Lightning-Induced Magnetic Fields Inside Grid-Like Shields: An Improved Formula Complemented by a Polynomial Chaos Expansion

Susana Naranjo-Villamil (1) , Christophe Guiffaut (2) , Julien Gazave (1) , Alain Reineix (2)

1 EDF R&D LME - Laboratoire des Matériels Électriques
2 XLIM - XLIM

In industrial facilities, evaluating the magnetic fields induced inside reinforced concrete buildings struck by lightning is fundamental to define protection measures. Since carrying out full-wave simulations is not always feasible nor practical daily, we propose a variant of the formula given in the standard IEC 62305-4 to calculate the peak values of the magnetic field strength inside grid-like shields formed by the reinforcing steel bars of the buildings. The formula is complemented by a sparse polynomial chaos expansion (PCE) to take into account various geometrical configurations of the grid-like shields. The PCE can be used independently to extrapolate the peak values from the results of either the formula or another computational method. The error of the formula and the PCE are estimated based on the simulation of the reinforcement of ten full-scale buildings for the first, and using alternative PCEs and Monte Carlo sampling for the second.

Mots clés: Lightning; magnetic field; reinforced concrete building; sparse polynomial chaos expansion (PCE)

Domaines: Electromagnétisme

Susana Naranjo-Villamil, Christophe Guiffaut, Julien Gazave, Alain Reineix. Lightning-Induced Magnetic Fields Inside Grid-Like Shields: An Improved Formula Complemented by a Polynomial Chaos Expansion. IEEE Transactions on Electromagnetic Compatibility, 2021, 63 (2), pp.558 - 570. ⟨10.1109/TEMC.2021.3056320⟩. ⟨hal-03159276⟩