Keywords: switching mode power converters, bond graphs, hybrid models, diode model, buck topology, boost, CCM, continuous conduction mode, DCM, discontinuous conduction mode, simulation, mathematical modelling
Bond graph models of DC–DC converters operating for both CCM and DCM
In this paper, bond graphs are employed to develop a novel mathematical model of conventional switched–mode DC–DC converters valid for both continuous and discontinuous conduction modes. A unique causality bond graph model of hybrid models is suggested with the operation of the switch and the diode to be represented by a modulated transformer with a binary input and a resistor with fixed conductance causality. The operation of the diode is controlled using an if–then function within the model. The extracted hybrid model is implemented on a boost and buck converter with their operations to change from CCM to DCM and to return to CCM. The vector fields of the models show validity in a wide operational area and comparison with the simulation of the converters using PSPICE reveals high accuracy of the proposed model, with the normalised root means square error and the maximum absolute error remaining adequately low. The model is also experimentally tested on a buck topology.