Doctoral Dissertations


"Randomness in physical systems is usually ultimately attributed to external noise. Dynamic systems are driven not only by our own control inputs, but also disturbances which cannot be modeled deterministically. A linear system model is justifiable for a number of reasons, often such a model is adequate for the purpose at hand, and when non-linearities do exist, the typical engineering approach is to linearize about some nominal point or trajectory to achieve a perturbation or error model. However, in order for the resulting model to fit data generated by the real world, these disturbances need to be modeled stochastically. The traditional approach to power system stability studies is based on a deterministic transient energy function. However, such a deterministic analysis does not provide a realistic evaluation of system transient performance where the intermittency and variability of energy production associated with any renewable technology needs to be reflected and accurately modeled in system stability and performance assessments. In the papers that make up this dissertation, the random variations of system components is modeled by a Gaussian stationary process (white noise) with constant spectral density and the effect on the stability of the power system is examined. The stochastic perturbation of power loads has a significant effect on the transient stability of the power system. The load behavior is found in the random effect of system parameter arising from cumulative impacts of a number of independent events. The random load characteristic is considered to develop a structure-preserved power system transient stability using stochastic energy functions. The stochastic power system stability was analyzed both through the stochastic Lyapunov function and numerically using the Euler- Maruyama method"--Abstract, page iv.


Crow, Mariesa

Committee Member(s)

Chowdhury, Badrul H.
Ferdowsi, Mehdi
Dagli, Cihan H., 1949-
Sarangapani, Jagannathan, 1965-


Electrical and Computer Engineering

Degree Name

Ph. D. in Electrical Engineering


Missouri University of Science and Technology

Publication Date

Fall 2011

Journal article titles appearing in thesis/dissertation

  • Analysis of the impact of plug-in hybrid electric vehicles on power system stability
  • Analysis of power system transient stability using stochastic energy functions
  • Structure-preserved power system transient stability using stochastic energy functions


xii, 58 pages

Note about bibliography

Includes bibliographical references.


© 2011 Theresa Avosuahi Odun-Ayo, All rights reserved.

Document Type

Dissertation - Open Access

File Type




Subject Headings

Electric power system stability
Random noise theory
Stochastic analysis
Transients (Electricity)

Thesis Number

T 9902

Print OCLC #


Electronic OCLC #