Luís H. Jus, Aghatta C. Moreira, Melissa O. Santos, Thainá G. Pereira, Afonso J. Prado, Elmer M. Gennaro, and José P. Filho
Eigenvalues and eigenfuctions, Linear systems, Numerical analysis, Power system transient simulation, State space methods
Models based on lumped elements are simple ones to represent systems composed by distributed parameters when models with lumped elements use a lot of these elements. However, such mentioned models usually present numerical problems because it is subject to the influence of numerical oscillations. When introducing new elements, such as damping resistors, in the mentioned models, the numerical oscillations can be minimized. The introduction of new elements increases the computational time for the analysis and simulations with the modified model. Thus, by applying π circuit cascades, simulations with abrupt changes in voltage or current are carried out using two different structures of π circuits with the purpose to achieve a similar accuracy and less computational time than those obtained with application damping resistor in every π circuit units.
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