Prediction of Dissolved Gas Content in Transformer Oil Based on SMA-VMD-GRU Model
Yang Tongliang1,2, Hu Dong1, Tang Chao1, Fang Yun1, Xie Jufang1,2
1. School of Engineering and Technology Southwest University Chongqing 400715 China; 2. International R&D Center for Smart Grid and New Equipment Technology Southwest University Chongqing 400715 China
Abstract:Dissolved gas analysis (DGA) in transformer oil is the most effective and convenient method for fault diagnosis of oil-immersed transformers. However, DGA only analyzes the real-time content of dissolved gases in transformer oil. Therefore, how to use effective historical data to accurately predict the content of dissolved gas in transformer oil for a period of time in the future is of great significance for transformer early fault diagnosis. The content of dissolved gas in transformer oil is affected by external factors such as temperature and its own content, which will lead to nonlinear and non-stationary characteristics of the gas content sequence, leading to errors in the prediction accuracy. Aiming at the problem that the nonlinear and non-stationary characteristics of dissolved gas concentration series in power transformer oil affect the prediction accuracy, a prediction model of dissolved gas concentration in power transformer oil is proposed based on slime mold algorithm (SMA) to optimize the variated mode decomposition (VMD) and combined with gating cycle unit (GRU). First, the preprocessed original sequence is detrended by the difference method. Secondly, based on the slime mold algorithm and the variational mode decomposition, a variational mode decomposition optimized by the slime mold algorithm is constructed, and the detrending sequence is decomposed into a set of stationary and regular mode components. Thirdly, the GRU with better prediction performance is used to predict the modal components obtained by decomposition. Finally, the final prediction result is obtained by superposition reconstruction. The simulation results of 450 days historical data of an oil-carrying immersed transformer show that the absolute percentage error and root mean square error of the proposed prediction model for the H2 content of dissolved gas in transformer oil in the next 50 days are 0.36% and 1.76μL/L, respectively. Compared with the prediction model composed of empirical mode decomposition (EMD) and long short-term memory neural network (LSTM), the SMA-VMD-GRU prediction model proposed in this study has the smallest error. And the same method was used to predict the dissolved gas CH4, CO and total hydrocarbon content in the same transformer oil. The absolute percentage error of the three gas prediction results was 0.29%, 0.15% and 4.99%, respectively, and the root mean square error was 0.02μL/L, 1.13μL/L and 0.50μL/L, respectively. The effectiveness of the proposed prediction model based on SMA-VMD-GRU was verified. Through simulation analysis, the following conclusions can be drawn: ① Using the difference method to extract the sequence trend term effectively solves the deficiency of VMD that cannot accurately extract the trend term. Then, through VMD decomposition after SMA optimization, the complex dissolved gas sequence in oil can be decomposed into a group of stable and periodic mode components, which effectively solves the problem of the influence of nonlinear and non-stationary characteristics of the original sequence on the prediction accuracy. ② In the prediction of dissolved gas in transformer oil, the GRU network converges faster than the LSTM network. Therefore, GRU network has more advantages than LSTM. On the premise that the differential method and VMD lifting sequence can be predicted in the early stage, the prediction accuracy of dissolved gas concentration in oil is further improved, which is helpful to the early fault diagnosis of transformers. ③ The effectiveness of the prediction model of dissolved gas content in transformer oil based on SMA-VMD-GRU is proved by simulation and prediction experiments of various gas concentrations in dissolved gas in transformer oil.
杨童亮, 胡东, 唐超, 方云, 谢菊芳. 基于SMA-VMD-GRU模型的变压器油中溶解气体含量预测[J]. 电工技术学报, 2023, 38(1): 117-130.
Yang Tongliang, Hu Dong, Tang Chao, Fang Yun, Xie Jufang. Prediction of Dissolved Gas Content in Transformer Oil Based on SMA-VMD-GRU Model. Transactions of China Electrotechnical Society, 2023, 38(1): 117-130.
