The mark IX generator

Simulation of Helical Flux Compression Generator

“…where n is the winding density, the stator radius R S and armature radius R A are both functions of z, while R A is also time-dependant. According to 2D approach [1] the total HFCG inductance is presented as a sum of axial L z and azimuth L θ components due to axial and azimuth currents in HFCG circuit: L g = L θ + L z . Contribution due to axial current can be derived from [6], [10]:…”

“…The effective approach to calculation of HFCG inductance L θ due to azimuth currents was proposed by [1] and considered in details in [6]. This approach implies approximation of HFCG conductors by a set of single-turn cylindrical sheet perfectly conducting solenoids (rings) of infinitesimal width ∆z → 0, each carrying a uniform current.…”

“…Being easily varied by size, shape, coil pitch and means for initial flux creation, HFCG could be used for various high-energy and high-current pulsed power applications. Development of high-performance generators requires accurate modelling of HFCGs operation by the use of a 2D or even a 3D approach [1]- [4] and consideration of multiple factors [5], [6] affecting HFCG gain, efficiency and output parameters. Some of theses factors (like 2-pi clocking, crowbar losses, electrical breakdown etc.)…”

“…FCGcalc allows selecting multiple options. One-or two-dimensional model can be used for inductance calculation ("1D" or "2D" options) [1], [10]. Two approaches are available to describe armature expansion: the armature expanding part is either considered to be a cone, which angle is equal to the armature expansion angle (armature velocity) defined by Gurney equation [8], or calculated by equations of a hollow tube motion under the pressure of detonation products according to [6], [9] ("Gurney" or "pressure" options).…”