Variable speed drives (VSDs) are the gold standard for motor control. In industrial motor systems, drive transformers and filters are needed to mitigate EMI, circulating currents, and THD introduced by VSDs, and comprise the majority of system cost, size, and weight. In this thesis, a single-stage three-phase AC-AC isolated converter, called the high-frequency link matrix converter (HFLMC) is proposed for industrial motor drive applications. The converter has lower cost, weight, and size than contemporary VSDs due to its lack of energy storage element. The converter integrates high-frequency isolation to replace the drive transformer, further reducing system-level size, cost, and weight. The HFLMC converter has previously been tested in hardware with RL loads up to 3 kW, with up to 208 V input voltage for durations of several AC line cycles, with measured efficiencies around 91% to 92%. In this thesis, several converter modulation strategies for the HFLMC are compared, demonstrating that SVM has the best current THD and voltage gain. Next, the converter was simulated, designed and tested in hardware up to 11 kW, 480 V with a 96.1% peak efficiency and 1.0% input current THD. A DC blocking capacitor was demonstrated to be a low-cost, low-loss (< 0.5 W) solution to controlling high-frequency transformer magnetizing flux at longer time scales (>40 s) without saturation. Due to the high efficiency, excellent input and output current THD, and stable magnetizing flux performance in an unoptimized hardware build, the HFLMC was determined to be a viable candidate for industrial motor drives.