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140 Chapter 4 thereby the plasma potential. The model indicates that the plasma potential reduction and subsequent unstable operation is the result of the lower discharge voltage, and does not occur directly due to the discharge current being lower. This analysis shows that a given thruster design that produces a stable discharge under normal conditions can go unstable due to negative plasma potentials as the pressure rises and the discharge voltage decreases. The plasma potential calculated using Eq. (4.3-63) for two magnet designs is shown in Fig. 4-25(b) for the 23-V NEXIS case, which illustrates the effect of the smaller anode area reducing the plasma potential at a given pressure. In this case, increasing the anode area permitted the discharge current to be cutback 3 2 1 0 −1 −2 −3 10−5 10−4 10−3 Vd = 25 V Vd = 23 V (a) 3 2 1 0 −1 Discharge Chamber Pressure (torr) (b) Unstable Larger Anode Area Smaller Anode Area −2 0 10 20 30 40 50 Time After a Recycle Starts (ms) Fig. 4-25. Plasma potential as a function of pressure for two different discharge voltages (a), and plasma potential versus time (b) showing instability of the smaller anode area design at a given pressure. Plasma Potential (V) Plasma Potential (V)PDF Image | Fundamentals of Electric Propulsion: Ion and Hall Thrusters
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