In this paper, in terms of theoretical analysis, the Bruce and Goldea function model, Heidler function model and pulse function model are analyzed from three aspects: lightning current function model, spectrum and first derivative. In terms of simulation, the full-wave waveform, the wavehead waveform and the amplitude-frequency distribution were simulated, and finally a new mathematical model of lightning current was proposed, which is more in line with the IEC 61312-1 standard issued. The new function model requires about 10us to reach its peak, and about 352us to decay to half peak. The frequencies it contains are chiefly concentrated in the low rate range of 1 × 10 5 Hz. Compared with the Bruce and Goldea function model, Heidler function model and pulse function model, the proposed new mathematical model of lightning current is more in line with the characteristics of lightning current. The application of lightning current function model plays a crucial role in lightning protection engineering.
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Jia et al. (2024) studied this question.
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