Vol. 62
Latest Volume
All Volumes
PIERB 109 [2024] PIERB 108 [2024] PIERB 107 [2024] PIERB 106 [2024] PIERB 105 [2024] PIERB 104 [2024] PIERB 103 [2023] PIERB 102 [2023] PIERB 101 [2023] PIERB 100 [2023] PIERB 99 [2023] PIERB 98 [2023] PIERB 97 [2022] PIERB 96 [2022] PIERB 95 [2022] PIERB 94 [2021] PIERB 93 [2021] PIERB 92 [2021] PIERB 91 [2021] PIERB 90 [2021] PIERB 89 [2020] PIERB 88 [2020] PIERB 87 [2020] PIERB 86 [2020] PIERB 85 [2019] PIERB 84 [2019] PIERB 83 [2019] PIERB 82 [2018] PIERB 81 [2018] PIERB 80 [2018] PIERB 79 [2017] PIERB 78 [2017] PIERB 77 [2017] PIERB 76 [2017] PIERB 75 [2017] PIERB 74 [2017] PIERB 73 [2017] PIERB 72 [2017] PIERB 71 [2016] PIERB 70 [2016] PIERB 69 [2016] PIERB 68 [2016] PIERB 67 [2016] PIERB 66 [2016] PIERB 65 [2016] PIERB 64 [2015] PIERB 63 [2015] PIERB 62 [2015] PIERB 61 [2014] PIERB 60 [2014] PIERB 59 [2014] PIERB 58 [2014] PIERB 57 [2014] PIERB 56 [2013] PIERB 55 [2013] PIERB 54 [2013] PIERB 53 [2013] PIERB 52 [2013] PIERB 51 [2013] PIERB 50 [2013] PIERB 49 [2013] PIERB 48 [2013] PIERB 47 [2013] PIERB 46 [2013] PIERB 45 [2012] PIERB 44 [2012] PIERB 43 [2012] PIERB 42 [2012] PIERB 41 [2012] PIERB 40 [2012] PIERB 39 [2012] PIERB 38 [2012] PIERB 37 [2012] PIERB 36 [2012] PIERB 35 [2011] PIERB 34 [2011] PIERB 33 [2011] PIERB 32 [2011] PIERB 31 [2011] PIERB 30 [2011] PIERB 29 [2011] PIERB 28 [2011] PIERB 27 [2011] PIERB 26 [2010] PIERB 25 [2010] PIERB 24 [2010] PIERB 23 [2010] PIERB 22 [2010] PIERB 21 [2010] PIERB 20 [2010] PIERB 19 [2010] PIERB 18 [2009] PIERB 17 [2009] PIERB 16 [2009] PIERB 15 [2009] PIERB 14 [2009] PIERB 13 [2009] PIERB 12 [2009] PIERB 11 [2009] PIERB 10 [2008] PIERB 9 [2008] PIERB 8 [2008] PIERB 7 [2008] PIERB 6 [2008] PIERB 5 [2008] PIERB 4 [2008] PIERB 3 [2008] PIERB 2 [2008] PIERB 1 [2008]
2015-05-04
An Efficient Method for Solving Frequency Responses of Power-Line Networks
By
Progress In Electromagnetics Research B, Vol. 62, 303-317, 2015
Abstract
This paper presents a novel approach for solving the frequency responses of a powerline network, which is a two-parallel-conductor system with multiple junctions and branches. By correcting the reflection coefficient and transmission coefficient of each junction, a complex network can be decomposed into several, single-junction, units. Based on the Baum-Liu-Tesche (BLT) equation, we preliminarily propose the calculation method of frequency responses for single-junction network. In accordance with the direction of power transfer, we calculate the frequency responses of loads connected to each junction sequentially, from the perspective of the network structure. This approach greatly simplifies the computational complexity of the network frequency responses. To verify the proposed algorithm, networks with various numbers of junctions and branches are investigated, and the results are compared with a commercial electromagnetic simulator based on the topology. The analytical results agree well with the simulated ones.
Citation
Bing Li, Daniel Mansson, and Guang Yang, "An Efficient Method for Solving Frequency Responses of Power-Line Networks," Progress In Electromagnetics Research B, Vol. 62, 303-317, 2015.
doi:10.2528/PIERB15013008
References

1. Anatory, J., N. Theethayi, and R. Thottappillil, "Power-line communication channel model for interconnected networks --- Part I: Two-conductor system," IEEE Trans. Power Del., Vol. 24, No. 1, 118-123, 2009.
doi:10.1109/TPWRD.2008.2005679

