Applications of the FDTD Method to Lightning Electromagnetic Pulse and Surge Simulations

Electromagnetic computation methods (ECMs) have been widely used in analyzing lightning electromagnetic pulses (LEMPs) and lightning-caused surges in various systems. One of the advantages of ECMs, in comparison with circuit simulation methods, is that they allow a self-consistent full-wave solution for both the transient current distribution in a 3-D conductor system and resultant electromagnetic fields, although they are computationally expensive. Among ECMs, the finite-difference time-domain (FDTD) method for solving Maxwell's equations has been most frequently used in LEMP and surge simulations. In this paper, we review applications of the FDTD method to LEMP and surge simulations, including 1) lightning electromagnetic fields at close and far distances, 2) lightning surges on overhead power transmission line conductors and towers, 3) lightning surges on overhead distribution and telecommunication lines, 4) lightning electromagnetic environment in power substations, 5) lightning surges in wind-turbine-generator towers, 6) lightning surges in photovoltaic (PV) arrays, 7) lightning electromagnetic environment in electric vehicles (EVs), 8) lightning electromagnetic environment in airborne vehicles, 9) lightning surges and electromagnetic environment in buildings, and 10) surges on grounding electrodes.

[1]  K. Yee Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media , 1966 .

[2]  F. Rachidi,et al.  On the Validity of Approximate Formulas for the Evaluation of the Lightning Electromagnetic Fields in the Presence of a Lossy Ground , 2013, IEEE Transactions on Electromagnetic Compatibility.

[3]  Qilin Zhang,et al.  Examination of the Cooray‐Rubinstein (C‐R) formula for a mixed propagation path by using FDTD , 2012 .

[4]  T. Liu,et al.  Computation of Lightning Horizontal Field Over the Two-Dimensional Rough Ground by Using the Three-Dimensional FDTD , 2014, IEEE Transactions on Electromagnetic Compatibility.

[5]  Vladimir A. Rakov,et al.  Lightning Return Stroke Speed , 2007 .

[6]  N. Nagaoka,et al.  FDTD Simulation of a Horizontal Grounding Electrode and Modeling of its Equivalent Circuit , 2006, IEEE Transactions on Electromagnetic Compatibility.

[7]  Y. Baba,et al.  Electric and Magnetic Fields Predicted by Different Electromagnetic Models of the Lightning Return Stroke Versus Measured Fields , 2009, IEEE Transactions on Electromagnetic Compatibility.

[8]  M. S. Sarto Innovative absorbing-boundary conditions for the efficient FDTD analysis of lightning-interaction problems , 2001 .

[9]  Bin Chen,et al.  An Algorithm for the FDTD Modeling of Flat Electrodes in Grounding Systems , 2014, IEEE Transactions on Antennas and Propagation.

[10]  Vladimir A. Rakov,et al.  A new lightning return stroke model based on antenna theory , 2000 .

[11]  Vladimir A. Rakov,et al.  Some inferences on the propagation mechanisms of dart leaders , 1998 .

[12]  V. Rakov,et al.  Simulation of corona at lightning-triggering wire: Current, charge transfer, and the field-reduction effect , 2011 .

[13]  Allyson O’Brien,et al.  A Simple Introduction to Finite Element Analysis , 2010 .

[14]  Yoshihiro Baba,et al.  FDTD surge analysis of grounding electrodes considering soil ionization , 2014 .

[15]  Yoshihiro Baba,et al.  Lightning surge response of a double-circuit transmission tower with incoming lines to a substation through FDTD simulation , 2014, IEEE Transactions on Dielectrics and Electrical Insulation.

[16]  C. F. Wagner,et al.  High-Voltage Impulse Tests on Transmission Lines [includes discussion] , 1954, Transactions of the American Institute of Electrical Engineers. Part III: Power Apparatus and Systems.

[17]  Y. Baba,et al.  On the interpretation of ground reflections observed in small-scale experiments Simulating lightning strikes to towers , 2005, IEEE Transactions on Electromagnetic Compatibility.

[18]  Tran Huu Thang,et al.  FDTD Simulation of Insulator Voltages at a Lightning-Struck Tower Considering Ground-Wire Corona , 2013, IEEE Transactions on Power Delivery.

