Computer Based Electrical Analysis of Homopolar Generator Driven, Bitter Plate Storage Inductors with Radial Current Diffusion
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Maxwell's equations are solved for the operational admittance in the magnetic quasi-static approximation for nonmagnetic cylindrical coils with aximuthal currents and axial magnetic fields. An infinite series, Bessel function solution is obtained and solved for copper coils with given radial dimensions. Coil turns numbers and lengths are design parameters. A multiple branch, shunt network coil model with series resistances and inductances is derived. The UT CEM 5 XJ homopolar generator is modeled with a torque-speed equation including brush and seal drag torques. The brush contact voltage drop is modeled versus surface speed and brush current. Transmission system resistances and inductances are included. Effective depths of current penetration, effective coil resistances and inductances, and peak temperatures are calculated versus time. Coil currents and voltages are obtained, as are system energy storages and dissipations. Peak current times and system discharge times are determined. Slightly underdamped configurations are found.