centers
The evolution of an anelastic relaxation process occurring around 80 K in
La{2-x}Sr{x}CuO{4} at a measuring frequency of ~1 kHz has been followed from x
= 0.0075 to the overdoped region, x = 0.2, where it disappears. The dependence
of the peak intensity on doping is consistent with a polaronic mechanism,
identified with the disordered charge stripes overcoming pinning centers. A
marked decrease of the peak amplitude occurs at x > 0.045, the same doping
range where a change of the stripe order from parallel to diagonal with respect
to the Cu-O bonds has been observed by neutron diffraction. Both the energy
barrier and peak amplitude also exhibit a rise near x = 1/8.Comment: 5 pages, 4 figure
PMU-Based ROCOF Measurements: Uncertainty Limits and Metrological Significance in Power System Applications
In modern power systems, the Rate-of-Change-of-Frequency (ROCOF) may be
largely employed in Wide Area Monitoring, Protection and Control (WAMPAC)
applications. However, a standard approach towards ROCOF measurements is still
missing. In this paper, we investigate the feasibility of Phasor Measurement
Units (PMUs) deployment in ROCOF-based applications, with a specific focus on
Under-Frequency Load-Shedding (UFLS). For this analysis, we select three
state-of-the-art window-based synchrophasor estimation algorithms and compare
different signal models, ROCOF estimation techniques and window lengths in
datasets inspired by real-world acquisitions. In this sense, we are able to
carry out a sensitivity analysis of the behavior of a PMU-based UFLS control
scheme. Based on the proposed results, PMUs prove to be accurate ROCOF meters,
as long as the harmonic and inter-harmonic distortion within the measurement
pass-bandwidth is scarce. In the presence of transient events, the
synchrophasor model looses its appropriateness as the signal energy spreads
over the entire spectrum and cannot be approximated as a sequence of
narrow-band components. Finally, we validate the actual feasibility of
PMU-based UFLS in a real-time simulated scenario where we compare two different
ROCOF estimation techniques with a frequency-based control scheme and we show
their impact on the successful grid restoration.Comment: Manuscript IM-18-20133R. Accepted for publication on IEEE
Transactions on Instrumentation and Measurement (acceptance date: 9 March
2019
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