Title page for ETD etd-12192011-022714

Type of Document Master's Thesis
Author Vance, Katelynn Atkins
Author's Email Address kateavance@gmail.com
URN etd-12192011-022714
Title Robust Control for Inter-area Oscillations
Degree Master of Science
Department Electrical and Computer Engineering
Advisory Committee
Advisor Name Title
Thorp, James S. Committee Chair
Centeno, Virgilio A. Committee Member
De La Ree Lopez, Jaime Committee Member
  • Polytopic Model
  • Adaptive Selection
  • Convex Combination
  • Inter-area Oscillations
  • Linear Matrix Inequality (LMI) Control
Date of Defense 2011-12-06
Availability unrestricted
In order to reduce the detrimental effects of inter-area oscillations on system stability, it is possible to use Linear Matrix Inequalities (LMIs) to design a multi-objective state feedback. The LMI optimization finds a control law that stabilizes several contingencies simultaneously using a polytopic model of the system. However, the number of cases to be considered is limited by computational complexity which increases the chances of infeasibility. In order to circumvent this problem, this paper presents a method for solving multiple polytopic problems having a common base case. The proposed algorithm determines the necessary polytopic control for a particular contingency and classifies the data as belonging to that polytopic domain. The technique has been tested on an 8-machine, 13 bus, system and has been found to give satisfactory results.
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