An Incremental Model of the Non-ideal Switch

For the sake of a unified bond graph representation of hybrid models that hold for all system modes, in this book, non-ideal switches are used and are represented by means of an MFT msw(0 with msw(0 0,1 V / 0 in conjunction with a resistor R Ron in fixed conductance causality (Fig. 2.12b). 

In ON-mode, the switch model simply reduces to a resistor with the small nominal ON-resistance The constitutive equation of a linear 1-port resistor in conductance causality then leads to an equation for the increments of the power variables. 

The incremental bond graph model of a linear 1 -port resistor R / in resistance causality is obtained by solving (5.8) for Ae. 

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