Abstract
A numerical model has been developed for studying the time-dependent behavior of cylindrical high-pressure mercury discharges. The model makes it possible to calculate time-dependent plasma parameters such as temperature profiles, arc conductance, etc. for arbitrary supply voltage waveforms and frequencies. The model is based on an expansion of the heat flux potential into a series of Bessel functions of zero order. An analytical approximation for the local net emission has to be provided for the model. It has been evaluated as a function of lamp diameter, mercury pressure, axis temperature, and temperature profile by calculating the radiation transport in the mercury lines. The calculated wall temperature and luminous flux as well as the calculated time-dependent lamp voltage, current, and arc temperature profiles are compared with corresponding measurements.
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