AN APPROACH TO MODELING DC-DC CONVERTER CIRCUITS USING GRAPH-THEORETIC CONCEPTS

An approach to modelling DC-DC converter circuits based on graph theoretic concepts is discussed in this paper. The DC-DC converter circuits are treated as networks containing switches, with the magnitudes of their associated eigenvalues much smaller than the switching frequency. The procedure for modelling this class of networks essentially involves separating the original network into two N-port networks, one containing those branches responsible for all phenomena peculiar to the switching action and the other containing the remaining branches of the network. The two N-port networks thus formed lead to a systematic and convenient way of developing low-frequency circuit models for DC-DC converter circuits.