Average and small signal modeling of zero-voltage transition three-phase boost rectifier is performed. The effect of ZVT is introduced in the existing model for the three-phase boost rectifier using the time-averaging equivalent circuit approach. The small signal model is derived from the average model. The small signal characteristics are compared to the corresponding characteristics without ZVT. A model is also developed for the independent analog current controller. The models are experimentally verified. In order to perform in-depth study of control approaches, a switching model is also developed. The models are used to investigate various control approaches.