aRC_abg.tex

MTT command:

mtt aRC abg tex

Figure 1.1: System aRC: acausal bond graph

The acausal bond graph of system aRC is displayed in Figure 1.1 (on page ) and its label file is listed in Section 1.1.1 (on page ). The subsystems are listed in Section 1.1.2 (on page ).

The system aRC is the simple electrical rc circuit shown in Figure 1.1 (on page ). It can be regarded as a single-input single-output system with input $e_1$ and output $e_2$.

The two resistors ($r_1$ and $r_2$) are in series; this give an undercausal system with a corresponding algebraic loop. The loop is broken by adding the SS component ``loop'' to localise the algabraic equation byh choosing the corresponding flow such that the corresponding effort is zero. This algebraic equation appears in Section 1.4 (on page ).

This loop is algbraicly solved to give the ordinary differential equation of Section 1.5 (on page ) and the transfer function of Section 1.6 (on page ).