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During signal sampling process of steam turbine digital electric hydraulic control system (DEH) tests, situations that the instrument can not meet the requirements of Nyquist sampling due to the frequency of the primary components is over high may occur. To solve this problem, the envelope of the signal is calculated through Hilbert transform, and the valve closing time is calculated according to the envelope signal. However, the calculation accuracy is limited due to the time interval of the peak points. To improve the calculation accuracy, the undersampled signal is reconstructed, the primary frequency is analyzed by using fast Fourie transform (FFT), and the primary frequency of the signal is determined based on the nature of the frequency domain. On this basis, the initial phase of the AC signals is calculated using the initial value, and the undersampled signals is reconstructed according to the frequency and initial phase. The closing time is calculated according to the difference between the reconstructed and sampled signals based on Akaike information criterion (AIC). In comparison with the Hilbert transform method, the reconstruction method can improve the calculation accuracy. The reconstruction and analysis method can be used in all kinds of undersampled periodic signals, which can make up the shortcomings of hardware in DEH tests.
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在汽轮机数字电液控制(DEH)系统试验的信号采集过程中,可能会碰到信号主要成分的频率过高,仪器无法满足奈奎斯特采样定律的情况。针对这一问题,通过希尔伯特变换构造解析信号的方法得到了信号的包络图,并根据包络信号对阀门的关闭时间进行了计算。考虑到基于信号包络线的计算方法计算精度受峰值点的时间间隔影响,为了提高计算精度,对欠采样信号进行了重构,通过快速傅里叶变换(FFT)对信号的主频率进行了分析,根据频域周期性延拓的性质确定了信号的主频率。在此基础上,根据信号初始值计算出了信号的初始相位,结合信号频率与初始相位对欠采样信号进行了重构。根据重构信号与实际信号差值,应用赤池信息(AIC)准则获取极值点的方法对阀门关闭时间进行了计算。比较2种方法的结果可知,通过信号重构的方法计算精度明显优于希尔波特变换求包络法,该研究结果可用于各类单频率成分的欠采样信号的重构,可以弥补DEH试验中硬件无法满足采样定理的不足。
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