一种多层平面电感设计的全局优化方法

为多层平面电感设计提出了一种全局优化方法．该方法在给出等效物理模型的基础上，以获得最大品质因数为设计目标，以工作频率、单位面积电感值、电感线圈的电流承受能力为约束条件，将优化问题表示为平面电感器结构参数的正项式函数，即将优化问题便捷地转换为几何规划，使之在不同条件下均可快速获得优化结果．采用全局优化方法设计的电感器芯片的测试数据表明，在给定的约束条件下，单位面积电感值大于80mH／m^2，金属条宽度大于10um，频段范围50～400MHz，优化得到的品质因数与测试结果的最大误差在10％以内．

Global Optimization Method of the Design for Multi-Layer Planar Inductors

A global optimization method is presented to optimize the multi-layer planar inductors. The essential idea of the algorithm is as follows. Based on the proposed physical model, acquiring the maximum quality factor is considered as design objective, and frequency, inductance in unit area and current handling capability are regarded as constraints, hence the designed problem is formulized as the posynomial functions of the physical dimensions of inductors, i.e. the optimum problem can be equivalent to geometric programming so as to quickly obtain optimization result under different conditions. From the measurement results of the inductors designed by the method, the maximum error between the measured quality factor and the optimized results is less than 10% under the restrictions where the inductance in unit area is greater than 80 mH per square meter, metal width is no less than 10 millimeter and frequency band is 50-400 MHz.