The study of the infinite structure of linear time varying systems modeled by bond-graph is proposed in the paper. Firstly, a new bond-graph ring model is presented and the correspondence between the bond graph ring model and the module theory is proposed. Secondly, the Riegle rule is used in order to obtain the input-output representation. Graphical rules are proposed to study the infinite structure of the model. Finally, one application on a thyristor circuit model TCSC used in the power electronics is achieved, showing the efficiency and the simplicity of the approach.