Fast identification of oscillatory stability margin and damping margin using continuation of invariant subspaces with sensitivity

Author

Luo, Cheng ; Ajjarapu, Venkataramana

Author_Institution

Dept. of Electr. & Comput. Eng., Iowa State Univ., Ames, IA, USA

fYear

2008

fDate

28-30 Sept. 2008

Firstpage

1

Lastpage

7

Abstract

An improved continuation of invariant subspaces with sensitivity is proposed for fast identification of oscillatory stability margin and damping margin in power systems. Spectrum transformation based methods are introduced to efficiently calculate the critical eigenvalues of interest for initialization. The predictor-corrector method is applied to trace the movement of eigenvalues as power system parameter changes. Eigenvalue sensitivity is a by-product of the algorithm. From the sensitivity information, a step size control method is introduced to fast identify both the oscillatory stability margin and damping margin. The simulation results on New England 39-bus system are demonstrated in details.

Keywords

damping; eigenvalues and eigenfunctions; power system stability; predictor-corrector methods; damping margin; eigenvalues; fast identification; invariant subspaces; oscillatory stability margin; predictor-corrector method; sensitivity information; spectrum transformation; step size control; Bifurcation; Damping; Eigenvalues and eigenfunctions; Nonlinear equations; Power system analysis computing; Power system interconnection; Power system security; Power system simulation; Power system stability; Stability analysis; Cayley transform; Hopf bifurcation; Oscillatory stability margin; critical eigenvalues; damping margincontinuation of invariant subspaces; eigenvalue sensitivity; eigenvalue trajectory;

fLanguage

English

Publisher

ieee

Conference_Titel

Power Symposium, 2008. NAPS '08. 40th North American

Conference_Location

Calgary, AB

Print_ISBN

978-1-4244-4283-6

Type

conf

DOI

10.1109/NAPS.2008.5307359

Filename

5307359