The design of single-phase differential buck inverters has two important considerations, including reducing second-order ripple power using decoupling capacitors and increasing inverter performances. Using larger decoupling capacitors will improve the performance of ripple power reduction and efficiency while reducing power density. Such trade-off has not been fully modeled and investigated, leading to the sub-optimal design of inverters. To address that, in this paper, the trade-off among decoupling capacitance, inverter efficiency and power density are investigated through detailed mathematical modeling and sensitivity study. The trade-off of the volume and power loss of essential inverter components, including power switches, inductors and heatsinks, are also studied to facilitate the inverter design. A fast multi-objective design optimization method based on geometric programming is presented to optimize the inverter efficiency and power density. A 1 kW prototype of a Gallium Nitride (GaN) based inverter has been designed based on the proposed method. A hardware prototype of the inverter has been built and tested, which has an efficiency of 98.02% and power density 4.54kW/dm3 {4.54\;\mathrm{{kW/dm^{3}}}} and matches 99% to the presented multi-objective design method. This validates the accuracy and effectiveness of the presented design approach considering detailed trade-off analysis.

中文翻译：

---

有源功率解耦单相差分降压逆变器的多目标设计


单相差分降压逆变器的设计有两个重要的考虑因素，包括使用去耦电容器降低二阶纹波功率和提高逆变器性能。使用更大的去耦电容器将提高纹波功率降低和效率的性能，同时降低功率密度。这种权衡尚未得到充分建模和研究，导致逆变器设计不理想。为了解决这个问题，本文通过详细的数学建模和灵敏度研究，研究了去耦电容、逆变器效率和功率密度之间的权衡。还研究了逆变器关键组件（包括功率开关、电感器和散热器）的体积和功率损耗的权衡，以促进逆变器设计。提出了一种基于几何规划的快速多目标设计优化方法来优化逆变器效率和功率密度。基于所提出的方法设计了基于氮化镓 (GaN) 的 1 kW 逆变器原型。搭建并测试了逆变器的硬件样机，其效率为98.02%，功率密度为4.54kW/dm3 {4.54\;\mathrm{{kW/dm^{3}}}}，与系统匹配度为99%。提出了多目标设计方法。考虑到详细的权衡分析，这验证了所提出的设计方法的准确性和有效性。