CM

Figure 1.2: System CM: acausal bond graph

The acausal bond graph of system CM is displayed in Figure 1.2 (on page ) and its label file is listed in Section 1.1.3 (on page ). The subsystems are listed in Section 1.1.3 (on page ).

CM is an electromechanical moving-plate capacitor with linear electrical capacitance $c$ of the form

$$c = c_0 \frac{x_0}{x}$$ (1.1)

where $x_0$ is the plate separation corresponding to a capacitance of $c_0$. The corresponding electrical constitutive relationship (which gives an energy-conserving two-port C) is

$$F = Q c_0 \frac{x_0}{x^2}$$ (1.2)

where $F$ is the force between the plates and $Q$ the charge on the capacitor. This is implemented in the cm.cr Constitutive Relationship.