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针对Duffing振子在信号检测方面存在的局限性,提出了基于扩展型Duffing振子的电力系统基波频率检测新方法。所提的扩展型Duffing振子的临界混沌幅值不会随振子激励频率和采样频率的显著变化而变化。对任意激励频率和采样频率,其临界混沌幅值几乎保持恒定,有效避免了传统Duffing振子只能检测低频信号的局限性。其检测原理是使用特定频率的周期扰动使扩展型Duffing振子产生共振,从而实现基波频率检测。研究结果表明,扩展型Duffing振子具有良好的噪声免疫特性,在一组确定的参数条件下即可实现电力系统基波频率的高精度检测。
Aiming at the limitation of signal detection in Duffing oscillator, a new method of fundamental frequency detection of power system based on extended Duffing oscillator is proposed. The critical chaos amplitude of the extended Duffing oscillator will not change with the significant change of the oscillator excitation frequency and sampling frequency. For any excitation frequency and sampling frequency, the critical chaos amplitude is almost constant, which effectively avoids the limitations of the traditional Duffing oscillator in detecting only low-frequency signals. The detection principle is to use a specific frequency of periodic perturbation extended Duffing oscillator resonance, in order to achieve the fundamental frequency detection. The results show that the extended Duffing oscillator has good noise immunity and can detect the fundamental frequency of power system with a certain set of parameters.