EL ECTR IC MACH IN ES AND CON TROL. Study on rotor broken2bar fault in induction m otors based on spectrum analysis of Hilbert modulus

Transcription

1 EL ECTR IC MACH IN ES AND CON TROL Vol113 No13 May 2009 H il bert 1, 1, 2 (1., ; 2., ) :, H ilbert H ilbert, H ilbert,, H ilbert,,,, : ; ; ; H ilbert ; : TM343 : A : X (2009) Study on rotor broken2bar fault in induction m otors based on spectrum analysis of Hilbert modulus MA Hong2zhong 1, YAO Hua2yang 1, L I Hua2m in 2 ( 1. College of Electric Engineering, Hohai University, Nanjing , China; 2. State Power Environmental Protection Research Institute, Nanjing , China. ) Abstract: Rotor broken2bar fault is one of the most ordinary faults in induction motors. B ased on analy2 zing the p rimary diagnosis methods, spectrum analysis of H ilbert modulus ( SAHM ) is p roposed on this paper to study the rotor broken2bar fault. The H ilbert modulus is defined as the sum of the square of a signal and its conjugation. H ilbert modulus is used to covert the fundamental component in original phase current to direct current component, the fault characteristics frequency of bar break is transformed into the tw ice slip frequency. The p roblem is solved that fault characteristic component in the spectrum analysis of the current is easily to be blanketed by fundamental component and is hard to highlight fault characteris2 tics. The p rincip le and method of SAHM is p resented, and then simulation and experiment for break bar motor and eccentric motor. The results of sim ulation and experiment indicate that the SAHM method pos2 sesses a higher diagnosis p recision and a better frequency resolution, which can also overcome the leak2 age impact of the main frequency of the traditional current spectrum method. interm s is easily to be engineering achieved. Furthermore, this method Key words: induction motors; rotor broken2bar fault; fault diagnosis; H ilbert modulus; spectrum analysis : : ( ) : ( ),,,,, ; ( ),,, ; ( ),,,

2 ,, : f 1, ( 1-2s) f 1, 2) :, f 1 2sf 1,,, 2sf 1 3) Park: [ 7, 8 ] Park :,,f 1,,, Park, ;, : (1-2s) f 1 ( 1 + 2s) f 1, Park,, Park, : Park [ 11 ],,,, 4) :,,,,, :, ( 1 -, 2s) f 1 f 1,, ; (1-2s) f 1, (1-2s) f 1 f 1, s, f 1 [ 1, 2 ],(1-2s) f 1,, 5) :, [ 12, 13 ] [ 3, 4 ] :,,, (1-2s) f 1 [ 5, 6 ] (1-2s) f 1 ( 1 + 2s) f 1, (1-2s) f 1, f 1, s, (1-2s) f 1 f 1 6) :,, ( 1-2s) f 1, f 1, [ 11, 12 ] Park, [14 ] [ 5-10 ] 1) :, [ 15 ], 2H ilbert H ilbert,, H il2 bert, H ilbert,

