Study on partial discharge signals detection by extended Duffing oscillator

Abstract

At present, commonly used methods of weak signal detection such as the wavelet threshold denoising method, digital filtering method, the Fourier frequency domain transformation etc. can achieve the lowest detection of signal-to-noise ratio (SNR) of -10 dB, and the bidirectional ring coupled Duffing oscillator can reach the lowest detected SNR of -20 dB. But the discharge pulse signal with a lower SNR often appears in on-site testing, so the existing detection methods are difficult to meet the practical requirements of weak signal detection. In order to effectively solve the problem, a new method for weak pulse signal detection is proposed based on an extended-Duffing oscillator. The main idea of this method is to make the Duffing oscillator model transform to an extended-Duffing oscillator model by using the general time scale transformation. This approach can effectively expand the frequency detection range for weak signal detection. In addition, because the critical amplitude of the Duffing system depends on various parameters, such as system parameters, initial values, driving signal frequency, and calculation step of Runge - Kutta method etc.. However, the Melnikov method is an approximate analytical method, which does not take into account the factors such as initial values and calculation step, therefore, the Melnikov method is not suitable for numerical simulations, and lack of practicality. For this, the critical amplitude of chaos with high accuracy is determined only through the simulation experiment. Experimental results show that the critical amplitude is equal to 0.825010 when the incentive angular frequency of the extended-Duffing oscillator equals 10000 rad/s, and the extended-Duffing oscillator changes from the critical chaotic state to the large scale cycle state for small changes (10-6) of the driving amplitude. The simulation results show that the extended-Duffing oscillator not only has a good noise immunity performance, but also can effectively detect weak partial discharge pulse signal so that the signal-to-noise ratio can be lower than -40 dB. This method further expands the detection range and application fields of weak signals.

Weak Fault Diagnosis Method of Rolling Bearings Based on Variational Mode Decomposition and a Double-Coupled Duffing Oscillator

“…When the Duffing system is used to detect the signal to be measured, sometimes the frequency of the signal to be measured is equal to the frequency of the built-in driving force of the system, but the state of the system does not change. This is due to the phase difference between the signal to be measured and the built-in driving force of the system [27]. If the phase difference between the signal to be measured and the built-in driving force of the system is 𝜑, the total excitation of the system is 𝐹 = 𝐴 cos(𝜔𝑡) + 𝐴cos(𝜔𝑡 + 𝜑) = 𝐴 + 2𝐴 𝐴cos𝜑 + 𝐴 cos 𝜔𝑡 + 𝜃(𝑡)…”

Weak wide-band signal detection method based on small-scale periodic state of Duffing oscillator

“…An extended Duffing oscillator model was used to effectively detect weak high-frequency partial discharge signals. [19] A weak signal detection approach based on the generalized parameter-adjusted SR (GPASR) model is proposed. [20] By combining the advantages of FPGA and the Duffing oscillator, a novel state detector, phase trajectory auto-correlation, is introduced for state detection of Duffing oscillators.…”

“…[21] The Duffing oscillator systems in Refs. [19]- [21] eliminated the limitation of small frequency parameters. It should be noted that all the Duffing oscillator detection methods previously mentioned are based on a strong reference signal, i.e., they depend on the phase transition from chaotic to large-scale periodic motion.…”

Demodulation of acoustic telemetry binary phase shift keying signal based on high-order Duffing system

“…Therefore, it can be widely used in signal detection. [13][14][15][16][17][18][19][20] In Ref. [13], a quantitative detection method for weak sinusoidal signals based on the sensitivity of chaotic parameters in a particular state was proposed.…”

“…In Ref. [17] a new method of detecting weak pulse signals based on an extended-Duffing oscillator was proposed. The approach could effectively expand the frequency detection range for weak signal detection.…”