面向风力发电机组齿轮箱滚动轴承故障诊断的理论与方法研究
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摘要
在目前国内外能源短缺和环境污染问题日益严重的情况下,大力开发和利用风能是解决上述问题的有效途径和必然趋势之一。在风电产业快速发展的同时,风力发电机组的安全、稳定运行逐渐引起国内外的高度重视。在双馈型和半直驱型风力发电机组中,由齿轮箱轴承故障引起的停机时间最长,对其故障进行研究具有重要的理论指导价值和工程应用意义。因此,本文以风力发电机组齿轮箱滚动轴承为研究对象,采用先进技术方法对其进行故障类型、故障部位和故障程度的诊断,为提高风力发电机组的利用率,降低风场的运行维护费用提供重要理论支撑和技术保证。
     本文的主要研究内容如下:
     1.提出了一种基于数学形态滤波的小波特征频带滚动轴承早期故障诊断方法。首先利用小波-数学形态联合降噪算法对信号进行预处理;再建立滚动轴承故障振动信号模型,以减小诊断的盲目性,提高诊断精确度;最后根据理论推导分析出的结论:当滚动轴承发生故障时,其振动信号相应故障特征频带能量显著增大,来判定小波分解结果中包含故障信息的特征频带,将包含在其中的周期性冲击特征和故障调制信息分离出来,从而判定故障类型和故障部位。
     2.提出了一种基于峭度的EMD (Empirical Mode Decomposition)方法迭代截止规则。该规则利用峭度对冲击成分敏感,进而可反映幅值分布形状变化,弥补了现有规则依赖于某一经验值的缺陷;同时该规则考虑了IMF (Instrinsic Mode Function)分量的定义、分解过程的正交性和完备性,使分解得到的IMF分量更接近理想值,具有更小的正交性指标。
     3.在上述第2点迭代截止规则优化后的EMD方法基础上,提出了一种新型滚动轴承故障部位及程度在线诊断方法。该方法首先提取可准确表征故障信息的特征量,再计算待测样本和预先设定的各故障模式标准样本之间的J-散度(J-divergence)和KL-散度(Kullback-Leibler divergence)值;利用散度值可表征故障点所在位置,以及散度值的变化可跟踪故障程度变化的特性,来判断故障部位及程度。
     4.在上述第2点迭代截止规则优化后的EMD方法基础上,提出了一种新型滚动轴承故障部位及程度自适应聚类方法。该方法首先通过优化EMD方法提取故障特征量,然后针对原始K-均值聚类算法的两个缺陷,即聚类数目和聚类中心不易确定,及易受孤立点的影响,应用主成分分析和霍特林T2统计量进行解决,提出了自适应K-均值聚类算法,从而使该故障诊断方法可自适应的将样本集按故障部位和故障程度进行分类。
     5.针对目前风力发电机组缺乏一个面向整机重要部件关键参数的综合性监测系统,且现有在线监测系统的分析和诊断功能较薄弱的现状,本文设计并实现了一种风力发电机组在线故障预警和诊断一体化系统,分别从系统结构、系统功能和一体化系统特点三个方面,对整个系统的硬件和软件实现进行了阐述;分析了故障预警系统的工作原理和故障诊断方法的步骤,并重点对故障诊断系统自学习能力的具体功能和实现方法进行了说明。
With the energy shortage and environment pollution becoming more and more serious, one of effective ways to solve the problemes is to develop wind energy. While maintaining the high-speed development of wind power industry, it is worthwhile to pay more attention to the safety operation of wind turbine. The bearings in gearbox have the longest downtime compared to the other components. So the research on its failure has important theoretical value and engineering significance. The object of study in this paper is rolling element bearings of wind turbine gearbox. The fault diagnosis of bearings is important, which can reduce the cost of wind plant and promote the operation efficiency of wind turbines.
     The major contributions of this thesis are summarized as follows:
     1. A new approach based on mathematical morphological filter and wavelet is presented, which is to identify bearing faults via vibration while the faults is still in an incipient stage. First, this approach considers the removal of random pulse and white noise, and then a model-based vibration is established for decreasing the blindness and increasing the accuracy of fault diagnosis. Based on the above model, we can deduce that there is a significant increase in the energy of fault characteristic band, when single-point defects occur on a bearing surface. Consequently, the characteristic fault frequencies which are separated from fault characteristic band are utilized to obtain the style and location of defect.
