Study on application of spectral analysis of instantaneous power to fault diagnosis of traction motor rotor
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1 ELECTRI C MACHINES AND CONTROL Vol. 16 No. 10 Oct ± s f 1 sf 1 TP 06. A 7-449X Study on application of spectral analysis of instantaneous power to fault diagnosis of traction motor rotor YANG Tong-guang JIANG Xin-hua FU Qiang College of Information Science and Engineering Central South University Changsha 48 China Abstract A method for the rotor fault diagnosis was proposed based on the instantaneous power of the network side to resolve the problem which fault characteristic frequency drowned easily by base wave frequency. When traction induction motor broken bar fault occur in the variable frequency drive system the fault characteristic frequency components 1 ± s f 1 propagated through converter to inverter side network side. It was found that the network side current signal and the stator current signal had the same problem which fault characteristic frequency drowned easily by base wave frequency. The instantaneous power of the network side spectrum was selected and analyzed the rotor broken bar fault characteristic frequency convert sf 1 spectral component was made the base wave frequency effect was eliminated the characteristic frequency was highlighted and the hardware structure for requiring only one phase current was simplified. Experimental results showed that the method can effectively diagnose the rotor fault. Key words AC variable frequency speed-regulation broken bar of rotor instantaneous power fault diagnosis spectral analysis AA11Z17 010FJ058 11C
2 % 1 1 ± s f 0 1 i' a = I m cos w 0 t - φ + I bp cos 1 + s w 0 t φ bp + I bn cos 1 - s w 0 t - φ bn 1 motor current signal analysis MCSA i' b = I m cos( w 0 t - φ - π ) + I bp cos 1 + s w 0 t - φ bp - π + 1 ± s f 1 I bn cos 1 - s w 0 t - φ bn - π s i' c = I m cos( w 0 t - φ + π ) + I 5 Park bp cos 1 + s w 0 t - φ bp + π + I bn cos 1 - s w 0 t - φ bn + π Park Park s I m I bp I bn φ φ bp φ bn 1 + s f s f 0 sf 1 4sf Hilbert 8 Hilbert SPWM 9 11 s 1 s s s A s B s C i' d = s A i' a + s B i' b + s C i' c 4 i' a i' b i' c 1 A B C i d i d 14 + e b i b U d e c i c PWM Fig. 1 PWM VSI-fed adjustable speed drive SPWM f 16 0 f c PWM s A = 1 + M cos w 0t + m = 1 n = 1 mπ J n ( m π M ) sin sf 1 [ m + n π ] cos mw ct + nw 0 t 5 s B = 1 + M cos ( w 0t - π ) + m =1 n =1 mπ J n ( m π M ) e a i a i cd i a i b i c M
3 10 97 s C sin[ m + n π ] = 1 + M cos w 0t + π + [ ( ) ] cos mw ct + n w 0 t - π 6 ( ) m =1 n =1 mπ J n ( m π ) [ ] [ ( ) ] M 1 ~ 5 ~ 7 p t = 9M 4 U mi m cosφ cosθ 1 + cos w 1 t - θ i' d = 4 MI mcosφ + 4 M I bpcos sw 0 t + φ bp + mπ J n m π m + n π cos mw ct + nw 0 ) I bn cos ( sw 0 t - φ bn + sin ( ) m =1 n = - ( ) M t i' a + cos mw c t + n w 0 t - π i' b + cos mw c t + n( w 0 t + π ) i' c 8 f 1 sf 1 f 1 ± sf 0 sf 1 8 i d = 4 MI mcosφ + 4 M I bpcos sw 0 t + φ bp + I bn cos sw 0 t - φ bn 9 s 1 = 槡 π cos w 1t - θ 1 + 槡 π n = 1 1 6n ± 1 cos 6n ± 1 w 1t - θ 6n±1 10 w 1 SPWM i a = s 1 i d f 0 45 Hz i a = 槡 4π M I mcosφcos w 1 t - θ 1 + I bp cos w 1 ± sw 0 t - θ 1 ± φ bp + I bn cos w 1 ± sw 0 t - θ 1 φ bn 1 1 f 1 ± sf 0 s 0. 0 ~ sin m + n π cos mw ct + n w 0 t + π p t = 槡 u ab i a 1 u ab 7 J n n Bessel M w 0 w u ab = U m cosw 1 t 14 c U m w 1 f M 4 U mi bp cos w 1 ± sw 0 t - θ 1 ± φ bp + cos sw 0 t - θ 1 ± φ bp + 9M 4 U mi bn cos w 1 ± sw 0 t - θ 1 ± φ bn + cos sw 0 t - θ 1 ± φ bn 15 f 1 sf 1 f 1 ± sf 0 1. TI DSP TMS0F81 16 ADC 10 khz VC Matlab 1 f 1 ± sf 0 f f 1 ±
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