Variational analysis of a plasma-arc armature inside a railgun solid-hydrogen-pellet accelerator for fueling fusion reactors |
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Institution: | 1. Ioffe Physical-Technical Institute, Saint-Petersburg, Russia;2. Design Bureau ”Arsenal”, Saint-Petersburg, Russia;3. St.Petersburg State Polytechnical University, Saint-Petersburg, Russia;1. Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences, St. Petersburg, Russia;2. Emperor Alexander I St. Petersburg State Transport University, St. Petersburg, Russia |
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Abstract: | The physical properties of a plasma-arc armature inside a hydrogen-pellet injector composed of a two-stage electromagnetic railgun are calculated by solving appropriate governing equations under simplifying assumptions. A variational method is employed to solve the temperature equation with the constraints that the variational integral must be minimized for a given plasma arc current and that the global enthalpy must be conserved. The magnetic field and the propulsive force of the railgun are calculated by modeling each current path as a composite of straight lines. The resulting railgun force is compared with the data from a recent hydrogen-pellet acceleration experiment at the University of Illinois, with reasonable agreement. |
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