Current inductance graphs

Semiconductor switches in power electronic inverters are commonly made up of a transistor together with a diode in anti-paraUel connection as depicted in Fig. 2.13a for a bipolar transistor to provide a path for an inductive load current when conducting switches are turned off and thus to avoid damage of the transistors in an inverter. MOSFET transistors have a built-in diode. Figure2.13b shows a bond graph model of such a transistor-diode pair. 

Still at the level of a surface point, but in the opposite corner of a Formal Graph, an inductive current density is dehned as the contrarotational of the electromagnetic held and a capacitive current density is dehned as the time derivative of the electric displacement... 

GRAPH 10.14 Formal Graph representations of the admittance of an inductive constant phase element (a) and of a capacitive one (b). The cross near the flow node (current) symbolizes a multiplication of operators (and not an addition) with the respective weights indicated near the arrow head. 

The first question was answered by Network Thermodynamics (e.g. Oster et al., 1973 Schnakenberg, 1977 Peusner, 1985) adopting the bond graph technique. This approach benefits from the formal correspondence between certain interpretations of nonequilibrium thermodynamics and of electrical network theory. Adopting the notions of chemical impedance , chemical capacity and chemical inductance , chemical reactions as well transport processes can be represented by networks obeying KirchhofFs current and voltage laws. 

B. C. Ghosh and S.N. Bhadra. Bond graph simulation of a current source inverter driven induction motor (csi-im) system. Electric Machines and Power Systems, 21(l) 51-67, 1993. B. Umesh Rai and L. Umanand. Bond graph model of doubly fed three phase induction motor using the axis rotator element for frame transformation. Simulation Modelling Practice and... 

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