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Thruster Principles 31 where the subscript “b” represents the beam current and voltage, “ d ” is the discharge current and voltage, “ck” is the cathode keeper current and voltage, “nk” is the neutralizer keeper current and voltage, “A1” represents beam ions incident on the accel grid, “A2” represents charge exchange ions at the accel grid potential Va , “ IDE1 ” represents the decel grid (if present) current from beam ions, and “ IDE 2 ” represents the decel grid current from backstreaming ions from the beam plume. In reality, the accel and decel grid power are very small compared to the other power levels in the thruster. The power that must be dissipated by the thruster is Eq. (2.6.2) minus the beam power: Pin =IdVd +IckVck +InkVnk +IA1(Vb +Va) +IA2Va +IDE1Vb +IDE2VG. (2.6-3) Using the same ion thruster example used previously in this chapter, producing a 2-A beam at 1500 V as an example, Table 2-1 shows some example electrical parameters for a generic ion thruster. Assuming 10% of the grid currents are due to direct interception, using the table parameters in Eq. (2.5-12) gives a dissipated power of 528.3 W. Since the discharge power in this example is Table 2-1. Example of ion thruster parameters used for power dissipation calculation. Parameter Term Nominal Discharge voltage Discharge current (A) Beam voltage Beam current (A) Discharge keeper voltage Discharge keeper current (A) Neutralizer keeper voltage Neutralizer keeper current (A) Accel current (mA) Accel voltage Decel current (mA) Coupling voltage Vd 25 Id 20 VB 1500 IB 2 Vck 10 Ick 1 Vnk 10 Ink 1 IA 20 VA 250 IDE 2 VG 20PDF Image | Fundamentals of Electric Propulsion: Ion and Hall Thrusters
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