CAJ | 학술논문

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。
침대 Duffing 진자재신호검측방면존재적국한성，제출료기우확전형 Duffing 진자적전력계통기파빈솔검측신방법。소제적확전형 Duffing 진자적림계혼돈폭치불회수진자격려빈솔화채양빈솔적현저변화이변화。대임의격려빈솔화채양빈솔，기림계혼돈폭치궤호보지항정，유효피면료전통 Duffing 진자지능검측저빈신호적국한성。기검측원리시사용특정빈솔적주기우동사확전형Duffing 진자산생공진，종이실현기파빈솔검측。연구결과표명，확전형 Duffing 진자구유량호적조성면역특성，재일조학정적삼수조건하즉가실현전력계통기파빈솔적고정도검측。
In order to solve the problem of Duffing oscillator”s limitations on signal detection,a new detection method for fundamental frequency based on extended Duffing oscillator is proposed.The critical chaotic amplitude of extended Duffing oscillator under discussion will not vary with the significant change of excitation frequency or sampling frequency,but almost remains constant for an arbitrary excitation frequency or sampling frequency.The proposed method is capable of effectively avoiding the limitation that traditional Duffing oscillators can only detect low-frequency signals.Its principle consists in using the periodic perturbation of a specific frequency to implement fundamental frequency detection based on extended Duffing oscillator”s resonance vibration.It is shown by research results that the extended Duffing oscillator has good noise immune property,and is capable of highly-accurate detection of power system fundamental frequency with a set of determined parameters.