OnePorts_abg.tex

MTT command:

mtt OnePorts abg tex

Figure 1.1: System OnePorts: acausal bond graph

The acausal bond graph of system OnePorts is displayed in Figure 1.1 (on page ); it contains the one port components: R, C and I in each of the two possible causalities.

Note that the R has no prefered causality and, in this case, a causal stroke must be provided by the user. On the other hand, the C and I components are assigned prefered causality by MTT in the 3rd and 5th cases where no stroke is assigned by ther user. In the 4th and 6th cases, the user provides a causal stroke to put the components into derivative causality. 1.2 (on page ) shows the causality automatically completed for the 3rd and 5th cases.

Section 1.5 (on page ) gives the system equations, $y_1$ to $y_6$ are the outputs (with the given causality) of the 6 components and $u_1$ to $u_6$ are the coresponding inputs. $x_1$ and $x_2$ are the states of the 3rd and 5th cases (ie integrated flow and effort respectively), $z_1$ and $z_2$ are the corresponding quantities for the the 4th and 6th cases, the two components in derivative causality.