基于多项式混沌方法的场线耦合响应不确定度量化

在传输线场线耦合的计算中，由于辐射场可能从不同方向入射，入射方位角和入射仰角会在一定范围内变化，可以将其看作不确定变量，因此传输线的响应也呈现出不确定性。针对输入参数服从非典型分布的情况，应用多项式混沌方法对传输线场线耦合频域响应进行不确定度量化。结合入射方位角和仰角的物理意义，给出其服从的分布类型并构建相应的正交多项式基底，并对该模型的传输线方程进行多项式混沌展开。最后结合含两个不确定参数的传输线场线耦合算例，给出远端电流响应的统计信息，对比蒙特卡罗方法，验证了该方法的正确性和高效性。

Uncertainty quantification analysis of random field coupling to transmission lines based on polynomial chaos expansion method

Normally, transmission lines uncertainty quantification analysis based on Monte Carlo (MC) method need very large number of samples. This paper chooses the polynomial chaos expansion (PCE) method to analyse the uncertainty quantification of random field coupling to transmission lines. In the case where input uncertain parameters are of non typical distributions, the corresponding orthogonal polynomial basis is constructed and the telegraph equation by PCE method is expanded. Finally, the statistical information of far end current is computed in the case of random field with two uncertain parameters coupling to transmission lines. It is proved that the PCE method is valid and more efficient compared with MC method.