Operation Characteristics of Diverging Magnetic Field Electrostatic Thruster

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Operation Characteristics of Diverging Magnetic Field Electrostatic Thruster IEPC-07-9 Presented at the 5th International Electric Propulsion Conference Georgia Institute of Technology Atlanta, Georgia USA Daisuke Ichihara, Akira Iwakawa and Akihiro Sasoh Nagoya University, Nagoya, Aichi, 464-860, Japan Abstract: Operation characteristics of diverging magnetic field electrostatic thruster (DM-EST) that has a diverging magnetic field applied by solenoid coil in the ion acceleration region, which comprised a ring anode in upstream region and off-axis hollow cathode in downstream region. By increasing the strength of magnetic field near the ring anode, injected propellant was fully ionized and obtained kinetic energy of 79% of discharge energy. Based on these results, permanent magnet used DM-EST was developed and demonstrated % of thrust efficiency at 700 sec of specific impulse. Nomenclature E i = ion beam energy F = thrust I sp = specific impulse Ĵ = propellant flow rate through the annular slit in current equivalent Ĵ = propellant flow rate through the hollow cathode in current equivalent J d = discharge current J i = total ion beam current J k = keeper current r, z = cylindrical coordinates V d = discharge voltage V k = keeper voltage η = thrust efficiency θ = half-beam divergence angle I. Introduction itigating collisions between electrostatically accelerated ions and discharge channel wall is one of the most Mimportant challenge to extend the life-time of electric propulsion. In an ion thruster, acceleration grids are designed based on ion trajectory calculation. In a stationary-plasma-thruster (SPT)-type Hall thruster, intensive investigation were performed such as magnetic shielding and wall-less Hall thruster. Cylindrical Hall thrusters 4, high efficiency multistage plasma thrusters 5, and cusped-field thrusters 6 have a cusped magnetic field in order to accelerate ions apart from the discharge channel wall. Harada et al 7 demonstrated electrostatic ion acceleration by combining a cusped magnetic field with ring anode and hollow cathode. We inspired by this result and proposed the diverging magnetic field electrostatic thruster (DM-EST) 8. For utilizing applied voltage to accelerate ions efficiently, generating ions near the anode potential region is important. In ref. 8 we reported that by injecting the working gas Research associate, Department of Aerospace Engineering, ichihara@fuji.nuae.nagoya-u.ac.jp. Lecturer, Department of Aerospace Engineering, iwakawa@nuae.nagoya-u.ac.jp. Professor, Department of Aerospace Engineering, sasoh@nuae.nagoya-u.ac.jp.

only from the ring anode inner surface, both ionization and electrostatic acceleration performances were enhanced. In this paper, magnetic field profile effects on the ion generation and electrostatic acceleration are investigated. II. Experimental apparatus Figure shows a schematic of the nominal condition of DM-EST. The primary components such as solenoid coil, ring anode and the hollow cathode and insulating channel walls were same as these of HEST 7. An insulating plate fabricated using boron nitride was located inside the ring anode. The propellant, argon, was injected through the.5- mm-thick annular slit between the inner surface of the ring anode and the insulating plate. The orifice of the hollow cathode (DLHC-000, Kaufman & Robinson, Inc.) was located at 70 mm off-axis and 75 mm downstream from the solenoid coil center. In order to modify the magnetic field profile inside the ring anode, a ring yokes fabricated using soft iron were introduced. Figure shows the two magnetic field profiles, types N and A. Here, the cylindrical coordinates (r, z) are defined on the central axis with their origin at the downstream surface of the insulating plate. The magnetic field type N was the same as that used in refs. 7 and 8. Type N has uniform magnetic field strength, that is, B(0 mm, 0 mm) = (.5 mm, 0 mm) = 00 mt. In Type A, the insulating plate was backed by a copper inner support. By using yokes and outer support fabricated using soft iron, the magnetic field was strengthened near the ring anode inner surface, that is, B(0 mm, 0 mm) = 50 mt and B(.5 mm, 0 mm) = 50 mt. Figure. Schematic and electrical circuit of DM-EST, magnetic field type N. Figure. Applied-magnetic fields, (a) Type N, and (b)type A. Figure shows a schematic of the DM-EST with flare-yoke. Type II has similar electromagnetic configurations. Yet, diverging magnetic field was applied by using Nd-FE-B permanent magnets and yokes. To make a diverging magnetic field, flare-shape yoke was used. The flare angle was set to 8 deg. The ring anode inner diameter was 7 mm. Propellant, argon, was injected through.5-mm-thick injection slit. The same hollow cathode as that of Type I thruster was located at mm off-axis and 7 mm downstream from the downstream surface of the insulating plate.

