非线性优化的航空电源交流畸变系数算法研究

Research on the Algorithm of Aviation Power AC Distortion Factor Based on Non-Linear Optimization

中文关键词:  交流畸变系数  基波分量  非线性优化  多维单纯形下降法

英文关键词:AC distortion factor  fundamental component  non-linear optimization  Nelder-Mead method

中文摘要:

      研究航空电源交流畸变系数检测问题，其核心在于从采样数据中准确获得交流基波分量。提出一种新算法，将交流基波分量计算问题转换为非线性连续优化问题，通过多维单纯形下降法同步优化幅值、频率和相位，最小化基波分量与采样信号的误差，从而获得接近真实的交流基波分量，并据此准确计算交流畸变系数。该方法已被应用于某大功率航空电源检测系统中，试验测试表明其具有良好的检测效果。

英文摘要:

      An AC distortion factor detecting problem is studied,the core of which is to obtain the AC fundamental component accurately from voltage samples.A novel algorithm is introduced,which transforms the extraction into a non-linear continuous optimization problem,and solves the problem by using Nelder-Mead method to optimize frequency,phase,and amplitude of the AC fundamental component simultaneously so that the RMS between the component and voltage samples is minimized,which obtains AC fundamental component with high accuracy,and the AC distortion factor can be calculated accurately thereafter.The algorithm has been applied to a newly developed high-power electric power testing system and shown good detecting performance.