Title :
A real normal form approach to the study of resonant power systems
Author :
Betancourt, R.J. ; Barocio, E. ; Arroyo, J. ; Messina, A.R.
Author_Institution :
Electr. Eng. Program, Cinvestav, Guadalajara, Mexico
Abstract :
A novel formulation for computing real normal forms of resonant vector fields is presented. Making use of a special real-valued nonlinear transformation of coordinates in physical space, a general technique for the computation of real normal forms is proposed. Symbolic and numerical calculations are presented to illustrate the effectiveness and applicability of the proposed analytic technique.
Keywords :
numerical analysis; power systems; resonance; symbol manipulation; real normal form approach; resonant power systems; resonant vector fields; special real-valued nonlinear coordinates transformation; symbolic calculation; Eigenvalues and eigenfunctions; Helium; Nonlinear systems; Physics computing; Power system analysis computing; Power system dynamics; Power system stability; Power systems; Resonance; Vectors; Nonlinear systems; power system dynamic stability; resonance;
Journal_Title :
Power Systems, IEEE Transactions on
DOI :
10.1109/TPWRS.2005.860940