The increasingly-electric future requires next-generation power supplies that are compact, efficient, low-cost, and ultra-reliable, even across mains failures, to power mission-critical electrified processes. Hold-up time requirements and the demand for ultra-high power density and minimum production costs, in particular, drive the need for DC/DC power converters with (i) a wide input voltage range, to reduce the size of the hold-up capacitor, (ii) soft-switching over the full input-voltage and load ranges, to achieve low losses that facilitate a compact realization, and (iii) complete PCB-integration for low-cost manufacturing. Wide-bandgap power semiconductors, with excellent on-resistance properties and low switching and reverse-recovery losses, come along these requirements toward the conceptualization of nextgeneration power-supply modules, but cannot alone catapult state-of-theart converter technology to the performance baseline of future automotive, automated manufacturing and hyperscale data-center applications. Instead, the combination of wide-bandgap devices with proper converter topology, control and magnetics design has proven to be the real enabler of power supplies for the increasingly-electric future. This thesis makes a case for the combination of these three features (widebandgap devices, proper topology/control and advanced magnetics) as the keys for paving the way toward next-generation power-supply modules. Therefore, a suitable low-complexity circuit topology with improved control scheme that operates across a wide-input-voltage range with complete softswitching is identified, which switches efficiently at higher frequencies and high output currents with PCB-integrated magnetics, improving significantly power density compared to state-of-the-art designs. This topology embeds a sophisticated PCB-integrated matrix transformer that has a single path for the magnetic flux, ensuring equal flux linkage of parallel-connected secondary windings despite possible geometric PCB-layout asymmetries or reluctance imbalances. The so-called snake-core transformer avoids the emergence of circulating currents between parallel-connected secondary windings and guarantees proper operation of parallel-connected, magnetically-coupled converter modules. The benefits of the proposed topology, control scheme and transformer design are validated by three fabricated 300 V-430 V-input, 12 V-output DC/DC hardware demonstrators. The converters utilize an LLC-based control scheme for complete soft-switching and the snake-core transformer to divide the output current with a balanced flux among multiple secondary windings. First, a 3 kW DC/DC series-resonant converter achieves 350Win3 (21”4 kWdm3) vii Abstract power density and 94 % peak efficiency, validating control and transformer operation. Then, a second hardware prototype with 1”5 kW showcases a peak efficiency close to 96 % and a power density of 337Win3 (20”6 kWdm3), with full PCB-integration and zero-voltage switching even down to zero load. Finally, the third demonstrator—a magnetically-coupled, input-parallel/outputparallel, two-1”5 kW-module DC/DC converter—achieves a peak efficiency of nearly 97 % and a power density of 345Win3 (21”1 kWdm3) with ideal current sharing among modules and stable operation, important characteristics enabled by the novel snake-core transformer. Detailed loss models are derived for every converter’s component and the measurement results are in excellent agreement with the calculated values. These loss models are used to identify improvements to further boost efficiency, the most important of which is the minimization of delay times in synchronous rectification with either synchronous rectifier ICs embedded into the power-device’s package or, at a minimum, Kelvin-source connections on high-current MOSFETs. The results accomplished in this thesis indicate the necessity of careful topology/control selection and advanced-magnetics design for enabling WBGbased industrial power supplies that will outperform state-of-the-art solutions and catapult them to the next-generation performance standards. None of these features—be it WBG devices, wide-gain-range resonant converters, or advanced PCB-integrated magnetics—will alone enable next-generation power-supply modules, but the thoughtful combination of these technologies and their careful application to the particular application, with emphasis to high-frequency PCB magnetics and soft-switching topologies, which enable compact and cost-effective converters with competitive efficiencies.