宽带Wilkinson 功分器综合公式的缺陷与改进
Imperfection and Improvement of Synthesizing Broadband Wilkinson Power Divider
-
摘要: 首先介绍了3 种宽带Wilkinson 功分器的综合方法,重点阐述了最为常用的Cohn 的设计方法,并指出随着功分器节数的不断增加,在利用Cohn 的设计公式计算隔离电阻阻值时会产生负数的问题。为此,通过引入一个调整参数改进Cohn 的设计公式,实现了节数更多情况下隔离电阻阻值的准确计算。在计算功分器各级传输线特性阻抗的过程中,提出了一种基于MATLAB 程序的多项式化简方法,实现了任意带宽的切比雪夫阻抗变换器参数的快速计算。此外,还给出了一个8 级到15 级的功分器设计参数表格,作为对Cohn 给出的设计表格的扩展。最后,利用改进后的设计公式,设计了一个1 ~15GHz 的宽带Wilkinson 功分器。仿真和测试结果证明了这种方法的有效性。Abstract: Three synthesizing methods of n-section power divider are reviewed. However, with the increase of the sections, the classical synthesizing method will yields wrong results. In consideration of this problem, this paper puts forward the modified design formula by introducing a scaling parameter. Thus, the modified method can well be used in the design of broadband power divider. The characteristic impedances of the transmission lines of a power divider can be obtained by using the classical cascaded quarter-wave impedance transformer theory. A MATLAB program which can be used in computing the transmission lines parameters easily is introduced. A design table which can be used in designing broadband power dividers with sections form 8 to 15 is given. This paper makes comparisons between the synthesized isolation curves and the optimized ones. The results show that the synthesized isolation curves are almost equal to the optimized ones. An 1 ~15 GHz power di vider has been constructed and the measured data validates the modified design formulas are effective.