Advertisement

Sensitivity Analysis for Transient Response of the Transmission Line Network

  • Jianhua Yin
  • Xiaoke Chen
  • Hang LiangEmail author
  • Jinquan Zhao
  • Jing Xu
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 1075)

Abstract

The transient response sensitivity analysis of the transmission line is a new hotspot problem in transmission line problems. In this paper, a sensitivity analysis method based on fast Fourier transform is proposed in the transient response sensitivity analysis of the transmission line network. The method firstly establishes the circuit equation of the whole transmission line network characteristic, and transforms the partial differential equation in the time domain into the ordinary differential equation in the frequency domain by Fourier transform. Then we find the derivative of a certain distribution parameter of the transmission line by the ordinary differential equation. The network transient response sensitivity problem is transformed into solving the transient response of the transmission line network and the partial derivative of the network parameter matrix to the circuit parameters, which greatly simplifies the analysis of the transient response sensitivity of the transmission line network, and the sensitivity analysis of the transient response of any node of the transmission line network to any network parameters is realized. The method does not need to decouple the coupled transmission line, and can accurately and quickly calculate the transient response sensitivity of any type of transmission line network. The result of the example shows that the method is correct and effective. This method provides a new reference method for the sensitivity analysis of transmission line network transient response.

Keywords

Transmission line network Fast Fourier transform Transient response Sensitivity analysis 

References

  1. 1.
    Xu, B.: Microwave Electronic Circuit. National Defense Industry Press, Beijing (2006)Google Scholar
  2. 2.
    Wang, W., Liu, P., Qin, Y.: Hybrid BLT-FDTD approach for the transient response of transmission lines. J. Microwaves 8, 25–28 (2010)Google Scholar
  3. 3.
    Menemenlis, C., Chun, Z.T.: Wave propagation on nonuniform lines. IEEE Trans. Power Apparatus Syst. 4, 833–839 (1982). PAS-101CrossRefGoogle Scholar
  4. 4.
    Ji, X., Ge, L., Wang, Z.: Differential quadrature method based sensitivity analysis of interconnect lines. Inf. Control 37(5), 534–538 (2008)Google Scholar
  5. 5.
    Chen, J., Mao, J., Wang, D., Liu, J.: A novel method for sensitivity analysis of lossy transmission lines in time-domain. J. Shanghai Jiaotong Univ. 36(9), 1276–1279 (2002)Google Scholar
  6. 6.
    Lee, J.Y., Huang, X., Rohrer, R.A.: Pole and zero sensitivity calculation in asymptotic waveform evaluation. IEEE Trans. Comput. Aided Des. Integr. Circuits Syst. 11(5), 586–597 (1992)CrossRefGoogle Scholar
  7. 7.
    Lum, S., Nakhla, M., Zhang, Q.: Sensitivity analysis of lossy coupled transmission lines with nonlinear terminations. IEEE Trans. Microwave Theory Tech. 42(4), 607–615 (1994)CrossRefGoogle Scholar
  8. 8.
    Liang, G., Wang, Y., Dong, H.: Research on frequency—domain sensitivity of lossless exponential transmission line network. J. North China Electr. Power Univ. 33(1), 7–9 (2006)Google Scholar
  9. 9.
    Ji, C.-H., Dong, H., Liang, G.: Adjoint network method of time-domain sensitivity of the networks containing nonuniform transmission lines. Power Syst. Technol. 21(3), 41–45 (2007)Google Scholar
  10. 10.
    Lum, S., Nakhla, M., Zhang, Q.J.: Sensitivity analysis of lossy coupled transmission lines with nonlinear terminations. IEEE Trans. MTT 42(4), 607–615 (1994)CrossRefGoogle Scholar
  11. 11.
    Guo, X., Zhao, J., Bai, L.-J., Zhang, D.-Y.: Sensitivity analysis of the transient response of nonuniform coupled transmission lines. J. Xi’an Jiaotong Univ. 43(8), 72–75 (2009)Google Scholar
  12. 12.
    Mao, J., Li, Z.: Analysis of the time response of nonuniform multiconductor transmission lines with a method of equivalent cascaded network chain. IEEE Trans. Microwave Theory Tech. 40(5), 948–954 (1992)CrossRefGoogle Scholar
  13. 13.
    Lum, S., Nakhla, M., Zhang, Q.J.: Sensitivity analysis of lossy coupled transmission lines. IEEE Trans. MTT 39(21), 2089–2099 (1991)CrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Jianhua Yin
    • 1
  • Xiaoke Chen
    • 2
  • Hang Liang
    • 3
    Email author
  • Jinquan Zhao
    • 3
  • Jing Xu
    • 3
  1. 1.Electric Power Research Institute, CSGGuangzhouChina
  2. 2.Electrical Power Research Institute of Guangdong Power Grid CorporationGuangzhouChina
  3. 3.Xi’an Jiaotong UniversityXi’anChina

Personalised recommendations