An Analytical Approach to Calculation of Lightning Induced Voltages on Overhead Lines in Case of Lossy Ground—Part I: Model Development

Andreotti (2009, 2013) have presented analytical solutions for the evaluation of voltages induced on lossless, single-, and multi-conductor lines for the case of infinite-conductivity ground and both step and linearly rising currents moving without attenuation and at a constant speed along a vertical lightning channel. These solutions were derived in an exact way (i.e., no approximations were introduced in their derivation). In this paper (Part I), the previous work is extended to the case of lossy ground. In the companion paper (Part II), the results obtained using this new formulation are compared with those given by other formulas/solutions found in the literature.