Fault Diagnosis of Broken Rotor Bar in Induction Motor Based on TKEO and Goertzel Algorithm
Wang Zhaowei1, Guo Wenjun1, Song Xiangjin1, Zhao Wenxiang1,2
1. School of Electrical and Information Engineering Jiangsu University Zhenjiang 212013 China; 2. School of Electric Power Engineering Nanjing Institute of Technology Nanjing 211167 China
Abstract:As an important energy conversion device, induction motors (IM) are widely used in electric vehicles, industrial machinery, and aerospace appliances. Although broken rotor bar (BRB) faults only account for about 10% of total IM failures, fault-related features are often submerged with strong background noise, which makes it difficult to detect at an early stage. Compared to other signals that indicate the condition of the IM, such as voltage, vibration, airgap flux, and acoustic emission, the current signal is low-cost, non-invasive, and simple to acquire. However, extracting fault components at low-load operating conditions is challenging for BRB detection using motor current signature analysis (MCSA). Furthermore, conventional approaches of MCSA fail to estimate the rotor speed and compute a small number of selected frequency components. This paper proposes a BRB fault diagnosis method for an IM based on Teager-Kaiser Energy Operator (TKEO) demodulation and the Goertzel algorithm. Firstly, based on the sideband frequency components caused by the BRB fault and the inherent eccentric harmonic component in the current signal, the demodulation performance of TKEO and frequency domain energy operator (FDEO) are analyzed. With the two demodulation methods, the supply frequency component is converted into a DC component and removed. Meanwhile, the modulation sideband components and the inherent eccentric harmonic components are transformed into the BRB fault characteristic and the rotor speed harmonic components. Therefore, the interference caused by the spectrum leakage of supply frequency components to the fault diagnosis and the speed estimation is suppressed. Then, to reduce the computational complexity, the Goertzel algorithm is used to compute a small number of selected frequency components of the normalized demodulated signal. The fast extraction of the BRB fault characteristic component and rotor speed harmonic component is realized. Finally, the theoretical value of the BRB fault characteristic component is calculated using the estimated rotor speed harmonic component. By comparing the frequencies and amplitudes of the detection and theoretical BRB fault characteristic components, the conclusion can be determined whether the BRB fault occurs. The effectiveness of the theoretical analysis and the proposed method is validated on the experimental database of Western Parana State University. Even if the severity of the BRB fault is relatively high, due to the spectrum leakage of the supply frequency component, the motor current signal cannot detect the BRB fault characteristic component under light load conditions. The performance of the proposed method and the FDEO under different loads and severity conditions are presented in terms of their efficiency and stability. Although both methods can suppress the spectrum leakage, comparative experiments demonstrate that the FDEO method can only identify the BRB fault characteristic components under several load cases, which is susceptible to noise interference. The proposed method can effectively recognize the BRB fault characteristic components under different loads and severity conditions with less calculation, high reliability, solid real-time performance, and low hardware cost.
王照伟, 郭雯君, 宋向金, 赵文祥. 融合TKEO和Goerztel算法的感应电机转子断条故障诊断[J]. 电工技术学报, 2024, 39(12): 3679-3690.
Wang Zhaowei, Guo Wenjun, Song Xiangjin, Zhao Wenxiang. Fault Diagnosis of Broken Rotor Bar in Induction Motor Based on TKEO and Goertzel Algorithm. Transactions of China Electrotechnical Society, 2024, 39(12): 3679-3690.
