PIER B
 
Progress In Electromagnetics Research B
ISSN: 1937-6472
Home | Search | Notification | Authors | Submission | PIERS Home | EM Academy
Home > Vol. 62 > pp. 303-317

AN EFFICIENT METHOD FOR SOLVING FREQUENCY RESPONSES OF POWER-LINE NETWORKS

By B. Li, D. Mansson, and G. Yang

Full Article PDF (320 KB)

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:
B. Li, D. Mansson, and G. 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., 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., 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., 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., 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, USA, 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.


© Copyright 2010 EMW Publishing. All Rights Reserved