Figure. Schematic and electrical circuit of DM-EST with permanent magnets. To evaluate the ion beam energy E i from an ion energy distribution function (IEDF), a retarding potential analyzer (RPA) was used. The ion beam current J i and half-beam divergence angle <θ> were measured using a nude Faraday probe. Generated thrust F was measured by using gravitational pendulum type thrust stand. E i, J i, <θ>, and discharge current J d measurements were conducted with Type I thruster. For thruster type II, F, and J d were measured. III. Experimental results All experiments were conducted in a.-m-long,.-m-diameter stainless steel vacuum chamber. The propellant supplied through the slit and through the hollow cathode was argon (purity 99.9999%). The propellant flow rate through the slit, Ĵ, was fixed to.0 Aeq for thruster Type I and varied from.0 Aeq to 4.0 Aeq for thruster Type II. Discharge voltage V d ranged from 5 V to 00 V. The hollow cathode was operated with a propellant flow rate, Ĵ, of 0.6 Aeq and keeper current of.0 A. Figure 4(a) and (b) shows snapshots of thruster Type I and II in specific operating conditions, respectively. (a) (b) Figure 4. Snapshot during experiment in specific conditions, (a) thruster Type I in Ĵ =.0 Aeq, Vd = 5 V and (b) thruster Type II in Ĵ =.0 Aeq, Vd = 75 V

Table summarizes the ion generation and acceleration characteristics of Type I thruster. By applying Type N magnetic field, E i and J d increased linearly with increasing V d. At V d = 5 V operation, E i/v d equaled 0.59. <θ> also showed increasing dependence on V d. Operation under Type A magnetic field showed another trend from Type N magnetic field operation. At V d = 5 V operation, E i was not calculated due to low signal-to-noise ratio. As increasing V d, E i increased linearly with the same increasing rate of de i/dv d.0. At V d = 5 V, E i/v d reached 0.79. Ji increased with increasing V d. However, J i saturated at a value slightly higher than total injected propellant flow rate Ĵ + Ĵ (=.6 Aeq). J d did not showed the saturation but increased linearly, up to times higher than Ĵ, with increasing V d. <θ> decreased with increasing V d and saturated at about 9 deg. As shown in Fig. (b), increasing magnetic field strength near the ring anode enhanced the ion generation and electrostatic acceleration performance. Table. Ion generation and acceleration characteristics of thruster Type I, Ĵ =.0 Aeq, Ĵ = 0.6 Aeq Magnetic field type V d, V E i, ev J i, A J d, A <θ> N 75 99 0.79.77 49.7 00 6.04.8 50.5 5.. 5. A 5 0.87.79 4.0 50 96..05 40. 75.6.6 9. 00 55.44.47 9. 5 78.49.7 9. Table summarizes the operation characteristics of Type II thruster. Regardless of Ĵ, both F and J d increased as increasing V d. Thrust efficiency η had a maximum value at Ĵ =.0 Aeq operation. Among the examined conditions, the maximum thrust efficiency was % with 700 sec of specific impulse I sp. Table. Operation characteristics of thruster Type II, Ĵ = 0.6 Aeq Ĵ, Aeq V d, V F, mn J d, A I sp, sec η, %.0 50 7.9.6 89 7.4 00.9.7 44.7 50 8.6 4. 9 5.9 00.0 4.8 87 5.4.0 50.0 7.4 67 8. 75 4. 7.5 500 0.0 00 7.8 7.6 764. 4.0 00 4. 7.6 55 0. 50.8 9. 900.4 75 7.7 9.9 4. 00 4. 0. 5.0 IV. Conclusion Operation characteristics of diverging magnetic field electrostatic thruster (DM-EST) was investigated. By increasing magnetic field strength near anode, both ion generation and electrostatic acceleration were enhanced, injected propellant gas was fully ionized and electrostatically accelerated up to 79% of applied voltage. Thrust efficiency of the permanent magnet type DM-EST had an optimal propellant flow rate. The maximum thrust efficiency reached % at 700 sec of specific impulse. Acknowledgments This work was supported by JSPS KAKENHI (JP5H0). The authors thanks to Akira Saitoh of the Technical Division, Nagoya University, for his technical supports. 4

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