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Sensitivity Analysis for Transient Response of the Transmission Line Network

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Advances in Natural Computation, Fuzzy Systems and Knowledge Discovery (ICNC-FSKD 2019)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1075))

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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.

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References

  1. Xu, B.: Microwave Electronic Circuit. National Defense Industry Press, Beijing (2006)

    Google Scholar 

  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. Menemenlis, C., Chun, Z.T.: Wave propagation on nonuniform lines. IEEE Trans. Power Apparatus Syst. 4, 833–839 (1982). PAS-101

    Article  Google Scholar 

  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. 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. 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)

    Article  Google Scholar 

  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)

    Article  Google Scholar 

  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. 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. 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)

    Article  Google Scholar 

  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. 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)

    Article  Google Scholar 

  13. Lum, S., Nakhla, M., Zhang, Q.J.: Sensitivity analysis of lossy coupled transmission lines. IEEE Trans. MTT 39(21), 2089–2099 (1991)

    Article  Google Scholar 

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Correspondence to Hang Liang .

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Yin, J., Chen, X., Liang, H., Zhao, J., Xu, J. (2020). Sensitivity Analysis for Transient Response of the Transmission Line Network. In: Liu, Y., Wang, L., Zhao, L., Yu, Z. (eds) Advances in Natural Computation, Fuzzy Systems and Knowledge Discovery. ICNC-FSKD 2019. Advances in Intelligent Systems and Computing, vol 1075. Springer, Cham. https://doi.org/10.1007/978-3-030-32591-6_82

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