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Título del libro: 2007 Ieee Lausanne Powertech, Proceedings
Título del capítulo: A comparative analysis of methodologies for the representation of nonlinear oscillations in dynamic systems

Autores UNAM:
CLAUDIO RUBEN FUERTE ESQUIVEL;
Autores externos:

Idioma:

Año de publicación:
2007
Palabras clave:

Computer networks; Difference equations; Differential equations; Differentiation (calculus); Dynamic analysis; Dynamical systems; Electric network analysis; Electric power systems; Electric power transmission networks; Motion estimation; Nonlinear systems; Numerical methods; Ordinary differential equations; Oscillators (mechanical); Power transmission; Schrodinger equation; Non-linear oscillations; Power systems; Nonlinear equations


Resumen:

Nonlinear oscillations in power systems have been extensively studied over the last years, to analyze and to determine their effects on the network. For that purpose, and based on analytical methodologies, normal forms of vector fields and modal series have been developed as a numerical tool, which allows the dynamic analysis of nonlinear systems. In this work, both methods are applied to analyze oscillations in two nonlinear systems. Observed differences between both methods are pointed out mainly those introduced by wrong selection of initial conditions. Time domain responses of a dynamical system used as a benchmark are analyzed in order to show this situation. Besides, a nine bus, three machines system is simulated to compare both nonlinear methodologies with respect to the numerical solution obtained with the direct solution of ordinary differential equations. The main differences observed between both methodologies when the power system is operated under a small perturbation and stress conditions are remarked. ©2007 IEEE.


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