[1] 梁得亮, 柳轶彬, 寇鹏, 等. 智能配电变压器发展趋势分析[J]. 电力系统自动化, 2020, 44(7): 1-14. Liang Deliang, Liu Yibin, Kou Peng, et al.Analysis of development trend for intelligent distribution transformer[J]. Automation of Electric Power Systems, 2020, 44(7): 1-14. [2] 李恩文, 王力农, 宋斌, 等. 基于改进模糊聚类算法的变压器油色谱分析[J]. 电工技术学报, 2018, 33(19): 4594-4602. Li Enwen, Wang Linong, Song Bin, et al.Analysis of transformer oil chromatography based on improved fuzzy clustering algorithm[J]. Transactions of China Electrotechnical Society, 2018, 33(19): 4594-4602. [3] 国家能源局. DL/T 573—2021 电力变压器检修导则[S]. 北京: 中国电力出版社, 2021. [4] 国家能源局. DL/T 722—2014 变压器油中溶解气体分析和判断导则[S]. 北京: 中国电力出版社, 2015. [5] 张燕, 方瑞明. 基于油中溶解气体动态网络标志物模型的变压器缺陷预警与辨识[J]. 电工技术学报, 2020, 35(9): 2032-2041. Zhang Yan, Fang Ruiming.Fault detection and identification of transformer based on dynamical network marker model of dissolved gas in oil[J]. Transactions of China Electrotechnical Society, 2020, 35(9): 2032-2041. [6] 江秀臣, 盛戈皞. 电力设备状态大数据分析的研究和应用[J]. 高电压技术, 2018, 44(4): 1041-1050. Jiang Xiuchen, Sheng Gehao.Research and application of big data analysis of power equipment condition[J]. High Voltage Engineering, 2018, 44(4): 1041-1050. [7] 蒲天骄, 乔骥, 韩笑, 等. 人工智能技术在电力设备运维检修中的研究及应用[J]. 高电压技术, 2020, 46(2): 369-383. Pu Tianjiao, Qiao Ji, Han Xiao, et al.Research and application of artificial intelligence in operation and maintenance for power equipment[J]. High Voltage Engineering, 2020, 46(2): 369-383. [8] Liu Chang, Zhang Hongzhi, Xie Zhicheng, et al.Combined forecasting method of dissolved gases concentration and its application in condition-based maintenance[J]. IEEE Transactions on Power Delivery, 2019, 34(4): 1269-1279. [9] 修春波, 任晓, 李艳晴, 等. 基于卡尔曼滤波的风速序列短期预测方法[J]. 电工技术学报, 2014, 29(2): 253-259. Xiu Chunbo, Ren Xiao, Li Yanqing, et al.Short-term prediction method of wind speed series based on Kalman filtering fusion[J]. Transactions of China Electrotechnical Society, 2014, 29(2): 253-259. [10] 张婷婷, 于明, 李宾, 等. 基于Wavelet降噪和支持向量机的锂离子电池容量预测研究[J]. 电工技术学报, 2020, 35(14): 3126-3136. Zhang Tingting, Yu Ming, Li Bin, et al.Capacity prediction of lithium-ion batteries based on Wavelet noise reduction and support vector machine[J]. Transactions of China Electrotechnical Society, 2020, 35(14): 3126-3136. [11] 徐肖伟, 李鹤健, 于虹, 等. 基于随机森林的变压器油中溶解气体浓度预测[J]. 电子测量技术, 2020, 43(3): 66-70. Xu Xiaowei, Li Hejian, Yu Hong, et al.Concentration prediction of dissolved gases in transformer oil based on random forest[J]. Electronic Measurement Technology, 2020, 43(3): 66-70. [12] 代杰杰, 宋辉, 盛戈皞, 等. 采用LSTM网络的电力变压器运行状态预测方法研究[J]. 高电压技术, 2018, 44(4): 1099-1106. Dai Jiejie, Song Hui, Sheng Gehao, et al.Prediction method for power transformer running state based on LSTM network[J]. High Voltage Engineering, 2018, 44(4): 1099-1106. [13] Qi Bo, Wang Yiming, Zhang Peng, et al.A novel deep recurrent belief network model for trend prediction of transformer DGA data[J]. IEEE Access, 2019, 7: 80069-80078. [14] 刘可真, 苟家萁, 骆钊, 等. 