3 3 H ilbert 373, 211 H ilbert H ilbert 1) H ilbert [ 16 ] H ilbert : x ( t) X ( f) ; X ( f) - j, + j,x^( f) ; X^( f) ^x ( t) x ( t), H ilbert ^x ( t) ^x ( t) = 1 + ) - x ( 1 d = x ( t) 3 (1) t - t, jh ( t) = j/ t sgn ( ), H ilbert H ( j ) = - jsgn ( ) = - j, > 0; + j, < 0 (2), H ilbert,, 90, - 90 x ( t), ^x ( t),, 2) H ilbert z ( t) = x ( t) + j^x ( t) (3) H ilbert ( H ilbert ) x ( t) + j^x ( t) 2 H ilbert, x ( t), H ilbert ^x ( t), 90, H ilbert 212 H ilbert,,,, : i a = I m cos( 1 t - 1 ), i b i c = I m co s( 1 t ), = I m cos( 1 t ) H ilbert, a - 90, ^i a H ilbert (4) = I m cos( 1 t ) = I m sin ( 1 t - 1 ), (5) i 2 a + i^2 a = I 2 m (6), H ilbert,, (1 2ks) f 1 ( f 1 m f r ), f r, (1 - s) f 1 / p, p, k = 1 m = 1, k m 1, a [ 17 ] i a = I m cos( 1 t - ) + I br1 cos[ (1-2s) 1 t - br1 ] + I br2 cos[ (1 + 2s) 1 t - br2 ] + I ec1 cos[ ( 1 - r ) t - ec1 ] + I ec2 cos[ ( 1 + r ) t - ec2 ] (7) : I m I br1 I br2 I ec1 I ec2 ; 1 br1 br2 ec1 ec2 ; r i^a i a H ilbert, - 90, = I m cos( 1 t ) + I br1 cos[ (1-2s) 1 t - br1-90 ] + I br2 cos[ (1 + 2s) 1 t - br2-90 ] + I ec1 cos[ ( 1 - r ) t - ec1 I ec2 cos[ ( 1 + r ) t - ec2 H ilbert i 2 a + ^i 2 a = I 2 m + I 2 br1 + I 2 br2 + I 2 ec1 + I 2 ec2 + 2 I m I br1 cos(2s 1 t br1 ) + 2 I m I br2 cos(2s 1 t br2 ) + 2 I m I ec1 cos( r t ec1 ) + 2 I m I ec2 cos( r t ec2 ) ] ] (8) 2 I br2 I br1 cos(4s 1 t + br2 - br1 ) + 2 I ec1 I ec2 cos(2 r t + ec1 - ec2 ) + 2 I br1 I ec2 cos[ ( r + 2s 1 ) t + ec2 2 I br1 I ec1 cos[ ( r - 2s 1 ) t - ec1 2 I br2 I ec2 cos[ ( r - 2s 1 ) t + ec2 2 I br2 I ec1 cos[ ( r + 2s 1 ) t - ec1 - br1 ) ] + + br1 ) ] + - br2 ) ] + + br2 ) ] (9) ( 9), H ilbert 2sf 1 4sf 1 f r 2f r 2sf 1 f r, 2sf 1 f r,4sf 1 2f r f r 2sf 1 Park H ilbert,

4 374 13,,, 3 : 1 khz, 8 s, 10 A, ( 1-2s) f 1 4%, ( 1 + 2s) f 1 3%, ( f 1 5%, ( f 1 - f r ) + f r ) 4%,s 0104,p = 2, f r = (1 - s) f 1 / p,0 1 = br1 = br2 = ec1 = ec2 = 0 1 MATLAB a Y90S - 4, : 380 V 111 kw 50 Hz r/m in 2 HBM DF1024,, DF1024, 25 khz,txt 2 1a F ig. 1 Sta tor curren t of pha se a w ith rotor broken2bar and eccen tr ic ity fault,,, H ilbert 2sf 1 4sf 1 f r 2f r f r 2sf 1,, 2sf 1 f r 2 F ig. 2 Connecting sketch of exper im en ta l equ ipm en ts 412, ( 1 2 ), a,1 410 r/m in 4 6 a, i a i a H ilbert 413 1) 1 2, a 6 Hz, r/m in, 0106, 6 Hz 2sf 1 = 6 Hz,, db, 1 (- 47 db) 2) a ( 1 2s) f 1, H ilbert

5 3 H ilbert 375 4) H ilbert, f r 2f r, 5 1) H ilbert,, (1 2s) f 1 2sf 1,,, H ilbert 2),, 2sf 1, 2sf 1 3) ( 1 2s) f 1, H ilbert 4) Park, ( ),, : [ 1 ]. [M ]. :, [ 2 ]. [M ]. :, (1 2s) f 1 2sf 1, 3),, 2sf 1, 2sf 1, [ 3 ],,. [ J ]., 2008, 12 (2) : SH I Xianjiang, ZHANG Chunxi, SHAO Junpeng. Fault diagnosis of induction motorwith broken bar based on zoom envelope method [ J ]. E lectric M achines and Control, 2008, 12 (2) : [ 4 ],,. [ J ]., 2008, 12 (2) : LUO M ing, L IU Zhenxing, HUANG Fei. D iagnosis simulation of broken rotor bars in squirrel cage induction motor fed with variable frequency power [ J ]. Electric M achines and Control, 2008, 12 (2) : [ 5 ],,,. [ J ]., 2003, 23 (4) : MA Hongzhong, HU Q iansheng, HUANG Yongkai, et al. Simula2 tion and experiment studying on rotor winding fault of induction motor[ J ]. Proceedings of the CSEE, 2003, 23 (4) : [ 6 ],,,. H ilbert Huang[ J ]., 2005, 25 (11) : N IU Faliang, HUANG Jin, YANG Jiaqiang, et al. Rotor broken2 bar fault diagnosis of induction motor based on H ilbert2huang transformation of the startup electromagnetic torque [ J ]. P roceed2 ings of the CSEE, 2005, 25 (11) :

