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The goal of this work was to design and implement a control scheme for a 3-phase qZSI in order to enable it to operate in a grid-forming role. The qZSI was analyzed in great detail and compared to a conventional boost converter that is commonly used in grid connected inverters. Literature was presented to demonstrate the need for current programed mode control for the dc side of the qZSI, and the control scheme was compared to a common control scheme used for boost converters. Then, recent literature was used to support why the universal droop control scheme was chosen for the ac-side control for this work. After contextualizing the design of the overall qZSI control scheme, the final control scheme was presented. An analytical approach was taken for design of the components and gain parameters. The goal was to design a qZSI system with similar properties to a conventional boost-cascaded VSI system. Thus, the performance of the qZSI system in a grid-forming role could be benchmarked against a conventional device, demonstrating whether the qZSI could operate as a fundamental grid-forming device.

Through PLECS simulations, the qZSI system presented in this work not only demonstrated its ability to operate in a grid-forming role, but also that it may potentially have superior performance to conventional VSI systems operating in the same role. While a much more optimized design approach is needed for both the qZSI and VSI to truly compare the two systems, this work demonstrated that the qZSI is more than capable of operating in a grid-forming role. It handled large step changes in load and input voltage with quick rise times and good damping, and

inverter systems, with the goal of analytically explaining the dynamic performance differences between the two systems.

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