基于粒子群优化-长短期记忆网络模型的变压器油中溶解气体浓度预测方法[J]. 电网技术, 2020, 44(7): 2778-2785. Liu Kezhen, Gou Jiaqi, Luo Zhao, et al.Prediction of dissolved gas concentration in transformer oil based on PSO-LSTM model[J]. Power System Technology, 2020, 44(7): 2778-2785. [15] 崔宇, 侯慧娟, 胥明凯, 等. 基于双重注意力机制的变压器油中溶解气体预测模型[J]. 中国电机工程学报, 2020, 40(1): 338-347, 400. Cui Yu, Hou Huijuan, Xu Mingkai, et al.A prediction method for dissolved gas in power transformer oil based on dual-stage attention mechanism[J]. Proceedings of the CSEE, 2020, 40(1): 338-347, 400. [16] 刘展程, 王爽, 唐波. 基于SSA-BiGRU-Attention模型的变压器油中溶解气体含量预测[J]. 高电压技术, 2022, 48(8): 2972-2981. Liu Zhancheng, Wang Shuang, Tang Bo.Prediction of dissolved gas content in transformer oil based on SSA-BiGRU-attention model[J]. High Voltage Engineering, 2022, 48(8): 2972-2981. [17] 马星河, 张登奎. 基于改进经验小波变换的高压电缆局部放电噪声抑制研究[J]. 电工技术学报, 2021, 36(增刊1): 353-361. Ma Xinghe, Zhang Dengkui.Research on suppression of partial discharge noise of high voltage cable based on improved empirical wavelet transform[J]. Transactions of China Electrotechnical Society, 2021, 36(S1): 353-361. [18] 林琳, 陈志英. 基于粗糙集神经网络和振动信号的高压断路器机械故障诊断[J]. 电工技术学报, 2020, 35(增刊1): 277-283. Lin Lin, Chen Zhiying.Mechanical fault diagnosis of high voltage circuit breakers based on rough set neural networks and vibration signals[J]. Transactions of China Electrotechnical Society, 2020, 35(S1): 277-283. [19] Dragomiretskiy K, Zosso D.Variational mode decomposition[J]. IEEE Transactions on Signal Processing, 2014, 62(3): 531-544. [20] 叶林, 刘鹏. 基于经验模态分解和支持向量机的短期风电功率组合预测模型[J]. 中国电机工程学报, 2011, 31(31): 102-108. Ye Lin, Liu Peng.Combined model based on EMD-SVM for short-term wind power prediction[J]. Proceedings of the CSEE, 2011, 31(31): 102-108. [21] Wu Zhaohua, Huang N E.Ensemble empirical mode decomposition: a noise-assisted data analysis method[J]. Advances in Adaptive Data Analysis, 2009, 1(1): 1-41. [22] 曹奇, 岳东杰, 高永攀, 等. 基于非平稳时间序列的不同趋势项提取方法对比研究[J]. 大地测量与地球动力学, 2013, 33(6): 150-154. Cao Qi, Yue Dongjie, Gao Yongpan, et al.Contrast study on various methods extracting trend extraction based on non-stationary time series[J]. Journal of Geodesy and Geodynamics, 2013, 33(6): 150-154. [23] 杨茂, 白玉莹. 基于多位置NWP和门控循环单元的风电功率超短期预测[J]. 电力系统自动化, 2021, 45(1): 177-183. Yang Mao, Bai Yuying.Ultra-short-term prediction of wind power based on multi-location numerical weather prediction and gated recurrent unit[J]. Automation of Electric Power Systems, 2021, 45(1): 177-183. [24] 李超然, 肖飞, 樊亚翔, 等. 基于门控循环单元神经网络和Huber-M估计鲁棒卡尔曼滤波融合方法的锂离子电池荷电状态估算方法[J]. 电工技术学报, 2020, 35(9): 2051-2062. Li Chaoran, Xiao Fei, Fan Yaxiang, et al.A hybrid approach to lithium-ion battery SOC estimation based on recurrent neural network with gated recurrent unit and Huber-M robust Kalman filter[J]. Transactions of China Electrotechnical Society, 2020, 35(9): 2051-2062. [25] 王科, 苟家萁, 彭晶, 等. 