volume | PIER Journals

Abstract

This paper proposes a new method of calculating currents in three-phase overhead medium and high voltage networks by measuring the magnetic fields generated in the close vicinity of the power line conductors. A mathematical model for magnetic fields is presented in the form of second order partial differential equations that are derived from Maxwell's equation. The analysis of the magnetic field surrounding overhead conductors is performed using Finite Element Method. The least squares method is used for the formulation of equations for estimating currents from the measured magnetic fields for each phase. A computational program for detail analysis is developed in MATLAB. A plan for measurement points is developed for triangular arrangement of conductors. Field measurement with increased number of measuring points gives better results than those with the single points.

1. Campbell, R. J., "Weather-related power outages and electric system resiliency," CRS Report for Congress, Congressional Research Service, 3-14, 7-5700, www.crs.gov, R42696, 2012. Google Scholar

2. IEEE Standard C37.110-2007 IEEE Guide for the Application of Current Transformers Used for Protective Relaying Purposes, IEEE Press, 2007.

3. Sadiku, M. N., Numerical Techniques in Electromagnetics with MATLAB, 3rd Ed., CRC Press, 2012.

4. Tupsie, S., "Analysis of electromagnetic field using FEM for transmission lines transposition," Journal Title Abbreviation, Vol. 34, No. 10, 1064-1076, 2013. Google Scholar

5. Pao-La-Or, P., P. Isaramongkolrak, and P. Pao-La-Or, "Title of the journal paper," International Journal of Electrical and Computer Engineering, Vol. 3, No. 5, 1174-1178, 2009. Google Scholar

6. Hamayer, K., R. Mertens, and R. Belmans, "Computation and measurement of electromagnetic fields of AC-high voltage transmission lines," Sixth International Conference on AC and DC Power Transmission, 52-57, 1996.
doi:10.1049/cp:19960332 Google Scholar

7. Farah, A. A. M., M. M. Afonso, J. A. Vasconcelos, and M. A. O. Schroeder, "A finite-element approach for electric field computation at the surface of overhead transmission line conductors," IEEE Transactions on Magnetics, Vol. 54, No. 3, 1-4, 2018.
doi:10.1109/TMAG.2017.2773264 Google Scholar

8. Pao-La-Or, P., T. Kulworawanichpong, and S. Sujitjorn, "Distributions of flux and electromagnetic force in induction motors: A finite element approach," WSEAS Transactions on Systems, Vol. 5, No. 3, 617-624, 2006. Google Scholar

9. Mismar, M., "Numercial simulation of Maxwell’s equations," IOSR Journal of Engineering, Vol. 7, No. 3, 1-10, 2017.
doi:10.9790/30210-703010110 Google Scholar

10. Ray, W. F. and C. R. Hewson, "High performance Rogowski current transducers," Proceedings of IEEE Industrial Applications Conference, 3083-3090, Rome, Italy, 2000. Google Scholar

11. Ripka, P., "Electric current sensors: A review," Measurement Science Technology, Vol. 21, No. 112001, 1-23, 2010. Google Scholar

12. Ziegler, S., R. C. Woodward, H. H. C. Lu, and L. J. Borle, "Investigation into static and dynamic performances of the copper trace current sense method," IEEE Sensors J., Vol. 9, No. 7, 782-791, 2009.
doi:10.1109/JSEN.2009.2021803 Google Scholar

13. Honeywell Hall Effect Sensing and Application, Honeywell, 2010.

14. Ripka, P., "Advances in fluxgate sensors," Sensors and Actuators A, Vol. 106, 8-14, 2003.
doi:10.1016/S0924-4247(03)00094-3 Google Scholar

15. Lenz, J. and A. S. Edelstein, "Magnetic sensors and their applications," IEEE Sensors J., Vol. 6, No. 3, 631-649, 2006.
doi:10.1109/JSEN.2006.874493 Google Scholar

16. D’Antona, G., L. Di Rienz, R. Ottoboni, and M. Manara, "Processing magnetic sensor array data for AC current measurement in multiconductor systems," IEEE Transactions on Instrumentation and Measurement, Vol. 50, No. 5, 1289-1295, 2001.
doi:10.1109/19.963199 Google Scholar

17. Dogaru, T. and S. T. Smithz, "Giant magnetoresistance-based eddy-current sensor," IEEE Transactions on Magnetics, Vol. 37, No. 5, 3831-3838, 2001.
doi:10.1109/20.952754 Google Scholar

18. USF Section 2 April 201 Voltages, Line Locations and Clearances for Distribution Circuits, Utility Standards Forum.

19. USF Section 01–17 January 2017 Overhead Primary Framing, Utility Standards Forum.

Dr. Prasad Shrawane

Prof. Tarlochan Sidhu