[1] 陈鹏, 谢颖, 李道璐. 感应电机定子匝间短路故障温升特性研究[J]. 电工技术学报, 2023, 38(18): 4875-4888. Chen Peng, Xie Ying, Li Daolu.Research on the temperature rise characteristics of induction motors with stator inter-turn fault[J]. Transactions of China Electrotechnical Society, 2023, 38(18): 4875-4888. [2] 王万丁, 宋向金, 陈前, 等. 采用整流技术的变频供电感应电机转子断条故障诊断方法[J]. 电工技术学报, 2022, 37(16): 4074-4083. Wang Wanding, Song Xiangjin, Chen Qian, et al.Broken rotor bar fault diagnosis in inverter-fed induction motors using the rectification technology[J]. Transactions of China Electrotechnical Society, 2022, 37(16): 4074-4083. [3] 李睿彧, 刘飞, 梁霖, 等. 基于参数优化变分模态分解的交流变频电机转子断条故障识别方法[J]. 电工技术学报, 2021, 36(18): 3922-3933. Li Ruiyu, Liu Fei, Liang Lin, et al.Fault identification of broken rotor bars for the variable frequency AC motor based on parameter optimized variational mode decomposition[J]. Transactions of China Electrotechnical Society, 2021, 36(18): 3922-3933. [4] 夏志凌, 胡凯波, 刘心悦, 等. 基于变模态分解的异步电机转子断条故障诊断[J]. 电工技术学报, 2023, 38(8): 2048-2059. Xia Zhiling, Hu Kaibo, Liu Xinyue, et al.Fault diagnosis of rotor broken bar in induction motor based on variable mode decomposition[J]. Transa- ctions of China Electrotechnical Society, 2023, 38(8): 2048-2059. [5] 贾朱植, 徐建英, 宋向金, 等. 鼠笼电机转子断条故障的定子电流信号平方解调分析诊断方法[J]. 仪器仪表学报, 2015, 36(9): 2097-2103. Jia Zhuzhi, Xu Jianying, Song Xiangjin, et al.Square stator current demodulation analysis diagnosis method for broken rotor bar fault of squirrel cage motor[J]. Chinese Journal of Scientific Instrument, 2015, 36(9): 2097-2103. [6] Abd-el-Malek M, Abdelsalam A K, Hassan O E. Induction motor broken rotor bar fault location detection through envelope analysis of start-up current using Hilbert transform[J]. Mechanical Systems and Signal Processing, 2017, 93: 332-350. [7] Valles-Novo R, de Jesus Rangel-Magdaleno J, Ramirez-Cortes J M, et al. Empirical mode decom- position analysis for broken-bar detection on squirrel cage induction motors[J]. IEEE Transactions on Instrumentation and Measurement, 2015, 64(5): 1118-1128. [8] Pineda-Sanchez M, Riera-Guasp M, Antonino-Daviu J A, et al. Diagnosis of induction motor faults in the fractional Fourier domain[J]. IEEE Transactions on Instrumentation and Measurement, 2010, 59(8): 2065-2075. [9] Pineda-Sanchez M, Puche-Panadero R, Riera-Guasp M, et al.Application of the Teager-Kaiser energy operator to the fault diagnosis of induction motors[J]. IEEE Transactions on Energy Conversion, 2013, 28(4): 1036-1044. [10] Li Haiyang, Feng Guojin, Zhen Dong, et al.A normalized frequency-domain energy operator for broken rotor bar fault diagnosis[J]. IEEE Transactions on Instrumentation and Measurement, 2021, 70: 3500110. [11] Filippetti F, Franceschini G, Tassoni C, et al.AI techniques in induction machines diagnosis including the speed ripple effect[J]. IEEE Transactions on Industry Applications, 1998, 34(1): 98-108. [12] 李唐安, 李世阳, 张家明, 等. 基于Goertzel算法的红外气体检测方法[J]. 红外与激光工程, 2019, 48(3): 76-81. Li Tang'an, Li Shiyang, Zhang Jiaming, et al.Infrared detection method of gas based on Goertzel algorithm[J]. Infrared and Laser Engineering, 2019, 48(3): 76-81. [13] Shi Dongfeng, Unsworth P J, Gao R X.Sensorless speed measurement of induction motor using Hilbert transform and interpolated fast Fourier transform[J]. IEEE Transactions on Instrumentation and Measure- ment, 2006, 55(1): 290-299. [14] 杨凯, 李孺涵, 罗成, 等. 负载变化下无传感器感应电机主动零频穿越及脉动抑制策略[J]. 电工技术学报, 2023, 38(18): 4910-4920. Yang Kai, Li Ruhan, Luo Cheng, et al.Proactive low-frequency ride-through method and its ripple reduction for sensorless induction motor drives under load variations[J]. Transactions of China Electro- technical Society, 2023, 38(18): 4910-4920. [15] Chirindo M, Khan M A, Barendse P.Analysis of non-intrusive rotor speed estimation techniques for inverter-fed induction motors[J]. IEEE Transactions on Energy Conversion, 2021, 36(1): 338-347. [16] Aline E T, Rogério A F, Marcelo S, et al. Experi- mental database for detecting and diagnosing rotor broken bar in a three-phase induction motor[DB/OL]. IEEE Dataport, 2020, https://dx.doi.org/10.21227/ fmnm-bn95.