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                    Micropropulsion Technologies                                    235


                       Certainly the achievable impulse bit, I, is a function of the specific impulse and
                    the energy in the pulse. Another empirical relationship, as shown in Equation
                    (11.7), has been formulated:

                                               I   I sp ¼ 1:7E 1:65               (11:7)

                    which in turn determines the achievable thrust, T, from Equation (11.8) as the
                    product of pulse frequency and impulse bit

                                                  T ¼ F   I                       (11:8)

                    By changing the energy in the plasma pulse the exhaust velocity and the mass
                    ablated changes. This effect has shown influence on the scalability of the thruster.
                    Thrust-to-power values decrease with decreasing energies per pulse. While thrust-
                    to-power can reach values up to 20 mN/W for hundreds of joules, this value
                    decreases to  10 mN/W for pulse energies of the order 5 J. As suggested by
                    these parameters, achievable impulse bits can be large for large systems ( 10
                    mN sec) and can approach 5 mN sec for small systems.
                    11.2.1.2  System Requirements

                    The PPT can operate in a self-triggering mode or in a controlled-pulsed mode. Both
                    require high voltage (>1 kV) to initiate the discharge. Due to the need for high
                    voltage and the time necessary to charge the capacitors, repetition rates may be
                    limited to less than  10 Hz.
                       The driving circuit is usually fairly simple. A DC–DC converter connects the
                    PPT to the spacecraft bus. The high-voltage output of the converter is used to charge
                    the capacitor bank of a pulse-forming network. Once the surface breakdown voltage
                    along the insulator occurs, a plasma sheet is produced and starts moving. Other
                    ignition possibilities include the use of a switch to apply the high voltage or the use
                    of a preionizer like a spark plug. Once the sheet is formed, the energy left in the
                    capacitor drives the plasma via the Lorentz force.
                       A variety of different PPT configurations have been demonstrated. Many have
                    spring-fed propellants like the side-fed ablative PPT (APPT) or the breech-fed
                    APPT in which a block of Teflon is placed between two electrodes and pushed
                    forward with ongoing erosion. The mPPT manufactured by Busek relies on coaxial
                    geometries, where the propellant erosion leads to increasing recession of the plasma
                    source with ongoing operation as shown in Figure 11.3.
                       The total system mass can be quite low since the power processing electronics
                    are minimal. With its miniature electrode gaps, the micro-PPT benefits from the use
                    of lighter, lower-voltage components. Additionally, the plasma is quasineutral,
                    which allows for operation without an additional neutralizer. However, EMI filter-
                    ing may be necessary due to the pulsed high voltages. The pulsed plasma thruster
                    is summarized in Table 11.1 with a picture of the complete system shown in
                    Figure 11.4.





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