     2. In order to solve the disadvantage of the dependence of empirical value of existing IMF stop criterion, a new stop criterion based on kurtosis is proposed. Given the sensitivity of kurtosis to pulses, it can reveal the distribution of amplitude. At the same time, this criterion has considered the definition of IMF, the index of orthogonality and completeness so that the IMF component has less error and better orthogonality.
     3. A new technique based on the optimized EMD and divergence is proposed. It can diagnose the location and degree of defects. The fault signatures of bearings are extracted firstly. Then the J-divergences and KL-divergence between test sample and standard sample are computed. Finally, the divergence and its variation can determine the location and the severity degree of fault, respectively.
     4. A new approach based on the optimized EMD and adaptive K-means clustering is proposed. It can diagnose the location and degree of defects. The fault signatures of bearings are extracted firstly by optimized EMD. The Principal Component Analysis and Holtelling T2-statistic are applied to improve the weaknesses of K-means clustering, that are, the determination of cluster number and cluster center is difficult and there exists the influence of isolated points. So the adaptive K-means clustering is proposed. This approach can adaptively identify the data sets, depending on the location and the severity level of fault.
     5. Now the available system which can monitor the key operating parameters of all the important parts of wind turbine is few, and fault diagnosis in the existing system is weak. An integrated system is designed, which can combine the on-line fault warning and fault diagnosis. The hardware and software implementations of system are illustrated, including system structure, system function and integrated system characters. The principle of fault warning system and the steps of fault diagnosis are descriped, emphasizing on the function and implementation of self-learning.
引文
[1]叶杭冶.风力发电系统的设计、运行于维护[M].北京:北京工业出版社,2010.
    [2]World Wind Energy Association. World market recovers and sets a new record:42GW of new capacity in 2011, total at 239GW. [EB/OL]. [2012-02-07].http://www.wwindea.org/home/index.php?option=com_conte nt&task=view&id=345 & Itemid=43.
    [3]中国可再生能源学会风能专业委员会.2011中国风电装机容量统计.[EB/OL]. [2012-03-23]. http://www.cwea.org.cn/upload/2011年风电装机容量统计.pdf
    [4]姚兴佳.风力发电测试技术[M].北京:电子工业出版社,2011.
    [5]廖明夫,Gasch R., Twele J..风力发电技术[M].西安:西北工业大学出版社,2009.
    [6]祁和生.我国风电机组总装企业概况.中国风能[J],2007,3:3-10.
    [7]凤凰网科技.”半直驱”时代到来?维斯塔斯尝试新技术.[EB/OL], [2011-07-12].http://tech.ifeng.com/gundong/detail_2011_07/12/7632947_0. shtml.
    [8]Ribrant J., Bertling L.M.. Survey of failures in wind power systems with focus on Swedish wind power plants during 1997-2005 [J]. IEEE Transaction on Energy Conversion,2007,22(1):167-173.
    [9]Lu B., Li Y.Y., Wu X. et al. A review of recent advances in wind turbine condition monitoring and fault diagnosis [C]. Proceedings of IEEE international conference on Power Electronics and Machines in Wind Applications, Lincoln, Nebraska, June 24-26,2009.
    [10]Ribrant J., Bertling L.. Reliability performance and maintenance-a survey of failures in wind power systems [C]. IEEE Power Engineering Society General Meeting,2007,1-8.
    [11]Li R.Y., He D.. Rotational machine health monitoring and fault detection using EMD-based acoustic emission feature quantification [J]. IEEE Transactions on Instrumentation and Measurement,2012,61(4):990-1001.
    [12]Samanta B., Al-Balushi K.R.. Artificial neural network based fault diagnosis of rolling element bearings using time-domain features [J]. Mechanical Systems and Signal Processing.2003,17(2):317-328.
    [13]Li B., Chow M.Y., Tipsuwan Y. et al. Neural-network based motor rolling bearing fault diagnosis [J]. IEEE Transactions on Industrial Electronics, 2000,47(5):1060-1069.
    [14]Yuan L.F., He Y.G., Huang J.Y. et al. A new neural-network based fault diagnosis approach for analog circuits by using kurtosis and entropy as a preprocessor [J], IEEE Transactions on Instrumentation and Measurement, 2010.59(3):586-595.
    [15]Wu J.D., Chen J.C.. Continuous wavelet transform technique for fault signal diagnosis of internal combustion engines [J]. NDT&E International Independent Nondestructive Testing and Evaluation.2006,39(4):304-311.
