Analytical Models for the Time Response of a Microstrip Line with Two Additional Symmetrical Conductors on Top under Different Boundary Conditions at Their Ends

   Introduction. Protection of radio electronic equipment (REA) against various electromagnetic interferences is an important aspect of electromagnetic capability. Among interferences for REA, ultra-short pulses of picosecond and nanosecond ranges represent the highest danger due to their high voltage, short duration, and wide spectrum. One effective protection measure consists in the use of bandpass devices based on modal decomposition, such as modal filters (MF). This requires an analysis of distortion of the temporal response of bandpass devices, which is usually carried out numerically. However, even for simple configurations, this approach is associated with high computational costs. Yet simple analytical time-response models are acceptable in some cases. In the initial design stages, such models are extremely useful in providing a preliminary solution and a rapid assessment of response distortions. Therefore, comparison of time responses obtained by numerical methods and analytical models appears an important research task.

   Aim. To compare the time responses obtained by quasi-static analysis and analytical models.

   Materials and methods. Analytical models for computing time responses based on a modal analysis technique were considered. A quasi-static modeling of a microstrip line (MSL) with two additional symmetrical conductors on top in the TALGAT system was carried out.

   Results. Analytical models are proposed for an MSL with two additional symmetrical conductors on top taking different boundary conditions at their ends into account. The accuracy and reliability of the proposed models are verified by comparing the time responses obtained by quasi-static analysis and the proposed models. The results obtained showed good agreement.

   Conclusion. It is shown that an MSL with two additional symmetrical conductors on top can be used as an MF under different boundary conditions at the ends of these conductors. The proposed models allow the shape and amplitude of the response to be estimated with acceptable accuracy, reducing time and computational costs.

1. Zheng J., Wei G. New development of electromagnetic compatibility in the future: cognitive electromagnetic environment adaptation // 13^th Global Symp. on Millimeter-Waves and Terahertz (GSMM), Nanjing, China, 17 Aug. 2021. IEEE, 2021. P. 1–3. doi: 10.1109/GSMM53250.2021.9511983

2. Zdukhov L. N., Parfenov Yu. V., Tarasov O. A., Chepelev V. M. Three Possible Mechanisms for the Failure of Electronic Devices as a Result of Electromagnetic Interference. Tekhnologii elektromagnitnoy otrazheniya [Electromagnetic Compatibility Technologies]. 2018, no. 2 (65), pp. 22–34. (In Russ.)

3. Radasky W. A., Baum C. E., Wik M. W. Introduction to the Special Issue on High-Power Electromagnetics and Intentional Electromagnetic Interference. IEEE Transactions on Electromagnetic Compatibility. 2004, vol. 46, iss. 3, pp. 314–321. doi: 10.1109/TEMC.2004.831899

4. Kotny J. C., Margueron X., Idir N. High frequency model of the coupled inductors used in EMI filter // IEEE Transactions on Power Electronics. 2012. Vol. 27, № 6. P. 2805–2812. doi: 10.1109/TPEL.2011.2175452

5. Yoshida T., Endo M. A Study on ESD protection characteristic difference measurement of TVS diodes by VNA // IEEE 5^th Intern. Symp. on Electromagnetic Compatibility (EMC), Beijing, China, 2018. P. 1–4. doi: 10.1109/EMC-B.2017.8260474

6. Smirnov V., Shalayeva A., Kharitonov A. Elektromagnitnaya sovmestimost' v elektronike [Electromagnetic Compatibility in Electronics]. Moscow, Media KiT, 2018, pp. 34–40. (In Russ.)

7. Zabolotsky A. M., Gazizov T. R. Theoretical Foundations of Modal Filtering. Tekhnika radiosvyazi [Radio Communications Technology]. 2014, no. 3, pp. 79–83. (In Russ.)

8. Gazizov A. T., Zabolotsky A. M., Gazizov T. R. UWB pulse decomposition in simple printed structures // IEEE Transactions on Electromagnetic Compatibility. 2016. Vol. 58, № 4. P. 1136–1142. doi: 10.1109/TEMC.2016.2548783

9. Belousov A. O., Zabolotsky A. M., Gazizov T. T. Optimization of parameters of multiconductor modal filters for protection against ultrashort pulses // 17^th Intern. Conf. of Young Specialists on Micro/Nanotechnologies and Electron Devices. Altai, Russia, 30 June – 4 July 2016. P. 67–70. doi: 10.1109/EDM.2016.7538694

10. Park S. W., Xiao F., Kami Y. Analytical approach for crosstalk characterization of multiconductor transmission lines using mode decomposition technique in the time domain // IEEE Trans. on Electromagnetic Compatibility. 2010. Vol. 52, iss. 2. P. 436–446. doi: 10.1109/temc.2010.2045759

11. Xiao F., Murano K., Kami Y. Analytical Solution of the Electromagnetic Radiation from Coupled Differential Microstrip Pairs // Asia-Pacific Symp. on Electromagnetic Compatibility (APEMC), Taipei, Taiwan, 26–29 May 2015. IEEE, 2015. P. 708–711. doi: 10.1109/APEMC.2015.7175358

12. Soleimani N., Mohammad G. H. A., Mohammad H. N. Crosstalk analysis at nearend and far-end of the coupled transmission lines based on eigenvector decomposition // Intern. J. of Electronics and Communications. 2012. Vol. 12. P. 1–8. doi: 10.1016/j.aeue.2019.152944

13. Sagiyeva I. Y., Kenzhegulova Z. M., Surovtsev R. S. Analytical Models for the Time Response of a Modal Filter Having a Symmetrical Pair of Passive Conductors with Grounded Ends // IEEE Intern. Multi-Conf. on Engineering, Computer and Information Sciences (SIBIRCON), Yekaterinburg, Russia, 11–13 Nov. 2022. IEEE, 2022. P. 1080–1084. doi: 10.1109/SIBIRCON56155.2022.10017074.

14. Sagiyeva I. Y., Kenzhegulova Z. M., Surovtsev R. S. Modal filters based on a microstrip line with overhead conductors grounded at both ends // 22^nd Intern. Conf. of Young Professionals in Electron Devices and Materials. Altai, Russia. 30 June – 4 July 2021. IEEE, 2021. P. 176–179. doi: 10.1109/EDM52169.2021.9507610

15. Kuksenko S. P. Preliminary results of a project of the University of TUSUR on designing the distribution network space vehicles: modeling EMS. IOP Conf. Ser.: Materials Science and Engineering. 2019. Vol. 560, № 012110. P. 1–7. doi: 10.1088/1757-899X/560/1/012110

16. Kuksenko S. P., Zabolotsky A. M., Melkozerov A. O., Gazizov T. R. New Features of Electromagnetic Compatibility in TALGAT Simulation Software. Doklady Tomskogo gosudarstvennogo universiteta sistem upravleniya i radioelektroniki [Papers from Tomsk State University of Control Systems and Radioelectronics]. 2015, no. 2, pp. 45–50. (In Russ.)

17. PathWave EM Design (EMPro). Available at: https://getintopc.com/softwares/electromagnetic-design/keysight-pathwave-em-design-empro-2023-free-download/?id=000129804320 (accessed 20. 09. 2023)