采用数理统计方法分析了任意分布的随机相位误差对多台不等功率辐射源组成的天线阵空间功率合成效率的影响，得到了由多台不等幅馈电的阵元组成的天线阵空间功率合成效率期望值的解析表达式。通过该解析式可利用快速傅里叶变换(FFT)快速分析任意数目阵元组成的天线阵在目标点的期望合成效率，为空间功率合成系统的总体合成效率预估并合理分解各分系统随机相位抖动指标提供了一种高效的解析分析方法。作为算例，用得到的解析公式分析相位误差分布呈均匀分布、正态分布和三角形分布三种典型情况对合成效率的影响。

With the mathematical statistics method, the impact of random phase error with arbitrary probability distribution on power combining efficiency of antenna array was analyzed. The analytic relationship between random phase error and expectation of combining efficiency of N-element antenna array was provided, which makes it easy to evaluate the impact of random phase error on array combining efficiency with fast-Fourier-transform (FFT) technology. As examples, the impact of random phase error with three typical distributions, uniform, Gaussian, and triangular distributions was discussed with the proposed analytical method.