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Fig. 4. Equivalent circuits for operation modes of the proposed DC-DC convrter. (a) Mode I; (b) Mode II; (c) Mode III; (d) Mode IV.  Applying the KVL to the loops is Fig. 4, in modes // ai IV, the voltage across Lm is determined as:

Figure 4 Equivalent circuits for operation modes of the proposed DC-DC convrter. (a) Mode I; (b) Mode II; (c) Mode III; (d) Mode IV. Applying the KVL to the loops is Fig. 4, in modes // ai IV, the voltage across Lm is determined as: