Author details

Afonso José do Prado<sup>1</sup> \*, Luis Henrique Jus<sup>1</sup> , Melissa de Oliveira Santos1 , Elmer Mateus Gennaro<sup>1</sup> , André Alves Ferreira<sup>1</sup> , Thainá Guimarães Pereira<sup>1</sup> , Aghatta Cioqueta Moreira<sup>1</sup> , Juliana Semiramis Menzinger<sup>1</sup> , Caio Vinícius Colozzo Grilo<sup>1</sup> , Marinez Cargnin Stieler<sup>2</sup> and José Pissolato Filho<sup>3</sup>

\*Address all correspondence to: afonsojp@uol.com.br

1 Campus of São João da Boa Vista, São Paulo State University (UNESP), São João da Boa Vista, São Paulo State, Brazil

2 Campus of Tangará da Serra, The University of Mato Grosso State (UNEMAT), Tangará da Serra, Mato Grosso State, Brazil

3 The University of Campinas (UNICAMP), Campinas, São Paulo State, Brazil

### References

10. Conclusions

368 Emerging Waveguide Technology

Acknowledgements

Modifications on the classical structure of π circuits for modeling transmission lines are presented. These modified π circuits are applied to obtain a cascade that represents the analyzed transmission lines. Based on the electromagnetic basic concepts, very long circuits for power transmission and circuits for data transmission can be analyzed using the theoretical bases of the transmission lines. So, a numerical routine for simulating electromagnetic transient phenomena

In the proposed numerical routine, damping resistances for minimizing Gibbs' oscillations or numerical oscillations are included. These oscillations are caused by the numerical integration method applied to the solution of the linear system that describes the waveguide. Applying this proposed numerical routine, several results of simulations varying the number of π circuits, the kD factor, and the time step are obtained. These results are concentrated on three-

Based on the obtained results, it is observed that there are ranges of the model parameters adequate for the minimization of numerical oscillations that influence these results. The main model parameters that influence the minimization of numerical oscillations are the number of π circuits and the kD factor. The kD factor is applied to calculate the value of damping resis-

The authors would like to thank the financial support by FAPESP (The São Paulo Research Foundation). The following processes are related to the results shown in this chapter: 2015/ 21390-7, 2015/20590-2, 2015/20684-7, 2016/02559-3, 2017/05988-5, 2017/05995-1, and 2017/23430-1.

in waveguides (transmission lines for power systems or data transmission) is obtained.

Figure 26. Voltage peaks related to the kD factor and the number of π circuits for Δt = 200 ns.

dimensional graphics where the joint influence is shown.

tances included in each π circuit of the mentioned cascade.


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