The steady state response of a LTI system with singular perturbations in the physical domain

The analysis of a system with singular perturbations in a bond graph approach is presented. The bond graph model (BGI) of this system is described. Hence, the quasi steady state model (SPBG) changing the causality of the storage elements that represent the fast dynamic can be obtained. The steady state response of the quasi steady state model in a bond graph approach is proposed. In order to obtain this response a derivative causality to the storage elements of the slow dynamic on the bond graph (BGD) has to be assigned. Finally, the proposed methodology is applied to a RC network.