Artigo Completo - Open Access.

# STUDY OF THE DYNAMIC PERFORMANCES OF THE SWING EQUATION OF A POWER SYSTEM

### Rubio, Felipe Alves; Chavarette, Fábio Roberto;

##### Artigo Completo:

One goal of Applied Mathematics is the search for solutions to the contemporary society. Indeed, a product that incorporates the most advanced technologies requires that there innovative solutions in all segments involved in its development, for example, in use innovative materials, in production and logistics transportation. In each of those areas, the professionals can use the modelling as an analysis tool. The dynamic systems can be studied in many areas as, for example, in the study of biological systems, electricity, economics, mechanics and many others. Within the theory of dynamical systems, the study of nonlinear theory has gained much prominence, because the existing theoretical foundation, along with the models already developed, can explain the behavior of large numbers of examples. The system will be addressed is the swing equation of an energy system, and an electric energy system the set of equipment that operate in a coordinated manner in order to generate, transmit and supply electricity. The energy swing is a systematic exposition of the flows and transformations of energy in a system. The theoretical basis for an energy balance is the first law of thermodynamics according to which energy can’t be created or destroyed, only changed in form. Energy sources or energy waves are, therefore, the inputs and outputs of the system under observation. The objective of this work is to study the stability of the proposed system and its equilibrium points through the control parameter D, which represents the damping of the system, verified so the conditions of stability and instability of the swing equation of a power system, thinking of getting a better control of the system.

Palavras-chave: Sistema de energia, estabilidade, caos, Power system, stability, chaos,

Palavras-chave: ,

DOI: 10.5151/mathpro-cnmai-0033

##### Referências bibliográficas
• [1] Mazzuco, M. M. 2013. Introdução aos Balanços de Massa e Energia. Notas de Aula. 111 p. Monteiro, L. H. A. 201 Sistemas Dinâmicos, São Paulo, Brazil: Ed. Livraria da Física. 670 p.
• [2] Nayfeh, A., Balachandran, B., 2008. Applied Nonlinear Dynamics: Analytical, Computational and Experimental Methods. New York: Ed. John Wiley Andamp; Sons, 691p.
• [3] Nayfeh, M. A., Hamdan, A. M. A., Nayfeh A. H., 1990. Chaos and Instability in a Power System – Primary Resonant Case, Nonlinear Dynamics, (1), 313-339.
• [4] Rao, S. S. 2008. Vibrações Mecânicas. São Paulo, Brazil: Ed. Pearson Prentice Hall.. 424 p.
• [5] Wolf, A., Swift, J. B., Swinney, H. L., Vastano, J. A., 198 Determining Lyapunov Exponents from a Time Series.Physica D, (16), 285-317.
##### Como citar:

Rubio, Felipe Alves; Chavarette, Fábio Roberto; "ESTUDO DO COMPORTAMENTO DINÂMICO DA EQUAÇÃO DO BALANÇO DE UM SISTEMA DE ENERGIA", p. 169-175 . In: Anais do Congresso Nacional de Matemática Aplicada à Indústria [= Blucher Mathematical Proceedings, v.1, n.1]. São Paulo: Blucher, 2015.
ISSN em b-reve, DOI 10.5151/mathpro-cnmai-0033

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