Title :
Perturbations of weakly resonant power system electromechanical modes
Author :
Dobson, Ian ; Barocio, Emilio
Author_Institution :
Electr. & Comput. Eng. Dept., Univ. of Wisconsin, Madison, WI, USA
Abstract :
It is not uncommon for oscillatory electric power system modes to move close to a resonance in which eigenvalues coincide. In a weak resonance, the modes are decoupled and the eigenvalues do not interact. We analyze general perturbations of a weak resonance and find two distinct behaviors, including interactions near strong resonances in which the eigenvalues quickly change direction. The possible perturbations are illustrated with interactions between electromechanical modes in a 4-generator power system. Some of the interactions are similar to subsynchronous resonance and can lead to oscillatory instability.
Keywords :
bifurcation; eigenvalues and eigenfunctions; oscillations; power system dynamic stability; subsynchronous resonance; 4-generator power system; Hopf bifurcation; eigenvalues; oscillatory electric power system; oscillatory instability; perturbation analysis; power system dynamic stability; resonant power system electromechanical modes; subsynchronous resonance; Eigenvalues and eigenfunctions; Frequency; Power system analysis computing; Power system dynamics; Power system modeling; Power system security; Power system stability; Power system transients; Power systems; Resonance;
Journal_Title :
Power Systems, IEEE Transactions on
DOI :
10.1109/TPWRS.2004.841242