6 [ 7 ],. Park [ J ]., 2004, 24 (5) : J IANG Jiandong, CA I Zexiang. Detection of induction motor rotor cage fault based on Park transformation [ J ]. Electric Power Auto2 m ation Equipm ent, 2004, 24 (5) : [ 8 ],,,. Park [ J ]., 2006, 33 (6) : ZHANG Jianwen, ZHANG Zhenm ing, ZHU N inghui, et al. Park vector2based method to diagnosis broken2bar fault of cage motor supplied by variable2frequency power[ J ]. Journal of N orth China Electric Power University, 2006, 33 (6) : [ 9 ],,,. [ J ]., 2004, 8 (4) : LU Feng, SUN Yang, W EN Chenglin, et al. O scillation2noise de2 tection method of motor fault based wavelet analysis[ J ]. Electric M achines and Control, 2004, 8 (4) : [ 10 ],,,. [ J ]., 2001, 21 (6) : HUANG Qungu, REN Zhen, HUANGW enying, et al. Trapezoid wavelet transform and its application to fault analysis on rotor of squirrel2cage motors [ J ]. Proceedings of the CSEE, 2001, 21 (6) : [ 11 ],,,. [ J ]., 2001, 28 (3) : XU Boqiang, SUN L iling, L IHeming, et al. On2line detecting of rotor bar breaking fault for squirrel cage asynchronous motors [ J ]. Journal of N orth China Electric PowerUniversity, 2001, 28 (3) : [ 12 ],,. [ J ]., 2005, 25 (13) : N IU Faliang, HUANG Jin, YANG Jiaqiang. B roken rotor bars fault diagnosis of induction machines based on wavelet transforma2 tion of electromagnetic torque [ J ]. P roceedings of the CSEE, 2005, 25 (13) : [ 13 ],,. [ J ]., 2006, 32 (10) : ZHANG Jianwen, WANG Chunsheng, ZHANG Q iang. W avelet transform method for diagnosing rotor broken2bar fault of asyn2 chronous motor[ J ]. High Voltage Engineering, 2006, 32 ( 10) : [ 14 ] MASOUD H, HAM ID A T. Pattern recognition2a technique for induction machines rotor broken bar detection [ J ]. IEEE Trans2 actions on Energy Conversion, 2001, 16 (4) : [ 15 ] R ICHARD J P, JOHN F B, NABEEL A O, et al. D iagnostics of bar and end2ring connector breakage faults in poly2phase induc2 tion motors through a novel dual track of time2series data m ining and time2stepp ing coupled FE2state space modeling [ J ]. IEEE Transactions on Energy Conversion, 2002, 17 (1) : [ 16 ]. [M ]. :, [ 17 ],,. H ilbert [ J ]., 2003, 23 (7) : L IU Zhenxing, YIN Xianggen, ZHANG Zhe. On2line monitoring and diagnosis way based on spectrum analysis of H ilbert modulus in induction motors [ J ]. Proceedings of the CSEE, 2003, 23 (7) : ( : ) (370 ) [ 5 ]. [M ]. :, 1980: [ 6 ] KAYS W M. [M ].,. :, 1986: , [ 7 ],. [ J ]., 1998, 13 (1) : MENG Dawei, W EN Jiabin. Heat exchange and rib op timal calcula2 tion for bulb tubular turbine generator with double layer structure [ J ]. Transactions of China Electrotechnical Society, 1998, 13 (1) : ( :)