Analysis and Design of the LLC LED Driver Based on State-Space Representation Direct Time-Domain Solution

Abstract

The LLC resonant converter has been widely used in switched power supply covering several kinds of applications. Although it has been the focus of numerous analysis, their general time-domain (TD) solution is not completely enclosed due to its complexity given by the multiple resonance nature and its variable structure behavior. Consequently, the LLC converter design is also impaired by the lack of an enclosed TD solution. To overcome these issues, this article systematically presents a highly accurate TD solution of the LLC converter supplying a light-emitting diode (LED) load, which is obtained from the state-space representation direct TD solution. Dissimilar to preceding analyses, all the converter states are considered and no current and voltage sinusoidal or average value approximations are taken. Finally, supported by the TD analysis, a new LLC LED driver design procedure is introduced, which is oriented by weighted-average-efficiency concept and constraints that ensure zero voltage switching, enough power gain, and practical switching frequency range over a wide operating window. Experimental results show the feasibility of the proposed design procedure as well as the accurate TD behavior prediction of the LLC converter supplying an LED load. This article is accompanied by active content that exemplifies the proposed TD solution and design procedure.