[19]  Yoshihiro Baba,et al.  On the use of lumped sources in lightning return stroke models , 2005 .

[20]  R. Melo e Silva de Oliveira,et al.  Computational Environment for Simulating Lightning Strokes in a Power Substation by Finite-Difference Time-Domain Method , 2009 .

[21]  Yoshihiro Baba,et al.  Numerical Simulations of Lightning Surge Responses in a Seismic Isolated Building by FDTD and EMTP , 2008 .

[22]  Cheng Gao,et al.  Using a Two-Step Finite-Difference Time-Domain Method to Analyze Lightning-Induced Voltages on Transmission Lines , 2011, IEEE Transactions on Electromagnetic Compatibility.

[23]  Matthew N. O. Sadiku,et al.  A further introduction to finite element analysis of electromagnetic problems , 1989 .

[24]  K. Tanabe Cast Your Vote for the 2002 IEEE Division VII Director , 2001 .

[25]  Shunchao Wang,et al.  Research on lightning overvoltages of solar arrays in a rooftop photovoltaic power system , 2013 .

[26]  Y. Baba,et al.  Applications of Electromagnetic Models of the Lightning Return Stroke , 2008, IEEE Transactions on Power Delivery.

[27]  Carlos Sartori,et al.  An analytical-FDTD method for near LEMP calculation , 2000 .

[28]  Tran Huu Thang,et al.  A Simplified Model of Corona Discharge on Overhead Wire for FDTD Computations , 2012, IEEE Transactions on Electromagnetic Compatibility.

[29]  V. Rakov,et al.  Remote Measurements of Currents in Cloud Lightning Discharges , 2011, IEEE Transactions on Electromagnetic Compatibility.

[30]  Yoshihiro Baba,et al.  FDTD Analysis of the Current Distribution within the Grounding System for a Wind Turbine Generation Tower Struck by Lightning , 2008 .

[31]  Yoshihiro Baba,et al.  Influence of strike object grounding on close lightning electric fields , 2008 .

[32]  Fei Zhao,et al.  Finite-Difference Time-Domain Analysis of the Electromagnetic Environment in a Reinforced Concrete Structure When Struck by Lightning , 2010, IEEE Transactions on Electromagnetic Compatibility.

[33]  Taku Noda,et al.  Three-Dimensional FDTD Calculation of Lightning-Induced Voltages on a Multiphase Distribution Line With the Lightning Arresters and an Overhead Shielding Wire , 2014, IEEE Transactions on Electromagnetic Compatibility.

[34]  M.S. Sarto,et al.  Lightning Indirect Effects Certification of a Transport Aircraft by Numerical Simulation , 2008, IEEE Transactions on Electromagnetic Compatibility.

[35]  V. Rakov,et al.  Determination of the electric field intensity and space charge density versus height prior to triggered lightning , 2011 .

[36]  Taku Noda,et al.  Experimental and analytical studies of lightning overvoltages in wind turbine generator systems , 2009 .

[37]  Li-Hua Shi,et al.  Analysis of Lightning-Induced Voltages on Overhead Lines Using a 2-D FDTD Method and Agrawal Coupling Model , 2008, IEEE Transactions on Electromagnetic Compatibility.

[38]  Tran Huu Thang,et al.  FDTD Simulation of Lightning Surges on Overhead Wires in the Presence of Corona Discharge , 2012, IEEE Transactions on Electromagnetic Compatibility.

[39]  V. P. Idone,et al.  Lightning return stroke velocities in the thunderstorm research international program (TRIP) , 1982 .

[40]  S Okabe,et al.  Measured Distortion of Current Waves and Electrical Potentials With Propagation of a Spherical Wave in an Electromagnetic Field , 2010, IEEE Transactions on Electromagnetic Compatibility.

[41]  Eiji Kaneko,et al.  A Simulation Study of Induced Surge on Low Voltage Distribution System Nearby the Lightning Point , 2010 .

[42]  S Sekioka,et al.  Analytical Surveys of Transient and Frequency-Dependent Grounding Characteristics of a Wind Turbine Generator System on the Basis of Field Tests , 2010, IEEE Transactions on Power Delivery.

[43]  Emmanuel Perrin,et al.  Using a Design-of-Experiment Technique to Consider the Wire Harness Load Impedances in the FDTD Model of an Aircraft Struck by Lightning , 2013, IEEE Transactions on Electromagnetic Compatibility.

