University of Illinois Urbana-Champaign

Stochastic stability of power systems

Chikkerur, Vishal

Content Files
CHIKKERUR-DISSERTATION-2017.pdf

Permalink

https://hdl.handle.net/2142/99108

Description

Title
Stochastic stability of power systems
Author(s)
Chikkerur, Vishal
Issue Date
2017-07-14
Director of Research (if dissertation) or Advisor (if thesis)
Namachchivaya, Navaratnam Sri
Doctoral Committee Chair(s)
Sauer, Peter
Committee Member(s)
  • Conway, Bruce
  • Rapti, Zoi
Department of Study
Aerospace Engineering
Discipline
Aerospace Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Date of Ingest
2018-03-02T19:59:42Z
Keyword(s)
  • Stochastic
  • Stability
  • Estimation
  • Filtering
  • Resonance
  • Probability theory
  • Large deviations
  • Power systems
  • Lyapunov exponent
Abstract
"The utilization of synchronous machines in electric power systems as central generators and in electric drive applications as high-performance motors makes their modeling, simulation, state estimation, and analysis important in many scenarios; however, the multiple time-scale nature of the associated dynamic model, coupled with the presence of noise, complicates traditional methods. We approach the problem in this work through dimensional reduction in nonlinear filtering. This can be understood as a combination of filtering and averaging. Recent advances in the development of particle filters are applied to the Single Machine Infinite Bus (SMIB) seven dimensional model of a synchronous generator and to the specific problem of a line contingency. Excellent system tracking coupled with significant computational savings are achieved. In addition to system tracking, the traditional deterministic methods currently used in industry to quantify system stability are looked at from a Random Dynamical Systems (RDS) perspective. The maximal Lyapunov exponent (MLE) for a two dimensional model of a synchronous generator is calculated analytically to account for multiple white noise forcing elements. The ``real"" or colored noise case is also considered and an analytic expression derived. Further, the presence of resonant zones and their stability for a two dimensional swing model is established. The stability of these zones is looked at from the Large Deviations perspective and is facilitated through an understanding of the Mean Exit Time. Numerical procedures are developed to calculate the Most Probable Exit Path along which; rare, long time transitions take place."
Graduation Semester
2017-08
Type of Resource
text
Permalink
http://hdl.handle.net/2142/99108
Copyright and License Information
Copyright 2017 Vishal Chikkerur

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