To investigate the effect of discharge voltage on Hall thruster performance we develop a set of equations for the thrust, electron temperature, and anode efficiency in terms of the discharge voltage. These equations are also useful to analyze effects of dimensional parameters on Hall thruster performance. For a voltage range between 100V and 300V, basic performance characteristics contributed by these equations are comparable with results of previous studies.
Nomenclature= thrust = beam velocity = specific impulse due to anode flow ̇ = anode flow rate = thrust efficiency due to anode flow = discharge power = mass utilization efficiency = voltage utilization efficiency = beam voltage = discharge potential z = thruster's axis direction along plume centerline = plasma layer in thruster's chamber. = ion number density = thruster's chamber outer radius = atomic mass of xenon q = electric charge