    [16]Dyer, D. Stewart R.M.. Detection of rolling element bearing damage by statistical vibration analysis [J]. Transactions of the ASME Journal of Mechanical and Design,1978,100(2):229-235.
    [17]Sugumaran V., Muralidharan V., Ramachandran K.L.. Feature selection using decision tree and classification through proximal support vector machine for fault diagnostics of roller bearing [J]. Mechanical Systems and Signal Processing,2007,21(2):930-942.
    [18]Sheen Y.T.. A complex filter for vibration signal demodulation in bearing defect diagnosis [J]. Journal of Sound and vibration,2004,276(1-2): 105-119.
    [19]Li Z., He Z.J., Zi Y.Y. et al. Bearing condition monitoring based on shock pulse method and improved redundant lifting scheme [J], Mathematics and Computers in Simulation,2008,79(3):318-338.
    [20]Su Y.T., Lin S.J.. On initial fault detection of a tapered roller bearing: Frequency domain analysis [J]. Journal of Sound and Vibration,1992, 155(1):75-84.
    [21]Yiakopoulos C.T., Antoniadis I.A.. Wavelet based demodulation of vibration signals generated by defects in rolling element bearings [J], Shock and Vibration,2002,9(6):293-306.
    [22]丁康,李巍华,朱小勇.齿轮及齿轮箱故障诊断实用技术[M].北京:机械工业出版社,2005.
    [23]Makarand S.B., Zafar J.K., Hiralal M. et al. Adaptive neural fuzzy inference system for the detection of inter-turn insulation and bearing wear faults in induction motor [J]. IEEE Transactions on Industrial Electronics,2007, 54(1):250-258.
    [24]Larsson E.G., Stoica P., Jian Li.. Amplitude spectrum estimation for two-dimensional gapped data [J]. IEEE Transactions on Signal Processing, 2002,50(6):1343-1353.
    [25]Zhao Z., Wang F.L., Jia M.X. et al. Intermittent chaos and cepstrum analysis based early fault detection on shuttle valve of hydraulic tube tester [J]. IEEE Transactions on Industrial Electronics,2009,56(7):2764-2770.
    [26]Petropulu A.P., Nikias C.L.. The complex cepstrum and bicepstrum: analytic performance evaluation in the presence of Gaussian noise [J]. IEEE Transactions on Acoustics. Speech and Signal Processing,1990,38(7): 1246-1257.
    [27]段礼祥,张来斌,王朝晖等.往复式泵阀故障的细化谱诊断法[J].仪器仪表学报,2004,25(4):568-570.
    [28]樊新海,邱绵浩,王自营等.坦克变速箱工作档位齿轮箱故障诊断研究[J].兵工学报,2007,28(2):134-137.
    [29]Alberto B., Amine Y., Fiorenzo F. et al. High frequency resolution techniques for rotor fault detection of induction machines [J]. IEEE Transactions on Industrial Electronics,2008,55(12):4200-4209.
    [30]Randall R.B.. A new method of modeling gear faults [J]. Transactions of the ASME Journal of Mechanical Design,1982,104(2):259-267.
    [31]Mcfadden P.D.. Detecting fatigue cracks in gears by amplitude and phase demodulation of the meshing vibration [J]. Transactions of the ASME Journal of Vibration, Acoustics, Stress, and Reliability in Design.1986,108: 165-170.
    [32]Khademul Islam Molla M.., Keikichi H.. Single-mixture audio source separation by subspace decomposition of Hilbert spectrum [J]. IEEE Transactions on Audio. Speech, and Language Processing,2007,15(3): 893-900.
    [33]Shukla S., Mishra S., Singh B. Empirical mode decomposition with Hilbert transform for power-quality assessment [J]. IEEE Transactions on Power Delivery,2009,24(4):2159-2165.
    [34]Puche-Panadero R., Pineda-Sanchez M., Riera-Guasp M. et al. Improved resolution of the MCSA method via Hilbert transform, enabling the diagnosis of rotor asymmetries at very low slip [J]. IEEE Transactions on Energy Conversion,2009,24(1):52-59.
    [35]丁康,江利旗.解调分析在机械振动分析中应用的局限性研究[J].机械科学与技术,2000,19(5):722-725.