[44]  Y. Baba,et al.  Influences of the Presence of a Tall Grounded Strike Object and an Upward Connecting Leader on Lightning Currents and Electromagnetic Fields , 2007, IEEE Transactions on Electromagnetic Compatibility.

[45]  V. Rakov,et al.  Electromagnetic Fields at the Top of a Tall Building Associated With Nearby Lightning Return Strokes , 2007, IEEE Transactions on Electromagnetic Compatibility.

[46]  Y. Baba,et al.  On the mechanism of attenuation of current waves propagating along a vertical perfectly conducting wire above ground: application to lightning , 2005, IEEE Transactions on Electromagnetic Compatibility.

[47]  Taku Noda,et al.  A Simulation Study of Lightning Surge Characteristics of a Distribution Line Using the FDTD Method , 2008 .

[48]  Lorena F. P. Carvalho,et al.  Analysis of voltages induced on power outlets due to atmospheric discharges on Radio Base Stations , 2013 .

[49]  Y. Baba,et al.  Voltages induced on an overhead wire by lightning strikes to a nearby tall grounded object , 2006, IEEE Transactions on Electromagnetic Compatibility.

[50]  Tran Huu Thang,et al.  FDTD Simulations of Corona Effect on Lightning-Induced Voltages , 2014, IEEE Transactions on Electromagnetic Compatibility.

[51]  Masaru Ishii,et al.  Induced voltages and currents on electrical wirings in building directly hit by lightning , 2010, 2010 30th International Conference on Lightning Protection (ICLP).

[52]  Farhad Rachidi,et al.  Electromagnetic Fields of a Lightning Return Stroke in Presence of a Stratified Ground , 2014, IEEE Transactions on Electromagnetic Compatibility.

[53]  Rouzbeh Moini,et al.  Evaluation of LEMP effects on complex wire structures located above a perfectly conducting ground using electric field integral equation in time domain , 1998 .

[54]  M. Ianoz,et al.  Transient analysis of multiconductor lines above a lossy ground , 1999 .

[55]  S.H.H. Sadeghi,et al.  On Representation of Lightning Return Stroke as a Lossy Monopole Antenna With Inductive Loading , 2008, IEEE Transactions on Electromagnetic Compatibility.

[56]  A. Liew,et al.  Dynamic model of impulse characteristics of concentrated earths , 1974 .

[57]  Hao Wu,et al.  Finite difference time domain simulation of lightning transient electromagnetic fields on transmission lines , 2013, IEEE Transactions on Dielectrics and Electrical Insulation.

[58]  Peter B. Johns,et al.  Numerical solution of 2-dimensional scattering problems using a transmission-line matrix , 1971 .

[59]  Dongshu Li,et al.  Validation of the Cooray‐Rubinstein (C‐R) formula for a rough ground surface by using three‐dimensional (3‐D) FDTD , 2013 .

[60]  A. Ruehli Equivalent Circuit Models for Three-Dimensional Multiconductor Systems , 1974 .

[61]  T. Noda,et al.  A Numerical Simulation of Transient Electromagnetic Fields for Obtaining the Step Response of a Transmission Tower Using the FDTD Method , 2008, IEEE Transactions on Power Delivery.

[62]  Yoshihiro Baba,et al.  On the transmission line model for lightning return stroke representation , 2003 .

[63]  C. Yang,et al.  Calculation methods of electromagnetic fields very close to lightning , 2004, IEEE Transactions on Electromagnetic Compatibility.

[64]  N. Nagaoka,et al.  Modeling of thin wires in a lossy medium for FDTD simulations , 2005, IEEE Transactions on Electromagnetic Compatibility.

[65]  S. Cummer,et al.  An FDTD model for low and high altitude lightning-generated EM fields , 2006, IEEE Transactions on Antennas and Propagation.

[66]  Vladimir A. Rakov,et al.  New measurements of lightning electric fields in Florida: Waveform characteristics, interaction with the ionosphere, and peak current estimates , 2012 .

[67]  Jean-Pierre Berenger,et al.  A perfectly matched layer for the absorption of electromagnetic waves , 1994 .

