Quantum series resonant converters (SRCs), a subset of SRCs operating on optimal conditions, are modeled. It is shown that this type of SRC can be modeled as a buck/boost converter with an equivalent inductor. Operation of SRCs with boost and buck-boost characteristics is proposed. Modeling of these converters is verified through analysis and simulation results. Using these models, the quantum SRCs can be designed to be controlled with advanced closed-loop feedback, with advantages such as low device switching stress, reliable high-frequency operation, and low EMI (electromagnetic interference).