    [36]张帆,丁康.广义检波解调分析的三种算法及其局限性研究[J].振动工程学报,2002,15(2):243-248.
    [37]丁康,朱小勇.齿轮箱典型故障振动特征与诊断策略[J].振动与冲击,2001,20(3):7-12.
    [38]丁康,孔正国.振动调频信号的循环平稳解调原理与实现方法[J].振动与冲击,2006,25(1):5-9.
    [39]黄知涛.循环平稳信号处理机器应用研究[M].长沙:国防科学技术大 学出版社,2007.
    [40]Capdessus C., Sidahmed M., Lacoum J.L.E.. Cyclostationary processed: application in gear faults early diagnosis [J]. Mechanical Systems and Signal Processing,2000,14(3):371-385.
    [41]Antonladis I., Glossiotis G.. Cyclostationary analysis of rolling-element bearing [J]. Vibration Signals. Journal of Sound and Vibration,2001, 248(5):829-845.
    [42]李力,屈梁生.循环统计量方法在滚动轴承故障诊断中的应用[J].振动、测试与诊断,2003,23(2):116-120.
    [43]Wright P.S.. Short-time Fourier transforms and Wigner-Ville distributions applied to the calibration of power frequency harmonic analyzers [J]. IEEE Transactions on Instrumentation and Measurement,1999,48(2):475-478.
    [44]Rajagopalan S., Aller J.M., Restrepo J.A. et al. Detection of rotor faults in brushless DC motors operating under nonstationary conditions [J]. IEEE Transactions on Industry Application,2006,42(6):1464-1477.
    [45]Rosero J.A., Romeral L., Ortega J.A. et al. Short-circuit detection by means of empirical mode decomposition and Wigner-Ville distribution for PSM running under dynamic condition [J]. IEEE Transactions on Industrial Electronics,2009,56(11):4534-4547.
    [46]Martin W., Flandrin P.. Wigner-Ville spectrum analysis of nonstationary processes [J]. IEEE Transactions on Acoustics, Speech and Signal Processing,1985,33(6):1461-1470.
    [47]张雄希,刘振兴.共振解调与小波降噪在电机故障诊断中的应用[J].电机与控制学报,2010, 14(6):66-70.
    [48]张家凡,易启伟,李季.复解析小波变换与振动信号包络解调分析[J].振动与冲击,2010,29(9):93-96.
    [49]Antonino-Daviu J.A.. Riera-Guasp M., Pineda-Sanchez M. et al. A critical comparison between DWT and Hilbert-Huang-based methods for the diagnosis of rotor bar failures in induction machines [J]. IEEE Transactions on Industry Applications.2009,45(5):1794-1803.
    [50]Wang X.D., Li B.Q., Liu Z.W. et al. Analysis of partial discharge signal using Hilbert-Huang transform [J]. IEEE Transactions on Power Delivery, 2006,21(3):1063-1067.
    [51]Yan R.Q., GAO R.X.. A tour of the Hilbert-Huang transform:an empirical tool for signal analysis [J]. IEEE Instrumentation and Measurement Magazine,2007,10(5):40-45.
    [52]Brechet L., Lucas M.F., Doncarli C. et al. Compression of biomedical signals with mother wavelet optimization and best-basis wavelet packet selection [J]. IEEE Transactions on Biomedical Engineering,2007,54(12): 2186-2192.
    [53]Boczar T., Dariusz Z.. Application of wavelet analysis to acoustic emission pulses generated by partial discharges [J]. IEEE Transactions on Dielectrics and Electrical Insulation.2004,11(3):433-449.
    [54]Shi G.M., Chen X.Y., Song X.X. et al. Signal matching wavelet for ultrasonic flaw detection in high background noise [J]. IEEE Transaction on Ultrasonics, Ferroelectrics and Frequency Control,2011,58(4):776-787.
    [55]Mallat S.G.. A theory for multiresolution signal decomposition:the wavelet representation [J]. IEEE Transactions on Pattern Analysis and Machine Intelligence,1989,11(7):674-693.
    [56]Toliyat H.A., Abbaszadeh K., Rahimian M.M. et al. Rail defect diagnosis using wavelet packet decomposition [J]. IEEE Transactions of Industry Application,2003,39(5):1454-1461.
    [57]Tsai C.S., Hsieh C.T., Huang S.J.. Enhancement of damage-detection of wind turbine blades via CWT-based approaches [J]. IEEE Transactions on Energy Conversion,2006,21(3):776-781.
