Computer Analysis of Electromagnetic Transients in Grounding Systems Considering Variation of Soil Parameters with Frequency
- 1 Department of Electrical Engineering, Federal University of S?o Jo?o del-Rei, Laboratory of Applied Electromagnetism, S?o Jo?o del-Rei, Brazil
- 2 Department of Electrical Engineering, Federal Center of Technological Education of Minas Gerais, Belo Horizonte, Brazil; 3Energetic Company of Minas Gerais, Belo Horizonte, Brazil
- 3 Department of Electrical Engineering, Federal Center of Technological Education of Minas Gerais, Belo Horizonte, Brazil
- 4 Energetic Company of Minas Gerais, Belo Horizonte, Brazil.
Abstract
This paper presents a mathematical model to calculate transients in grounding systems. The derived equations arise from direct application of basic electromagnetic equations in frequency domain, whose solution is obtained by the application of the Moment Methods. A formulation based on experimental measurements is applied to quantify the soil parameters for each frequency. The unified approach is applied in the calculation of the grounding impedance of horizontal electrodes. Results show that the inclusion of frequency dependence of the soil parameters leads to a reduction of the values of grounding impedance, in comparison with results for soils with parameters independent of frequency.
- The IEEE Standards Association, “IEEE Guide for Safety in AC Substation Grounding”, The IEEE Standards Association, New York, 2000.
- S. Visacro, “A Comprehensive Approach to the Grounding Response to Lightning Currents,” IEEE Transactions on Power Delivery, Vol. 22, No. 1, 2007, pp. 381-386. doi:10.1109/TPWRD.2006.876707
- L. Grcev and F. Dawalibi, “An Electromagnetic Model for Transients in Grounding Systems,” IEEE Transactions on Power Delivery, Vol. 5, No. 4, 1990, pp. 1773-1781. doi:10.1109/61.103673
- Y. Liu, N. Theethayi and R. Thottappillil, “An Engineering Model for Transient Analysis of Grounding System Under Lightning Strikes: Nonuniform Transmission-Line Approach,” IEEE Transactions on Power Delivery, Vol. 20, No. 2, 2005, pp. 722-730. doi:10.1109/TPWRD.2004.843437
- A. F. Otero, J. Cidrás and J. L. del álamo, “FrequencyDependent Grounding System Calculation by Means of a Conventional Nodal Analysis Technique,”, IEEE Transactions on Power Delivery, Vol. 14, No. 3, 1999, pp. 873878. doi:10.1109/61.772327
- C. M. Portela, “Measurement and Modeling of Soil Electromagnetic Behavior,” Proceedings of IEEE International Symposium on Electromagnetic Compatibility, Seattle, 2-6, August 1999, pp. 1004-1009.
- C. M. Portela, M. C Tavares and J. Pissolato, “Accurate Representation of Soil Behaviour for Transient Studies,” IEEE Proceedings Generation, Transmission and Distribution, Vol. 150, No. 6, 2003, pp. 736-744.
- C. M. Portela, J. B. Gertrudes, M. C. Tavares and J. Pissolato, “Earth Conductivity and Permittivity Data Measurements: Influence in Transmission Line Transient Performance,” Elsevier, Electric Power Systems Research, Vol. 76, No. 11 2006, pp. 907-915. doi:10.1016/j.epsr.2005.11.006
- A. C. S. Lima and C. M. Portela, “Inclusion of FrequencyDependent Soil Parameters in Transmission-Line Modeling,” IEEE Transactions on Power Delivery, Vol. 22, No. 1, 2007, pp. 492-499. doi:10.1109/TPWRD.2006.881582
- C. L. Longmire and K. S. Smith, “A Universal Impedance for Soils,” Defense Nuclear Agency, Washington, DC, 1975.
- J. H. Scott, “Electrical and Magnetic Proprieties of Rock and Soil,” United States Department of the Interior Geological Survey, 1983.
- S. Visacro and R. S. Alípio, “Frequency Dependence of Soil Parameters: Experimental Results, Predicting Formula and Influence on the Lightning Response of Grounding Electrodes,” IEEE Transactions on Power Delivery, Vol. 27, No. 2, 2012, pp. 927-935. doi:10.1109/TPWRD.2011.2179070