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Secondary arc caused by single-phase earthing fault in transmission system is with great uncertainty. To compensate the shortcomings of arcing tests, numerical modeling and simulation method has become an important feasible tool to investigate and predict the features of secondary arc. The simulation model for secondary arc in transmission system was established in the paper. Secondary arc caused by single-phase earthing fault in UHVAC demonstration project was taken as an example, to simulate arc movement, arc current waveforms, and the duration time of secondary arc. The simulation results conform to the measured data in artificial test, which validates the simulation model of secondary arc being fit for the engineering application.