    [58]Lau E.C.C., Ngan H.W.. Detection of motor bearing outer raceway defect by wavelet packet transformed motor current signature analysis [J], IEEE Transactions on Instrumentation and Measurement,2010,59(10): 2683-1690.
    [59]Ye Z.M., Wu B., Sadeghian A.. Current signature analysis of induction motor mechanical faults by wavelet packet decomposition [J], IEEE Transactions on Industrial Electronics,2003,50(6):1217-1228.
    [60]Blodt M., Granjon P., Raison B. et al. Models for bearing damage detection in induction motors using stator current monitoring [J]. IEEE Transactions on Industrial Electronics,2008,55(4):1813-1822.
    [61]Levent Eren, Michael J. Devaney. Bearing damage detection via wavelet packet decomposition of the stator current [J]. IEEE Instrumentation and Measurement,2004,53(2):431-436.
    [62]Wang W.J., McFadden P.D.. Application of wavelets to gearbox vibration signals for fault detection [J]. Journal of Sound and Vibration,1996,192(5): 927-939.
    [63]张玲玲,找懿冠,肖云魁等.基于小波包-AR谱的变速器轴承故障特征提取[J].振动.测试与诊断,2011,31(4):492-495.
    [64]颜晟,苏广宁,张沛超等.基于故障录波时序信息的电网故障诊断[J].电力系统保护与控制,2011,39(17):114-119.
    [65]李国宾,关德林,李廷举.基于小波包变换和奇异值分解的柴油机振动信号特征提取研究[J].振动与冲击,2011,30(8):149-152.
    [66]肖文斌,陈进,周宇等.小波包变换和隐马尔可夫模型在轴承性能退化评估中的应用[J].振动与冲击,2011,30(8):32-35.
    [67]姚诚,刘广孚,李忠国等.基于小波系数功率谱的潜油电泵偏磨故障诊断[J].仪器仪表学报,2011,32(8):1757-1762.
    [68]谭冬梅,瞿伟廉,秦文科.基于小波包和模糊聚类的输电塔结构损伤诊断[J].天津大学学报,2011,44(8):695-700.
    [69]丁幼亮.李爱群,邓扬.面向结构损伤预警的小波包能量谱识别参数[J]. 东南大学学报(自然科学版),2011,41(4):824-828.
    [70]王彦岩,杨建国,宋宝玉.基于小波和模糊C-均值聚类算法的汽油机爆震诊断研究[J].内燃机工程,2011,32(4):56-60.
    [71]Hu X.Y., Peng S.L., Hwang W.L.. EMD revisited:a new understanding of the envelope and resolving the mode-mixing problem in AM-FM signals [J]. IEEE Transactions on Signal Processing.2012.60(3):1075-1086.
    [72]Xuan B., Xie Q.W., Peng S.L.. EMD sifting based on bandwidth [J]. IEEE Signal Processing Letters,2007,14(8):537-540.
    [73]Demir B., Erturk S.. Empirical mode decomposition of hyperspectral images for support vector machine classification [J]. IEEE Transactions on Geoscience and Remote Sensing.2010.48(11):4071-4084.
    [74]Huang N.E.. Shen Z.. Long S.R. et al. The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-startionary time series analysis [J]. Proceedings of The Royal of Society A, Mathematical Physical & Engineering Sciences.1998,454(1971):903-995.
    [75]Tanaka T.. Mandic D.P.. Complex empirical mode decomposition [J]. IEEE Signal Processing Letters,2007,14(2):101-104.
    [76]Rilling G., Flandrin P., Goncalves P. et al. Bivariante empirical mode decomposition [J]. IEEE Signal Processing Letters,2007,14(12):936-939.
    [77]Wu Z.H., Huang N.E.. Ensemble empirical mode decomposition:a noise-assisted data analysis method [J]. Advances in Adaptive Data Analysis,2009.1(1):1-4.
    [78]Chen Q.H., Huang N., Riemenschneider S. et al. A B-spline approach for empirical mode decompositions [J]. Advances in Computational Machematics.2006.24(1-4):171-195.
    [79]刘立君,王奇,杨克已等.基于EMD和频谱矫正的故障诊断方法[J].仪器仪表学报,2011,32(6):1278-1283.