2. Anatory, J., N. Theethayi, R. Thottappillil, et al. "A broadband power-line communication system design scheme for typical Tanzanian low-voltage network," IEEE Trans. Power Del., Vol. 24, No. 3, 1218-1224, 2009.
doi:10.1109/TPWRD.2009.2014478

3. Anatory, J., N. Theethayi, R. Thottappillil, et al. "Expressions for current/voltage distribution in broadband power-line communication networks involving branches," IEEE Trans. Power Del., Vol. 23, No. 1, 188-195, 2008.
doi:10.1109/TPWRD.2007.911024

4. Anatory, J., N. Theethayi, R. Thottappillil, et al. "An experimental validation for broadband power-line communication (BPLC) model," IEEE Trans. Power Del., Vol. 23, No. 3, 1380-1383, 2008.
doi:10.1109/TPWRD.2008.916739

5. Anatory, J., M. M. Kissaka, and N. H. Mvungi, et al., "Channel model for broadband power-line communication," IEEE Trans. Power Del., Vol. 22, No. 1, 135-141, 2007.
doi:10.1109/TPWRD.2006.881597

6. Ding, X. and J. Meng, "Channel estimation and simulation of an indoor power-line network via a recursive time-domain solution," IEEE Trans. Power Del., Vol. 24, No. 1, 144-152, 2009.
doi:10.1109/TPWRD.2008.917691

7. Shin, J., J. Lee, and J. Jeong, "Channel modeling for indoor broadband power-line communications networks with arbitrary topologies by taking adjacent nodes into account," IEEE Trans. Power Del., Vol. 26, No. 3, 1432-1439, 2011.
doi:10.1109/TPWRD.2010.2103331

8. Zheng, T., M. Raugi, and M. Tucci, "Time-invariant characteristics of naval power-line channels," IEEE Trans. Power Del., Vol. 27, No. 2, 858-865, 2012.
doi:10.1109/TPWRD.2011.2181542

9. Baum, C. E., "How to think about EMP interaction," Proceedings of the 1974 Spring FULMEN Meeting, 1974.

10. Baum, C. E., T. K. Liu, and F. M. Tesche, "On the analysis of general multiconductor transmission-line networks," Interaction Note 350, 467-547, 1978.

11. Baum, C. E., "Generalization of the BLT equation," Proc. 13th Zurich EMC Symp., 131-136, 1999.

12. Tesche, F. M., "Topological concepts for internal EMP interaction," IEEE Trans. AP, Vol. 26, No. 1, 1978.
doi:10.1109/TAP.1978.1141785

13. Tesche, F. M., "Development and use of the BLT equation in the time domain as applied to a coaxial cable," IEEE Trans. EMC, Vol. 49, No. 1, 3-11, 2007.

14. Tesche, F. M. and C. M. Butler, "On the addition of EM field propagation and coupling effects in the BLT equation," Interaction Notes, 2004.

15. Paul, C. R., Introduction to Electromagnetic Compatibility, A Wiley Interscience Publication, 1992.

16. Mansson, D., R. Thottappillil, and M. Bäckström, "Propagation of UWB transients in low-voltage power installation networks," IEEE Trans. EMC, Vol. 50, No. 3, 619-629, 2008.

17. Carlsson, J., T. Karlsson, and G. Undén, "EMEC --- An EM simulator based on topology," IEEE Trans. EMC, Vol. 46, No. 3, 353-358, 2004.

18. Coppersmith, D. and S. Winograd, "Matrix multiplication via arithmetic progressions," Proceedings of the Nineteenth Annual ACM Symposium on Theory of Computing, 1-6, 1987.

19. Pan, V., "Complexity of parallel matrix computations," Theoretical Computer Science, Vol. 54, No. 1, 65-85, 1987.
doi:10.1016/0304-3975(87)90019-3

20. Black, P. E., "Big-O notation," Dictionary of Algorithms and Data Structures, 2007.

21. Mohr, A., "Quantum computing in complexity theory and theory of computation,", 1-6, 2014, www.austinmohr.com/Work files/complexity.pdf.

22. Valiant, L. G., "The complexity of computing the permanent," Theoretical Computer Science, Vol. 8, No. 2, 189-201, 1979.
doi:10.1016/0304-3975(79)90044-6

23. Danziger, P., Complexity of the Gaussian algorithm, Accessed: Mar. 12, 2015, Online Available:, http://www.math.ryerson.ca/danziger/professor/MTH108/Handouts/gauss-complexity.pdf.