高频单片DC/DC转换器中双层平面电感的优化

提出了一种全局优化算法，将几何规划的关键技术应用于完全集成DC／DC转换器所需的双层片上电感器设计．在给定的约束条件下，几何规划算法可以全局性地高效解决电感器各竞争目标（如品质因数与所占面积）之间的优化折中问题．针对电感值为10-40nH的方形与圆形双层串联平面电感，在物理模型的基础上用几何规划算法及其形式的解析表达式来进行优化，优化结果表明，在相同的约束条件下，圆形线圈不同电感值对应的最大品质因数要比方形线圈的相应值高出约20％，但是形状的不同并没有显著改善谐振频率．

Optimization and comparison of double-layer planar inductors in high frequency monolithic DC/DC converters

A global optimization algorithm is presented. The key technologies of geometric programming are applied to the on-chip double-layer inductors used in fully integrated DC/DC converters. This algorithm can globally and efficiently solve the tradeoffs between the inductor competing objectives, such as the quality factor and the area. Based on the physical model, the 10-40 nH series square and circlar double-layer planar inductors are globally optimized using geometric programming, and the geometric programming formed analytical expressions are given too. From the optimized results, under the same constrains, the maximum quality factor of the circlar inductors is about 20% higher than that of the square inductors with the same inductance. However, there is not observable difference of resonant frequency between square and circlar induetors.