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Related Concept Videos

Multimachine Stability01:25

Multimachine Stability

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Multimachine stability analysis is crucial for understanding the dynamics and stability of power systems with multiple synchronous machines. The objective is to solve the swing equations for a network of M machines connected to an N-bus power system.
In analyzing the system, the nodal equations represent the relationship between bus voltages, machine voltages, and machine currents. The nodal equation is given by:
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BIBO stability of continuous and discrete -time systems01:24

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System stability is a fundamental concept in signal processing, often assessed using convolution. For a system to be considered bounded-input bounded-output (BIBO) stable, any bounded input signal must produce a bounded output signal. A bounded input signal is one where the modulus does not exceed a certain constant at any point in time.
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Spin–Spin Coupling Constant: Overview01:08

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In bromoethane, the three methyl protons are coupled to the two methylene protons that are three bonds away. In accordance with the n+1 rule, the signal from the methyl protons is split into three peaks with 1:2:1 relative intensities. The methylene protons appear as a quartet, with the relative intensities of 1:3:3:1.
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A Y-connected synchronous generator, grounded through a neutral impedance, is designed to produce balanced internal phase voltages with only positive-sequence components. The generator's sequence networks include a source voltage that is exclusively in the positive-sequence network. The sequence components of line-to-ground voltages at the generator terminals illustrate this configuration.
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Spin–Spin Coupling: One-Bond Coupling01:17

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Coupling interactions are strongest between NMR-active nuclei bonded to each other, where spin information can be transmitted directly through the pair of bonding electrons. While nuclei polarize their electrons to the opposite spins, the bonding electron pair has opposite spins. Configurations with antiparallel nuclear spins are expected to be lower in energy. When coupling makes antiparallel states more favorable, J is considered to have a positive value. The one-bond coupling constant, 1J,...
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Vicinal or three-bond coupling is commonly observed between protons attached to adjacent carbons. Here, nuclear spin information is primarily transferred via electron spin interactions between adjacent C‑H bond orbitals. This generally favors the antiparallel arrangement of spins, so 3J values are usually positive.
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Pinning synchronization control for stochastic multi-layer networks with coupling disturbance.

Shixiang Sun1, Tao Ren2, Yanjie Xu1

  • 1Software College, Northeastern University, Shenyang, Liaoning Province, 110169, China.

ISA Transactions
|November 3, 2021
PubMed
Summary

This study introduces a cost-effective pinning synchronization scheme for stochastic multi-layer networks. The proposed method ensures network synchronization despite disturbances and noise, validated by simulations.

Keywords:
Intra-layer disturbancePinning controlStochastic multi-layer networksSynchronization

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Area of Science:

  • Complex Networks
  • Control Theory
  • Stochastic Systems

Background:

  • Multi-layer networks are susceptible to intra-layer coupling disturbances and stochastic noise.
  • Achieving synchronization in these complex systems is crucial for their reliable operation.
  • Existing control methods may incur high costs, necessitating efficient alternatives.

Purpose of the Study:

  • To investigate a pinning synchronization scheme for stochastic multi-layer networks.
  • To propose a cost-effective pinning control strategy.
  • To establish sufficient conditions for achieving synchronization in these networks.

Main Methods:

  • Utilizing Lyapunov theory and stochastic analysis.
  • Formulating conditions for synchronization using Linear Matrix Inequalities (LMIs).
  • Designing a node selection scheme tailored to network structure.

Main Results:

  • Sufficient conditions for pinning synchronization were derived using LMIs.
  • A novel pinning control scheme was proposed to reduce control costs.
  • The effectiveness of the scheme was demonstrated through simulation examples.

Conclusions:

  • The developed pinning synchronization scheme is feasible and effective for stochastic multi-layer networks.
  • The proposed method offers a cost-efficient approach to network synchronization.
  • The study provides a robust framework for controlling complex networked systems.