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Progress In Electromagnetics Research B | ISSN: 1937-6472 |

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## AN EFFICIENT METHOD FOR SOLVING FREQUENCY RESPONSES OF POWER-LINE NETWORKSBy B. Li, D. Mansson, and G. Yang
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.
2. Anatory, J., et al., "A broadband power-line communication system design scheme for typical Tanzanian low-voltage network," 3. Anatory, J., et al., "Expressions for current/voltage distribution in broadband power-line communication networks involving branches," 4. Anatory, J., et al., "An experimental validation for broadband power-line communication (BPLC) model," 5. Anatory, J., et al., "Channel model for broadband power-line communication," 6. Ding, X. and J. Meng, "Channel estimation and simulation of an indoor power-line network via a recursive time-domain solution," 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," 8. Zheng, T., M. Raugi, and M. Tucci, "Time-invariant characteristics of naval power-line channels," 9. Baum, C. E., "How to think about EMP interaction," 10. Baum, C. E., T. K. Liu, and F. M. Tesche, "On the analysis of general multiconductor transmission-line networks," 11. Baum, C. E., "Generalization of the BLT equation," 12. Tesche, F. M., "Topological concepts for internal EMP interaction," 13. Tesche, F. M., "Development and use of the BLT equation in the time domain as applied to a coaxial cable," 14. Tesche, F. M. and C. M. Butler, "On the addition of EM field propagation and coupling effects in the BLT equation," 15. Paul, C. R., 16. Mansson, D., R. Thottappillil, and M. Bäckström, "Propagation of UWB transients in low-voltage power installation networks," 17. Carlsson, J., T. Karlsson, and G. Undén, "EMEC --- An EM simulator based on topology," 18. Coppersmith, D. and S. Winograd, "Matrix multiplication via arithmetic progressions," 19. Pan, V., "Complexity of parallel matrix computations," 20. Black, P. E., "Big-O notation," 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," 23. Danziger, P., |

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