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Related Concept Videos

Multimachine Stability01:25

Multimachine Stability

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:
Distributed Loads: Problem Solving01:21

Distributed Loads: Problem Solving

Beams are structural elements commonly employed in engineering applications requiring different load-carrying capacities. The first step in analyzing a beam under a distributed load is to simplify the problem by dividing the load into smaller regions, which allows one to consider each region separately and calculate the magnitude of the equivalent resultant load acting on each portion of the beam. The magnitude of the equivalent resultant load for each region can be determined by calculating...
Scale-Up Processes01:14

Scale-Up Processes

The scale-up of microbial fermentation processes is essential in industrial biotechnology, allowing the transition from laboratory-scale experiments to commercial-scale production while aiming to maintain product yield and quality. This process requires meticulous adjustment of equipment design, process parameters, and contamination control strategies to accommodate increasing culture volumes.At the laboratory scale, cultures are typically maintained in 1 to 10-liter glass or autoclavable...
Distributed Loads01:19

Distributed Loads

Distributed loads are a common type of load that engineers and scientists encounter in various practical situations. Distributed loads often refer to a type of load spread over a surface or a structure and can be modeled as continuous force per unit area.
For example, consider a bookshelf filled with books stacked vertically adjacent to each other. The weight of the books is evenly distributed over the length of the shelf. As a result, the pressure at different locations on the surface of the...
Cluster Sampling Method01:20

Cluster Sampling Method

Appropriate sampling methods ensure that samples are drawn without bias and accurately represent the population. Because measuring the entire population in a study is not practical, researchers use samples to represent the population of interest.
To choose a cluster sample, divide the population into clusters (groups) and then randomly select some of the clusters. All the members from these clusters are in the cluster sample. For example, if you randomly sample four departments from your...
Relation Between the Distributed Load and Shear01:23

Relation Between the Distributed Load and Shear

Understanding the relationship between the distributed load and shear force in structural analysis is crucial for analyzing beams subjected to various loading conditions. Consider the case of a beam experiencing a distributed load, two concentrated loads, and a couple moment.

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Related Experiment Video

Updated: Jun 26, 2026

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
05:30

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Published on: September 8, 2023

Synchronization-based scalability of complex clustered networks.

Xiaojuan Ma1, Liang Huang, Ying-Cheng Lai

  • 1Department of Electrical Engineering, Arizona State University, Tempe, Arizona 85287, USA.

Chaos (Woodbury, N.Y.)
|January 7, 2009
PubMed
Summary
This summary is machine-generated.

Synchronous dynamics in complex clustered networks can be maintained or enhanced as network size increases. However, this often leads to a loss of the clustered topology, suggesting large, synchronized networks may not be clustered.

Related Experiment Videos

Last Updated: Jun 26, 2026

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
05:30

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Published on: September 8, 2023

Area of Science:

  • Network science
  • Complex systems dynamics
  • Statistical physics

Background:

  • Complex clustered networks are prevalent across various systems (biological, social, technological).
  • Synchronous dynamics on these networks are of increasing research interest.
  • Understanding how network properties influence synchronization is crucial.

Purpose of the Study:

  • To investigate the system-size dependence of synchronizability in complex clustered networks.
  • To determine the trade-offs between network size, synchronizability, and clustered topology.

Main Methods:

  • Theoretical analysis of network properties.
  • Numerical computations to simulate network dynamics.
  • Examination of system-size effects on synchronizability and topology.

Main Results:

  • Synchronizability can be maintained or enhanced with increasing network size.
  • This enhancement comes at the cost of deteriorating the network's clustered characteristics.
  • A trade-off exists between maintaining clustered topology and achieving high synchronizability.

Conclusions:

  • For large networks where synchronization is functionally important, a clustered topology is unlikely.
  • The findings have implications for designing and understanding large-scale complex systems.
  • Network topology significantly impacts the potential for system-wide synchronization.