DC-DC resonant converters benefit from soft switching and reduced peak currents over other topologies. However, the design and control of resonant converters are challenging due to non-linearities in the resonant tanks. This research focuses on design and control methods for two-port and three-port resonant converters in EV applications. The two-port LLC resonant converter is attractive for on-board charger applications. However, if not appropriately designed, the frequency-modulated LLC converters will have a wide range of switching frequencies and lose efficiency in wide voltage range OBC applications. Hence, practicing proper converter design and control methods is essential to maximize efficiency. This work proposes a design framework for a wide-voltage range LLC converter to enhance efficiency. Topology morphing is used to reduce the effective voltage gain, and an online topology morphing method, along with a cascaded closed-loop control system, is also proposed. Three-port DC-DC converters can facilitate power transfer among three sources/ sinks. With the emerging trend of dual auxiliary voltages in EVs, the three-port resonant converter topology is an ideal candidate to interface the high voltage battery with low to medium voltages. This work proposes an optimal control method for a TPRC based on duty-ratio and phase-shift control to maximize its efficiency. The control method is optimized using a novel harmonic approximation-based model. A 300 – 700 V input, 250 – 450 V output, 3.3 kW LLC converter is designed and tested to validate the proposed design and control methods of the LLC converter. The time-weighted averaged efficiency above 96.7% is observed over the entire input voltage range. A 400 – 800 V/ 46 – 50 V/ 10 – 14 V, 6kW rated power TPRC is also designed and tested to validate the proposed optimal control method. Peak efficiency of 96.34% is observed, with a maximum efficiency improvement of 12.4% compared to the conventional phase-shift control. / Dissertation / Doctor of Science (PhD) / DC-DC converters are used in numerous electrical applications to transfer power between an energy source and a load while stepping up or down the voltage levels to match their specifications. During the power transfer, losses occur within the DCDC converter from the switching devices and the other converter elements. For high energy efficiency, these converters must have minimal losses. Among the different DC-DC converters, resonant converters are attractive due to their reduced power losses. As the automotive industry rapidly moves towards electrification, DC-DC resonant converters can provide efficient power transfer in electric vehicle (EV) applications. However, the design and control of resonant converters are challenging compared to other DC-DC converters. Therefore, practicing proper design and control methods in DC-DC resonant converters is essential. This thesis proposes optimal design and control methods for DC-DC converters in EV applications to enhance efficiency. The proposed methods are validated using hardware prototypes.