Coupled wave model for large magnet coils
G. J. Gabriel, United States. National Aeronautics and Space Administration. Scientific and Technical Information Branch, Lewis Research Center
National Aeronautics and Space Administration, Scientific and Technical Information Branch, 1980 - Science - 49 pages
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admittance matrix analysis array capacitance circuit theory coil behavior coil geometry coil protection coil response coil terminals column vector computational conductor copper substrate coupled wave model damping resistors Decay of initial defined dielectric breakdown discrete steps distributed e"ST electromagnetic field electromagnetic transients evolve in discrete experimental field theory helical coordinates high voltage breakdown incident pulses inductive coupling matrix initial current interconnection matrix inverse Laplace transform layer low frequency resonance lumped inductor manifestation of coupled multiple reflections multiturn coils number of turns observed oscillation overdamped parameters power series reflected pulse reflected term reflection coefficient resonance frequency result s-plane sequence shown in Fig significant single turn skin effect solenoid solution spaced frequencies standing waves switching terminal current terminal voltage theory of coupled transmission line travel in unison turn coil turn-to-turn coupling two-turn coil typical underdamped vector coefficients voltage and current Vt(s wave equation wave front wire length Yt(s Z-transform