    [80]Cheng J.S., Yu D.J., Yang Y. Application of support vector regression machines to the processing of effects of Hilbert-Huang transform [J]. Mechanical Systems and Signal Processing,2007,21(3):1197-1211.
    [81]Li R.Y., He D.. Rotational machine health monitoring and fault detection using EMD-Based Acoustic Emission Feature Quantification [J]. IEEE Transactions on Instrumentation and Measurement,2012,61(4):990-1001.
    [82]Gao Q., Duan C., Fan H. et al. Rotating machine fault diagnosis using empirical mode decomposition [J]. Mechanical Systems and Signal Processing,2008,22(5):1072-1081.
    [83]Rosero J.A., Romeral L., Ortega J.A. et al. Short-Circuit detection by means of empirical mode decomposition and wingner-ville distribution for PMSM running under dynamic condition [J]. IEEE Transactions on Industrial Electronics,2009,56(11):4534-4547.
    [84]Wu F.J., Qu L.S.. Diagnosis of subharmonic faults of large rotating machinery based on EMD [J]. Mechanical Systems and Signal Processing, 2009,23(2):467-475.
    [85]曹冲锋,杨世锡,杨将新.大型旋转机械非平稳振动信号的EEMD降噪方法[J].振动与冲击,2009,28(9):33-38.
    [86]Yan R.Q., Gao R.X.. Hilbert-Huang transform-based vibration signal analysis for machine health monitoring [J]. IEEE Transactions on Instrumentation and Measurement,2006,55(6):2320-2329.
    [87]Liu B., Riemenschneider S., Xu Y.. Gearbox fault diagnosis using empirical mode decomposition and Hilbert spectrum [J]. Mechanical Systems and Signal Processing,2006,20(3):718-734.
    [88]冷军发,荆双喜,陈东海.基于EMD与同态滤波解调的矿用齿轮箱故障诊断[J].振动、测试与诊断,2011,31(4):435-438.
    [89]曹精明,邵忍平,胡文涛.HOC与EMD结合的齿轮损伤检测研究[J].仪器仪表学报,2011,32(4):729-735.
    [90]蔡艳平,李艾华,石林锁等.基于EMD与谱峭度的滚动轴承故障检测 改进包络谱分析[J].振动与冲击,2011,30(2):167-191.
    [91]张超,陈建军,郭讯.基于EMD能量熵和支持向量机的齿轮故障诊断方法[J].振动与冲击,2010,29(10):216-220.
    [92]李琳,张永祥,明廷涛.EMD降噪的关联维数在齿轮故障诊断中的应用研究[J].振动与冲击,2009,28(4):145-148.
    [93]Yu D.J., Cheng J.S., Yang Y. Application of EMD method and Hilbert spectrum to the fault diagnosis of roller bearings [J]. Mechanical Systems and Signal Processing.2006,19(2):259-270.
    [94]Cheng J.S., Yu D.J., Yang Y. A fault diagnosis approach for roller bearings based on EMD method and AR model [J]. Mechanical Systems and Signal Processing,2006.20(2):350-362.
    [95]Cheng J.S.. Yu D.J.. Yang Y. The application of energy operator demodulation approach based on EMD in machinery fault diagnosis [J]. Mechanical Systems and Signal Processing.2007.21(2):668-677.
    [96]Yang Y., Yu D.J., Cheng J.S.. A fault diagnosis approach for roller bearing based on IMF envelope spectrum and SVM [J]. Measurement, 2007, 40(9-10):943-950.
    [97]Huang N.E., Shen Z., Long S.R. et al The empirical mode decomposition method and the Hilbert spectrum for non-stationary time series analysis [J]. Proceedings of the Royal Society A,1998,454(1971):903-995.
    [98]Huang N.E., Shen Z., Long S.R.. A new view of nonlinear water waves:the Hilbert spectrum [J]. Annual Review of Fluid Mechanics,1999,31: 41.7-457.
    [99]Cheng J.S., Yu D.J., Yang Y.. Research on the intrinsic mode function (IMF) criterion in EMD method [J]. Mechanical Systems and Signal Processing,2006,20(4):4817-824.
    [100]Rilling G., Flandrin P. Goncalves P.. On Empirical Mode Decomposition and its algorithms [C], Proceedings of IEEE-EURASIP Workshop on Nonlinear Signal and Image Processing, Grodo, Italy, June 8-11,2003.
    [101]生伟凯,刘卫,杨怀宇.国内外风电齿轮箱设计技术及主流技术路线综述与展望.风能[J],2012,4:40-44.
