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  1. Schematic-level optimization and steady-state loss modeling play a vital role in the design of advanced power converters. Recently, discrete time state-space modeling has shown merits in rapid analysis and generality to arbitrary circuit topologies but has not yet been utilized under rapid optimization techniques. In this work, we investigate methods for the incorporation of rapid gradient-based optimization techniques leveraging discrete time state-space modeling and showcase the utility of the approach for use in the converter design process. 
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  2. null (Ed.)
    Steady-state modeling plays an important role in the design of advanced power converters. Typically, steady-state modeling is completed by time-stepping simulators, which may be slow to converge to steady-state, or by dedicated analysis, which is time-consuming to develop across multiple topologies. Discrete time state-space modeling is a uniform approach to rapidly simulate arbitrary power converter designs. However, the approach requires modification to capture state-dependent switching, such as diode switching or current programmed modulation. This work provides a framework to identify and correct state-dependent switching within discrete time state-space modeling and shows the utility of the proposed method within the power converter design process. 
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  3. null (Ed.)
    In wireless power transfer systems, active rectifiers demonstrate improved efficiency and regulation capability. To enable impedance or output regulation, ensure stable operation, and maximize the efficiency, switching actions of the rectifier have to be synchronized with the magnetic field generated from the transmitter coil. This work presents an implementation of a phase- locked-loop synchronization controller using commercial components, including a low-cost microcontroller. A discrete-time small-signal model is used to derive the transfer function of the inherent feedback and design a compensator stabilizing the synchronization loop. Large-signal state-space modeling is used to design a high-efficiency, soft-switching, 6.78MHz power stage. A low-profile, 40W, GaN-based rectifier prototype is designed and built to experimentally verify the ability to synchronize and achieve high efficiency due to soft-switching. 
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  4. Modeling plays a vital role in the design of advanced power converters. Commonly, modeling is completed using either dedicated hand analysis, which must be completed individually for each topology, or time-stepping circuit simulations, which are insufficiently rapid for broad analysis considering a wide range of potential designs or operating points. Discrete time state-space modeling of switching converters has shown merits in rapid analysis and generality to arbitrary circuit topologies but is hampered by difficulty incorporating nonlinear elements. In this work, we investigate methods for the incorporation of nonlinear elements into a generalized discrete time state-space modeling framework and showcase the utility of the approach for use in the converter design process. 
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