Analysis and design of model based on step response for the stability in lamps HID

In this paper, a simple and effective method to obtain the small signal model of discharge lamps by means of step response is presented. The lamp parameters measurement is improved by means of a circuit based on passive elements. This study describes the conditions that must fulfill the parameters extraction, as well as the additional information that provides the step response test. With this technique, the polar graphs of a 70 W metal halide lamp obtained with step response are compared with those obtained by means of a point to point disturbances injection method. The stability analysis, simulation and experimental results of the lamp-ballast set together with a buck-boost converter are presented.