    [102]王丽丽,王超.滚动轴承早期故障在线监测与诊断[J].西安交通大学学报,1998,32(6):74-77.
    [103]Zhou W., Lu B., Haberler T.G.. Incipient bearing fault detection via motor stator current noise cancellation using wiener filter [J]. IEEE Transactions on Industry Application,2009,45(4):1309-1317.
    [104]曾庆虎,邱静,刘冠军等.基于小波相关滤波-包络分析的早期故障特征提取方法[J].仪器仪表学报,2008,29(4):729-733.
    [105]Wang C.T., Gao R.X.. Wavelet transform with spectral post-processing for enhanced feature extraction [J]. IEEE Transactions on Instrumentation and Measurement,2003,52(4):1296-1301.
    [106]赵俊龙,郭正刚,张志新等.梳状滤波器在滚动轴承早期故障诊断中的应用[J].振动与冲击,2008,27(2):171-174.
    [107]胡爱军,唐贵基,安连锁.振动信号采集中剔除脉冲的新方法[J].振动与冲击,2006,25(1):126-127,132.
    [108]郭亚.振动信号处理中的小波基选择研究[D].合肥:合肥工业大学,2003.
    [109]Chatzis V., Pitas I.. A generalized fuzzy mathematical morphology and its application in robust 2-D and 3-D object representation [J]. IEEE Transactions on Image Processing,2000,9(10):1798-1810.
    [110]Soille P., Pesaresi M.. Advances in mathematical morphology applied to geoscience and remote sensing [J]. IEEE Transactions on Geoscience and Remote Sensing Society,2002,40(9):2042-2055.
    [111]Dwivedi U.D., Singh S.N.. Enhanced Detection of Power-Quality Events Using Intra Interscale Dependencies of Wavelet Coefficients [J]. IEEE Transactions on Power Delivery,2010,25(1):358-366.
    [112]Zhang Y., Wang Y.Y., Wang W.Q. et al. Doppler ultrasound signal denoising based on wavelet frames [J]. IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control,2001,48(3):709-716.
    [113]Wang X.H.. Istepanian R.S.H., Song Y.H.. Microarray image enhancement by denoising using stationary wavelet transform [J]. IEEE Transactions on NanoBioscience.2003,2(4):184-189.
    [114]Chang S.G., Bin Y., Vetterli M.. Wavelet thresholding for multiple noisy image copies [J]. IEEE Transactions on Image Processing,2002,9(9): 1631-1635.
    [115]刘胜,张玉廷.基于小波降噪的船用行程传感器电磁干扰信号抑制研究[J].仪器仪表学报.2010,31(4):747-752.
    [116]Deng Z.F., Yin Z.P., Xiong Y.L.. High probability impulse noise-removing algorithm based on mathematical morphology [J]. IEEE Signal Processing Letters.2007,14(1):31-34.
    [117]胡爱军.唐贵基,安连锁.基于数学形态学的旋转机械振动信号降噪方法[J].机械工程学报.2006,42(4):127-130.
    [118]梅宏斌.滚动轴承振动监测与诊断理论.方法.系统[M].北京:机械工业出版社,1996.
    [119]Fan X.F., Zuo M.J. Machine fault feature extraction based on intrinsic mode functions [J]. Measurement Science and Technology.2008,19(4):285-304.
    [120]Peng Z.K., Tse P.W., Chu F.L.. A comparison study of improved Hilbert-Huang transform and wavelet transform:Application to fault diagnosis for rolling bearing [J]. Mechanical Systems and Signal Processing,2005,19(5):974-988.
    [121]高亚东,张曾,余建航.旋翼变距拉杆关节轴承磨损故障特征及磨损程度识别[J].南京航空航天大学学报.2006,38(1):6-10.
    [122]董广明,陈进.基于循环频率能量的滚动轴承损伤程度识别[J].振动工程学报,2010,23(3):249-253.
    [123]Lee S.B., Kliman G.B. et al. An advanced technique for detecting inter-laminar stator core faults in large electric machines [J]. IEEE Transactions on Industry Applications,2005,41(5):1185-1193.
    [124]Ma L.Y., Ma Y.G., Lee K.Y.. An intelligent power plant fault diagnostics for varying degree of severity and loading conditions [J]. IEEE Transactions on Energy Conversion,2010,25(2):546-554.