[68]  Taku Noda A Tower Model for Lightning Overvoltage Studies Based on the Result of an FDTD Simulation , 2007 .

[69]  Akihiro Ametani,et al.  Transient Magnetic Fields and Current Distributions in an Electric Vehicle Caused by a Lightning Stroke , 2013 .

[70]  Guido Ala,et al.  Finite difference time domain simulation of earth electrodes soil ionisation under lightning surge condition , 2008 .

[71]  Ashok K. Agrawal,et al.  Transient Response of Multiconductor Transmission Lines Excited by a Nonuniform Electromagnetic Field , 1980 .

[72]  J. Bérenger Long range propagation of lightning pulses using the FDTD method , 2005, IEEE Transactions on Electromagnetic Compatibility.

[73]  Tomomi Narita,et al.  Simulation of electromagnetic field in lightning to tall tower , 1999 .

[74]  Motoyuki Sato,et al.  Analysis of Lightning Electromagnetic Field on Large-scale Terrain Model using Three-dimensional MW-FDTD Parallel Computation , 2012 .

[75]  Jun Takami,et al.  Overvoltages on DC Side of Power Conditioning System Caused by Lightning Stroke to Structure Anchoring Photovoltaic Panels , 2014 .

[76]  S. Visacro,et al.  HEM: a model for simulation of lightning-related engineering problems , 2005, IEEE Transactions on Power Delivery.

[77]  Jeremy A. Landt,et al.  Three Dimensional Time Domain Modelling of Lightning , 1987, IEEE Transactions on Power Delivery.

[78]  Qun Wu,et al.  FDTD Modeling of the Earthing Conductor in the Transient Grounding Resistance Analysis , 2012, IEEE Antennas and Wireless Propagation Letters.

[79]  Farhad Rachidi,et al.  A finite-difference time-domain approach for the evaluation of electromagnetic fields radiated by lightning strikes to tall structures , 2008 .

[80]  Cheng Gao,et al.  Optimized Programs for Shaped Conductive Backfill Material of Grounding Systems Based on the FDTD Simulations , 2014, IEEE Transactions on Power Delivery.

[81]  S. Okabe,et al.  3-D FDTD Computation of Lightning-Induced Voltages on an Overhead Two-Wire Distribution Line , 2012, IEEE Transactions on Electromagnetic Compatibility.

[82]  Yoshihiro Baba,et al.  Electromagnetic models of the lightning return stroke , 2007 .

[83]  Taku Noda,et al.  Development of a Technique for Representing Lightning Arresters in the Surge Simulations based on the FDTD Method and its Application to the Calculation of Lightning-Induced Voltages on a Distribution Line , 2010 .

[84]  William A. Chisholm,et al.  Lightning Surge Response of Ground Electrodes , 1989, IEEE Power Engineering Review.

[85]  Yoshihiro Baba,et al.  FDTD Electromagnetic Analysis of a Wind Turbine Generator Tower Struck by Lightning , 2008 .

[86]  V. Rakov,et al.  Electromagnetic models of lightning , 2008, 2008 Asia-Pacific Symposium on Electromagnetic Compatibility and 19th International Zurich Symposium on Electromagnetic Compatibility.

[87]  Qun Wu,et al.  A new perspective to the attributes of lightning electromagnetic field above the ground , 2013 .

[88]  M. Uman,et al.  The electromagnetic radiation from a finite antenna , 1975 .

[89]  Farhad Rachidi,et al.  Influence of corona on the voltages induced by nearby lightning on overhead distribution lines , 2000 .

[90]  Liang Zhang,et al.  The Influence of the Horizontally Stratified Conducting Ground on the Lightning-Induced Voltages , 2014, IEEE Transactions on Electromagnetic Compatibility.

[91]  V Cooray,et al.  Validity of Simplified Approaches for the Evaluation of Lightning Electromagnetic Fields Above a Horizontally Stratified Ground , 2010, IEEE Transactions on Electromagnetic Compatibility.

[92]  Taku Noda,et al.  Improvements of an FDTD-based surge simulation code and its application to the lightning overvoltage calculation of a transmission tower , 2007 .

[93]  M. Rubinstein,et al.  An approximate formula for the calculation of the horizontal electric field from lightning at close, intermediate, and long range , 1996 .