基于LSTM网络的变压器油中溶解气体浓度预测[J]. 电子测量技术, 2020, 43(4): 81-87. Wang Ke, Gou Jiaqi, Peng Jing, et al.Prediction of dissolved gas concentration in transformer oil based on LSTM network[J]. Electronic Measurement Technology, 2020, 43(4): 81-87. [26] 卫永鹏, 苏益辉, 王胜利, 等. 基于改进门控循环单元的变压器油中气体浓度预测[J]. 电气技术, 2022, 23(2): 55-60. Wei Yongpeng, Su Yihui, Wang Shengli, et al.Prediction of gas concentration in transformer oil based on improved gated recurrent unit[J]. Electrical Engineering, 2022, 23(2): 55-60. [27] Ali M, Khan A, Rehman N U.Hybrid multiscale wind speed forecasting based on variational mode decomposition[J]. International Transactions on Electrical Energy Systems, 2018, 28(1): e2466. [28] 陈强伟, 蔡文皓, 牛春光, 等. 基于VMD的APF谐波检测算法[J]. 电力科学与技术学报, 2018, 33(1): 120-124. Chen Qiangwei, Cai Wenhao, Niu Chunguang, et al.A APF harmonics detection method based on VMD[J]. Journal of Electric Power Science and Technology, 2018, 33(1): 120-124. [29] Li Shimin, Chen Huiling, Wang Mingjing, et al.Slime mould algorithm: a new method for stochastic optimization[J]. Future Generation Computer Systems, 2020, 111: 300-323. [30] Gürses D, Bureerat S, Sait S M, et al.Comparison of the arithmetic optimization algorithm, the slime mold optimization algorithm, the marine predators algorithm, the salp swarm algorithm for real-world engineering applications[J]. Materials Testing, 2021, 63(5): 448-452. [31] 李青, 张新燕, 马天娇, 等. 基于ECBO-VMD-WKELM的风电功率超短期多步预测[J]. 电网技术, 2021, 45(8): 3070-3080. Li Qing, Zhang Xinyan, Ma Tianjiao, et al.Multi-step ahead ultra-short term forecasting of wind power based on ECBO-VMD-WKELM[J]. Power System Technology, 2021, 45(8): 3070-3080. [32] 刘树鑫, 宋健, 刘洋, 等. 交流接触器触头系统运动分析及故障诊断研究[J]. 电工技术学报, 2021, 36(增刊2): 477-486. Liu Shuxin, Song Jian, Liu Yang, et al.Research on motion analysis and fault diagnosis of contact system of AC contactor[J]. Transactions of China Electrotechnical Society, 2021, 36(S2): 477-486. [33] 李舒适, 王丰华, 耿俊秋, 等. 基于优化VMD的高压断路器机械状态检测[J]. 电力自动化设备, 2018, 38(11): 148-154. Li Shushi, Wang Fenghua, Geng Junqiu, et al.Mechanical state detection of high voltage circuit breaker based on optimized VMD algorithm[J]. Electric Power Automation Equipment, 2018, 38(11): 148-154. [34] Zhang Lijun, Zhang Bin, He Fei, et al.Impact analyzing based on new method of phase space reconstruction[C]//2013 IEEE International Conference on Mechatronics and Automation, Takamatsu, Japan, 2013: 587-592. [35] 向玲, 邓泽奇, 赵玥. 基于LPF-VMD和KELM的风速多步预测模型[J]. 电网技术, 2019, 43(12): 4461-4467. Xiang Ling, Deng Zeqi, Zhao Yue.Multi-step wind speed prediction model based on LPF-VMD and KELM[J]. Power System Technology, 2019, 43(12): 4461-4467. [36] He Jiangbiao, Yang Qichen, Wang Zheng.On-line fault diagnosis and fault-tolerant operation of modular multilevel converters—a comprehensive review[J]. CES Transactions on Electrical Machines and Systems, 2020, 4(4): 360-372.