    [125]The Case Western Reserve University. Bearing Data Center Seeded Fault Test Data [EB/OL]. http://csegroups.case.edu/bearingdatacenter/home.
    [126]Cheng J.S., Yu D.J., Yang Y.. The application of energy operator demodulation approach based on EMD in machinery fault diagnosis [J]. Mechanical Systems and Signal Processing,2007,21(2):668-677.
    [127]Yu D.J., Cheng J.S., Yang Y. Application of EMD method and Hilbert spectrum to the fault diagnosis of roller bearings [J]. Mechanical Systems and Signal Processing,2005,19(2):259-270.
    [128]夏天,王新睛.肖云魁等.应用EMD-AR谱提取柴油机曲轴轴承故障特征[J].振动.测试与诊断,2010,30(3):318-321.
    [129]Pezeshki A., Charf L.L., Thomas J.K. et al. Canonical coordinates are the right coordinates for low-rank gauss-gauss detection and estimation [J]. IEEE Transactions on Signal Processing,2006,54(12):4817-4820.
    [130]Chiang M.C., Leow A.D., Klunder A.D. et al. Fluid registration of diffusion tensor images using information theory [J]. IEEE Transactions on Medical Imaging,2008,27(4):442-456.
    [131]Kullback S., Leibler R.A.. On information and sufficiency [J]. Annals of Mathematical Statistics,1951,22(1):79-8.
    [132]Seghouane A.K., Bekara M.. A small sample model selection criterion based on Kullback's symmetric divergence [J]. IEEE Transactions on Signal Processing,2004,52(12):3314-3323.
    [133]杨宇,于德介,程军圣.基于EMD与神经网络的滚动轴承故障诊断方 法[J].振动与冲击,2005,24(1):85-88.
    [134]沈志熙,黄席樾,马笑潇.基于EMD与支持向量机的柴油机故障诊断[J].振动、测试与诊断.2010,30(1):19-22.
    [135]Kang S., Ryu J., Lee J. et al. Analysis of space-time adaptive processing performance using K-means clustering algorithm for normalization method in non-homogeneity detector process [J]. IET Signal Processing,2011.5(2): 113-120.
    [136]Lee J.W., Park R.H., Chang S.K.. Local tone mapping using the K-means [J]. IEEE Transactions on Consumer Electronics,2011,57(1):209-217.
    [137]Widjaja D.. Varon C., Dorado A. et al. Application of kernel principal component analysis for single-lead-ECG-derived respiration [J]. IEEE Transaction on Biomedical Engineering.2012,59(4):1169-1176.
    [138]Mauldin F.W., Dan Lin. Hossack J.A.. The singular value filter:a general filter design strategy for PCA-based signal separation in medical ultrasound imaging [J]. IEEE Transaction on Medical Imaging,2011, 30(11):1951-1964.
    [139]Mita-Teknik Great at Control. Condition MonitoringSystem-CMS/CBMS [EB/OL].http://www.mita-teknik.com/Solutions/CMSCBMS/ConditionMo nitoringSystemCMSCBMS.aspx.
    [140]PRUFTECHNIK. VIBRONET Signalmaster [EB/OL]. http://www.pruftech nik.com/cn/condition-monitoring/products/online-systems/product/vibronet-signalmaster.html?cHash=1b795aedc9.
    [141]Areva. Condition maintenance [EB/OL]. http://www.areva.com/EN/global-offer-410/conditional-maintenance-for-more-competitive-machines.html?xt mc=OneProd&xtcr=l.
    [142]SKF.在线系统[EB/OL]. http://www.skf.com/portal/skf/home/products? contentld=292241 &lang=zh.
    [143]Gamesa. OPERATION AND MAINTENANCE SERVICES [EB/OL].http:/ /www.gamesacorp.com/en/products-and-services/operation-and-maintenan ce-services/.
    [144]Commtest. Ascent振动分析与管理软件[EB/OL]. http://commtest.com/ products/ascent/.
    [145]Alstom Strongwish (Shenzhen) Co., Ltd. S8000 Plus Rotating Machinery On-ling Condition Monitoring and Diagnostic System [EB/OL]. http://www.alstom.com/china/locations/strongwish-shenzhen/.
    [146]ROZH容知工业安全监测专家.解决方案:风电[EB/OL]. http://www. rozh.com.cn/a/jiejuefangan/fengdian/.