Implementation of an analytical formulation for LEMP to assess the lightning performance of a distribution line

  • Edison Soto Universidad Industrial de Santander
  • Ernesto Pérez Universidad Nacional de Colombia
Keywords: Lightning, lightning induced voltages, distribution lines, analytical formulas, electromagnetic field, flashover rate


This paper presents the implementation of an analytical formulation to calculate the lightning electromagnetic pulse (LEMP) assuming a current wave-shape linearly rising with flat top and a transmission Line (TL) return-stroke model. It also describes the development of the expressions for the image dipoles required to calculate the vertical electric field, the azimuthal magnetic field and, specially, the horizontal electric field. The expressions to calculate the contribution of source dipoles were detailed in a previous publication by other authors. The complete formulation is used to calculate electromagnetic fields and lightning-induced voltages on a typical overhead distribution line. The results were compared with traditional formulas to calculate the LEMP (such as Rubinstein’s) and to calculate induced voltages (such as Rusck’s) showing errors below 1%. If a more complex wave shape was used (such as Heidler’s), errors below 5% were found. Additionally, the formula was employed to calculate the flashover rate of a distribution line above a ground with infinite and finite conductivity. Errors less than 5% were found compared to the results obtained in the IEEE 1410 Standard. On the other hand, the computation time required to the assessment of an overhead line indirect lightning performance is reduced by half when the analytical formula is used.

Author Biographies

Edison Soto, Universidad Industrial de Santander

PhD in Engineer, Msc in Electrical Engineer, Escuela de Ingeniería Eléctrica, Electrónica y de Telecomunicaciones

Ernesto Pérez, Universidad Nacional de Colombia

PhD in Engineer, Msc, in Electrical Engineer, Departamento de Energía Eléctrica y Automática


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How to Cite
Soto, E., & Pérez, E. (2018). Implementation of an analytical formulation for LEMP to assess the lightning performance of a distribution line. TecnoLógicas, 21(42), 51-62.


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