A New Tool for Calculation of Lightning-Induced Voltages in Power Systems—Part I: Development of Circuit Model

In this paper, we present a new tool for lightning-induced voltage calculations. The tool, a circuit model which can be integrated into power systems simulators, is based on the theory developed by Andreotti (2001, 2009, 2013). In Part II, the accuracy, stability, and efficiency of the new tool are demonstrated via comparison with other solutions/codes found in the literature and with experimental data.

[1]  C. Taylor,et al.  The response of a terminated two-wire transmission line excited by a nonuniform electromagnetic field , 1965 .

[2]  M. Uman,et al.  Magnetic field of lightning return stroke , 1969 .

[3]  F. M. Tesche.  Comparison of the transmission line and scattering models for computing the HEMP response of overhead cables , 1992 .

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

[5]  S Sekioka,et al.  Return-Stroke Model Segmentation and its Application to Lightning-Induced Surges Calculation , 2011, IEEE Transactions on Electromagnetic Compatibility.

[6]  A. Taflove,et al.  Finite-Difference Time-Domain Methods , 2005 .

[7]  E. Sunde.  Earth conduction effects in transmission systems , 1949 .

[8]  S. A. Schelkunoff,et al.  The electromagnetic theory of coaxial transmission lines and cylindrical shields , 1934 .

[9]  N. Nahman,et al.  Transient analysis of coaxial cables using the skin effect approximation A+Bsqrt{s} , 1972 .

[10]  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.

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

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

[13]  F. M. Tesche,et al.  Transmission Line Theory for Field-to-Transmission Line Coupling Calculations , 1988 .

[14]  A. Andreotti,et al.  A mixed frequency and time domain approach for accurate evaluation of the dynamics of lemp-excited lossy multiconductor power lines , 2001 .

[15]  T. Sarkar,et al.  Analysis of Multiconductor Transmission Lines , 1988, 31st ARFTG Conference Digest.

[16]  Farhad Rachidi,et al.  An Advanced Interface Between the LIOV Code and the EMTP-RV , 2008 .

[17]  P. Girdinio,et al.  Time-Domain Implementation of Cooray–Rubinstein Formula via Convolution Integral and Rational Approximation , 2011, IEEE Transactions on Electromagnetic Compatibility.

[18]  Farhad Rachidi,et al.  Electromagnetic Field Interaction with Transmission Lines : From Classical Theory to HF Radiation Effects , 2008 .

[19]  Hermann W. Dommel,et al.  Calculation of lightning-induced voltages with RUSCK's method in EMTP: Part I: Comparison with measurements and Agrawal's coupling model , 2001 .

[20]  Hans Kristian Hoidalen,et al.  Analytical formulation of lightning-induced voltages on multiconductor overhead lines above lossy ground , 2003 .

[21]  A. Andreotti,et al.  Analytical Formulations for Lightning-Induced Voltage Calculations , 2013, IEEE Transactions on Electromagnetic Compatibility.

[22]  Farhad Rachidi,et al.  Formulation of the field-to-transmission line coupling equations in terms of magnetic excitation field , 1993 .

[23]  Antonio Maffucci,et al.  An accurate time‐domain model of transmission lines with frequency‐dependent parameters , 2000, Int. J. Circuit Theory Appl..

[24]  M. Ianoz,et al.  Influence of a lossy ground on lightning-induced voltages on overhead lines , 1996 .

[25]  A. Andreotti,et al.  An Analytical Approach to Calculation of Lightning Induced Voltages on Overhead Lines in Case of Lossy Ground—Part I: Model Development , 2013, IEEE Transactions on Power Delivery.

[26]  F. Rachidi,et al.  Mitigation of lightning-induced overvoltages in medium Voltage distribution lines by means of periodical grounding of shielding wires and of surge arresters: modeling and experimental validation , 2004, IEEE Transactions on Power Delivery.

[27]  A. Andreotti,et al.  An Exact Closed-Form Solution for Lightning-Induced Overvoltages Calculations , 2009, IEEE Transactions on Power Delivery.

[28]  A. Umbert,et al.  GROUND EFFECTS IN THE RESPONSE OF A SINGLE-WIRE TRANSMISSION LINE ILLUMINATED BY AN E.M.P. , 1982 .

[29]  Antonio Maffucci,et al.  Irregular terms in the impulse response of a multiconductor lossy transmission line , 1999 .

[30]  Vernon Cooray,et al.  Lightning-induced overvoltages in power lines: validity of various approximations made in overvoltage calculations , 1998 .

[31]  A. Rubio Bretones,et al.  Finite difference time domain methods , 2003 .