Mathematical Models for High-Intensity Discharge Lamps

Mathematical models have been determined for mercury and high-pressure sodium electric discharge lamps. The models consist of a set of nonlinear differential equations. They reproduce the electrical characteristics of the lamps from dc to the high audio frequencies with good accuracy. They permit computer simulation of electronic or reactive ballasting circuits. Also, they yield a better qualitative understanding of the properties of a discharge lamp as an electric circuit element. The methods by which these models were determined are described, and the pertinent lamp properties are measured.