Efficient Analysis of Grounding Systems by Means of the Hybrid FEM–DBCI Method

In the design of a grounding system, technical and normative constraints have to be met. Therefore, it is necessary to use a tool that is able to accurately estimate the values of the significant parameters of the grounding system, such as earth resistance and touch-and-step voltages. The computation of such quantities calls for the solution of a 3-D open-boundary static electromagnetic field problem, which should take into account the nonhomogeneous structure of soil. The hybrid finite-element method-Dirichlet boundary condition iteration method is applied to the solutions of such problems. A great advantage of this method is that it directly provides the electric potential distribution on the earth surface as part of the solution. Some grounding systems are analyzed, and the comparisons of the results with those obtained by other methods are made.

[1]  J. G. Sverak Simplified Analysis of Electrical Gradients Above a Ground Grid, Part I: How Good Is the Present IEEE Method? (A Special Report for WG78.1) , 1984, IEEE Power Engineering Review.

[2]  W. R. Smythe Static and Dynamic Electricity , 1989 .

[3]  Peter P. Silvester,et al.  Finite elements for electrical engineers: Curvilinear, vectorial and unbounded elements , 1996 .

[4]  Mladen Trlep,et al.  The analysis of complex grounding systems by FEM , 1998 .

[5]  Magdy M. A. Salama,et al.  A formula for resistance of substation grounding grid in two-layer soil , 1995 .

[6]  Salvatore Coco,et al.  Finite element iterative solution of skin effect problems in open boundaries , 1996 .

[7]  S. Alfonzetti A neural network generator for tetrahedral meshes , 2003 .

[8]  George W. Arnold,et al.  Challenges and Opportunities in Smart Grid: A Position Article , 2011, Proceedings of the IEEE.

[9]  J.A. Guemes-Alonso,et al.  A practical approach for determining the ground resistance of grounding grids , 2006, IEEE Transactions on Power Delivery.

[10]  João Tomé Saraiva,et al.  Design of grounding systems in substations using a mixed-integer linear programming formulation , 2009 .

[11]  Bojan Štumberger,et al.  The FEM-BEM analysis of complex grounding systems , 2003 .

[12]  N. Hoshi,et al.  Small-scale hydropower , 2003, IEEE Industry Applications Magazine.

[13]  Salvatore Coco,et al.  Charge iteration: A procedure for the finite element computation of unbounded electrical fields , 1994 .

[14]  Santi Agatino Rizzo,et al.  A comparison between hybrid methods: FEM-BEM versus FEM-DBCI , 2013 .

[15]  Nirwan Ansari,et al.  The Progressive Smart Grid System from Both Power and Communications Aspects , 2012, IEEE Communications Surveys & Tutorials.

[16]  I. Colominas,et al.  Improvement of the computer methods for grounding analysis in layered soils by using high-efficient convergence acceleration techniques , 2012, Adv. Eng. Softw..

[17]  S. J. Schwarz,et al.  Analytical Expressions for the Resistance of Grounding Systems [includes discussion] , 1954, Transactions of the American Institute of Electrical Engineers. Part III: Power Apparatus and Systems.

[18]  Fermín Navarrina,et al.  A boundary element numerical approach for grounding grid computation , 1999 .

[19]  Giovanni Aiello,et al.  A Generalized Minimal Residual Acceleration of the Charge Iteration Procedure , 1997 .

[20]  E. von Kitzing,et al.  Electrostatics of a simple membrane model using Green's functions formalism. , 1996, Biophysical journal.

[21]  Gao Lin,et al.  The scaled boundary finite element method applied to electromagnetic field problems , 2010 .

[22]  G. C. Bakos,et al.  Distributed power generation: A case study of small scale PV power plant in Greece , 2009 .

[23]  J. Sverak,et al.  Simplified Analysis of Electrical Gradients Above a Ground Grid-I How Good Is The Present IEEE Method? (A Special Report For WG 78.1) , 1984, IEEE Transactions on Power Apparatus and Systems.

[24]  Ehab F. El-Saadany,et al.  Reliability Assessment of Distribution Systems Considering Telecontrolled Switches and Microgrids , 2014, IEEE Transactions on Power Systems.

[25]  Salvatore Coco,et al.  Overrelaxing the charge iteration procedure , 1996 .

[26]  V. Gerez,et al.  Evaluation of ground resistance of a grounding grid of any , 1991, IEEE Power Engineering Review.

[27]  Zdenko Šimić,et al.  Small wind turbines – A unique segment of the wind power market , 2013 .

[28]  Christian Dufour,et al.  On the use of real-time simulation technology in smart grid research and development , 2013, 2013 IEEE Energy Conversion Congress and Exposition.

[29]  J. Sverak,et al.  Safe Substation Grounding-Part I , 1981, IEEE Transactions on Power Apparatus and Systems.

[30]  Safe Substation Grounding - Part II , 1982, IEEE Transactions on Power Apparatus and Systems.

[31]  T. Preston,et al.  Finite Elements for Electrical Engineers , 1984 .

[32]  G. Borzi,et al.  An Overview Of The ELFIN Code For FiniteElement Research In Electrical Engineering , 1999 .

[33]  J. A. Guemes,et al.  Method for calculating the ground resistance of grounding grids using FEM , 2004, IEEE Transactions on Power Delivery.

[34]  S. Mukherjee,et al.  Boundary element techniques: Theory and applications in engineering , 1984 .

[35]  C. Brebbia,et al.  Boundary Element Techniques , 1984 .