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The results of numerical simulations of electron beam generation in a vacuum coaxial diode where the electron emission is governed first by field emission and then by explosive emission are presented. It is shown that the transition from field emission to explosive emission leads to the generation of anomalous fast electrons with energies larger than the applied voltage. The latter occurs due to the acceleration of the field-emitted electrons by the self-electric field of the electrons that are emitted into the cathode-anode gap at the beginning of the explosive emission. It is shown that the energy of anomalous electrons depends on the radius of the cathode, time of the beginning of the explosion emission, and the amplitude of the cathode potential and its rise time.