Fault Diagnosis of Broken Rotor Bars in Squirrel-Cage Induction Motor of Hoister Based on Duffing Oscillator and Multifractal Dimension

Abstract

This paper is to propose a novel fault diagnosis method for broken rotor bars in squirrel-cage induction motor of hoister, which is based on duffing oscillator and multifractal dimension. Firstly, based on the analysis of the structure and performance of modified duffing oscillator, the end of transitional slope from chaotic area to large-scale cycle area is selected as the optimal critical threshold of duffing oscillator by bifurcation diagrams and Lyapunov exponent. Secondly, the phase transformation duffing oscillator from chaos to intermittent chaos is sensitive to the signals, whose frequency difference is quite weak from the reference signal. The spectrums of the largest Lyapunov exponents and bifurcation diagrams of the duffing oscillator are utilized to analyze the variance in different parameters of frequency. Finally, this paper is to analyze the characteristics of both single fractal (box-counting dimension) and multifractal and make a comparison between them. Multifractal detrended fluctuation analysis is applied to detect extra frequency component of current signal. Experimental results reveal that the method is effective for early detection of broken rotor bars in squirrel-cage induction motor of hoister.

Sounds and acoustic emission-based early fault diagnosis of induction motor: A review study

“…36,37 In modern industrial applications, 38,39 rotating machinery (RM) 40–42 becomes the most important equipment. RM has been widely used in many vital industrial areas, 43,44 which include blowers, expanders, engines, pumps, turbines, motors, and generators. 45–47…”

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

“…[3] Chaotic systems are different from the traditional methods in that they are immune to noise and sensitive to a specific signal, which means that they are particularly suitable for weak signal detection under noisy conditions. [4][5][6][7] The Duffing oscillator is one of the classic nonlinear systems that have been extensively studied for weak signal detection. [8][9][10][11] In addition, many researchers have investigated the combination of Duffing oscillators and other detection methods for weak signal detection with positive results.…”

Analytical and Numerical Investigation on the Duffing Oscilator Subjected to a Polyharmonic Force Excitation

“…The Duffing oscillator is comprehensively investigated for many cases like: free vibrations [17,18]; a single harmonic force excitation [17,18,19,20]; a force excitation that contains two harmonics with equal [21] or similar [22] frequencies; an excitation that contains a harmonic force and a noise [23]; and a piece-wise force excitation. In [23], the application of weak signal detection based on chaotic oscillator is studied.…”