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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:
Network Function of a Circuit01:25

Network Function of a Circuit

Frequency response analysis in electrical circuits provides vital insights into a circuit's behavior as the frequency of the input signal changes. The transfer function, a mathematical tool, is instrumental in understanding this behavior. It defines the relationship between phasor output and input and comes in four types: voltage gain, current gain, transfer impedance, and transfer admittance. The critical components of the transfer function are the poles and zeros.
Sequence Networks of Rotating Machines01:24

Sequence Networks of Rotating Machines

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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Reinforcement Schedules01:24

Reinforcement Schedules

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Related Experiment Video

Updated: Jun 22, 2026

Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline
10:44

Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline

Published on: December 7, 2021

Dynamics in scheduled networks.

Massimiliano Zanin1, Lucas Lacasa, Miguel Cea

  • 1Innaxis Foundation and Research Institute, Velazquez 157, 28002 Madrid, Spain. mzanin@innaxis.org

Chaos (Woodbury, N.Y.)
|July 2, 2009
PubMed
Summary
This summary is machine-generated.

This study introduces a scheduled network formalism to model dynamic systems, accounting for time restrictions often ignored in static network analysis. The approach enhances the understanding of complex systems like air transportation networks.

Related Experiment Videos

Last Updated: Jun 22, 2026

Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline
10:44

Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline

Published on: December 7, 2021

Area of Science:

  • Complex Systems Science
  • Network Theory
  • Data Science

Background:

  • Traditional complex network theories often oversimplify real-world systems by neglecting temporal dynamics and using static network structures.
  • Real-world networks, such as transportation or biological systems, are inherently dynamic and evolve over time due to various external factors.

Purpose of the Study:

  • To introduce a novel "scheduled network formalism" that incorporates time restrictions into network analysis.
  • To address the limitations of static network approaches by modeling the dynamical modifications of complex systems.
  • To analyze the efficiency of the air transportation network using this new formalism and real-world data.

Main Methods:

  • Development of a "scheduled network formalism" using an extended adjacency matrix that includes generic time restrictions.
  • Application of the formalism to the air transportation network using real-world data.
  • Analysis of network properties and efficiency under time-constrained conditions.

Main Results:

  • The scheduled network formalism effectively captures the temporal dynamics of complex systems.
  • Analysis of the air transportation network reveals insights into its efficiency when considering time-dependent connections.
  • The proposed formalism demonstrates applicability to various other complex systems.

Conclusions:

  • The scheduled network formalism provides a more realistic approach to studying complex systems by integrating temporal aspects.
  • This method offers a valuable tool for analyzing the efficiency and dynamics of time-varying networks.
  • The formalism has broad potential for application across diverse scientific domains studying dynamic networks.