利用尺度因子对加高斯窗的正交三角基进行解耦调制可以构造具有灵活滤波控制特性的复原子函数。该复滤波函数的时频域带宽不受带通中心频率约束,且能根据分析要求通过尺度因子调整。为此,根据高斯窗半径计算公式设置具有紧凑频域带宽和较短观测时窗长度的复原子参数,在次同步频率范围内逐步调整中心频率实现对各振荡模态的检测,每次有效滤波输出对应于各振荡模态的特征复相量,并从中提取振荡频率、幅值和阻尼。仿真研究表明,该方法能从实测数据中准确检测工频量以及同时存在的各次同步电气谐振模态和扭振模态频率、幅值和阻尼,具有较高的模式分辨率和较短的计算数据窗,能较好地抑制噪声和高频分量干扰,且实时性好,便于在线分析。
The complex atom function (CAF) that owns flexible filter control feature is constructed by utilizing scalar to modulate the orthogonal triangular basis with the Gauss window. The time and frequency domain band width of CAF can be adjusted according to the requirements, meanwhile independent of the certral frequency. Firstly, com- pact frequency band width and short observation time window are set in terms of the Gauss window radius formula. Then, the subsynchronous oscillation (SSO) modes are detected by CAF filtering. Subsequently, the amplitude, frequency and damping are extracted from the complex phasor which is the output of the previous filtering. It is demonstrated by the final simulation that the proposed method which keeps good timeliness can make the accurate measurement of the fundamental phasor, SSO and SSR parameters with high mode solution and short calculation window, simultaneously overcome the effect of noise and other components.