• Corpus ID: 51683974

Simulating the stochastic dynamics and cascade failure of power networks

@article{Matthews2018SimulatingTS,
  title={Simulating the stochastic dynamics and cascade failure of power networks},
  author={Charles Matthews and Bradly C. Stadie and Jonathan Weare and Mihai Anitescu and Christopher L. DeMarco},
  journal={arXiv: Physics and Society},
  year={2018}
}
For large-scale power networks, the failure of particular transmission lines can offload power to other lines and cause self-protection trips to activate, instigating a cascade of line failures. In extreme cases, this can bring down the entire network. Learning where the vulnerabilities are and the expected timescales for which failures are likely is an active area of research. In this article we present a novel stochastic dynamics model for a large-scale power network along with a framework… 
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References

SHOWING 1-10 OF 21 REFERENCES

A bi-stable branch model for energy-based cascading failure analysis in power systems

In an electric power network, initial loss of a transmission line may create transient overloads in other lines, inducing cascading failures, and possibly system wide outage. Full time domain

A phase transition model for cascading network failure

We consider a special structure of dynamic system model that admits a very tractable inclusion of element failure phenomena, for which a global system Lyapunov function can be constructed. This class

Power grid vulnerability measures to cascading overload failures

This paper proposes a novel power grid vulnerability measure called the minimum safety time after 1 line trip, defined based on the stochastic cascading failure model, and compares its performance with several other vulnerability measures through a set of statistical analysis.

A New Dynamic Performance Model of Motor Stalling and FIDVR for Smart Grid Monitoring/Planning

A dynamic performance model is developed for motor stalling and over heat thermal tripping that can be constructed with an energy-like Lyapunov function, and can be incorporated as part of power system dynamic cascading model.

Survey of tools for risk assessment of cascading outages

This paper is a result of ongoing activity carried out by Understanding, Prediction, Mitigation and Restoration of Cascading Failures Task Force under IEEE Computer Analytical Methods Subcommittee

Design Considerations for Frequency Responsive Grid FriendlyTM Appliances

  • N. LuD. Hammerstrom
  • Engineering
    2005/2006 IEEE/PES Transmission and Distribution Conference and Exhibition
  • 2006
This paper addresses design considerations for frequency responsive grid friendlytrade appliances (FR-GFAs), which can turn on/off based on frequency signals and make selective low-frequency load

A Complete Recipe for Stochastic Gradient MCMC

This paper provides a general recipe for constructing MCMC samplers--including stochastic gradient versions--based on continuous Markov processes specified via two matrices, and uses the recipe to straightforwardly propose a new state-adaptive sampler: stochastics gradient Riemann Hamiltonian Monte Carlo (SGRHMC).

A generalized parallel replica dynamics

Stochastic Processes and Applications: Diffusion Processes, the Fokker-Planck and Langevin Equations

Stochastic Processes.- Diffusion Processes.- Introduction to Stochastic Differential Equations.- The Fokker-Planck Equation.- Modelling with Stochastic Differential Equations.- The Langevin

[EPUB] Stochastic Processes And Applications Diffusion Processes The Fokker Planck And Langevin Equations Texts In Applied Mathematics

  • Mathematics
  • 2020
Getting the books stochastic processes and applications diffusion processes the fokker planck and langevin equations texts in applied mathematics now is not type of inspiring means. You could not