A fast implementation of the convolution backprojection（CBP）algorithm in spotlight synthetic aperture radar（SAR）is presented based on the fast Fourier transform（FFT）.Traditionally,the computation of the ＇backpr...A fast implementation of the convolution backprojection（CBP）algorithm in spotlight synthetic aperture radar（SAR）is presented based on the fast Fourier transform（FFT）.Traditionally,the computation of the ＇backprojection＇ process is expensive,since resampling in the process is implemented by using the interpolation operation.By analyzing the relative location relationship among different pixels,the algorithm realizes the ＇backprojection＇ using a series of FFTs instead of the interpolation operation.The point target simulation validates that the new algorithm accelerates the CBP algorithm,and the computational rate increases about 85%.展开更多
Permanent magnet synchronous motor(PMSM)is widely used in various production processes because of its high efficiency,fast reaction time,and high power density.With the continuous promotion of new energy vehicles,time...Permanent magnet synchronous motor(PMSM)is widely used in various production processes because of its high efficiency,fast reaction time,and high power density.With the continuous promotion of new energy vehicles,timely detection of PMSM faults can significantly reduce the accident rate of new energy vehicles,further enhance consumers’trust in their safety,and thus promote their popularity.Existing fault diagnosis methods based on deep learning can only distinguish different PMSM faults and cannot interpret and analyze them.Convolutional neural networks(CNN)show remarkable accuracy in image data analysis.However,due to the“black box”problem in deep learning models,the diagnostic results regarding providing accurate information to the user are uncertain.This paper proposes a motor fault diagnosis method based on improved deep residual network(ResNet)and gradient-weighted class activation mapping(Grad-CAM)to analyze demagnetization and eccentricity faults of permanent magnet synchronous motors,and the uncertainty limitation of fault diagnosis based on the convolutional neural network is overcome by the visual interpretation method.The improved ResNet is formed by using ResNet9 as the backbone network,replacing the last convolution layer with a atrous spatial pyramid pooling(ASPP),and adding a multi-scale feature fusion module and attention channel mechanism(CAM).The proposed model not only retains the effective extraction of image features by ResNet9 but also enhances the sensitivity field of the network through the hollow convolution pyramid and realizes the feature fusion of the web on different scales through the multi-scale feature fusion module(MSFFM),further improving the diagnostic accuracy of the network on different types of fault features.The diagnostic effect of the network is verified on the selfmade data set,which mainly includes five states:normal(He),25%demagnetization(De25),50%demagnetization(De50),10%static eccentricity(Se10),and 20%static eccentricity(Se20).The number of pictures in the training set is 6000,and the number in the test set is 1500.The average diagnostic accuracy of the improved ResNet on this dataset is 99.00%,which is 1.04%,8.89%,4.58%,and 7.22%higher than that of the multi-column convolutional neural network(MCNN),Bi-directional long short-term memory(Bi-LSTM),deep belief network(DBN),and recurrent neural network(RNN)models,respectively.Finally,gradient activation heat maps were used to globally average pool the final output feature map of the network to obtain feature weights.They were superimposed with the original image to get gradient activation heat maps of different grayscale images.The warmer the tone of the heat map,the greater the impact on the network diagnosis results,and then the demagnetization and eccentricity fault characteristics of the permanent magnet synchronous motor were determined-visual characterization of quantitative analysis.展开更多
基金Supported by the National Natural Science Foundation of China(61071165)the Aeronautical Science Foundation of China(20080152004)+1 种基金the Ph.D.Programs Foundation of Ministry of Education of China(20070280531)the Program for New Century Excellent Talents in University(NCET-09-0069)~~
文摘A fast implementation of the convolution backprojection（CBP）algorithm in spotlight synthetic aperture radar（SAR）is presented based on the fast Fourier transform（FFT）.Traditionally,the computation of the ＇backprojection＇ process is expensive,since resampling in the process is implemented by using the interpolation operation.By analyzing the relative location relationship among different pixels,the algorithm realizes the ＇backprojection＇ using a series of FFTs instead of the interpolation operation.The point target simulation validates that the new algorithm accelerates the CBP algorithm,and the computational rate increases about 85%.
基金funded by National Natural Science Foundation of China(Grant Numbers 51867006,51867007)the Natural Science and Technology Foundation of the Guizhou Province,China(Grant Numbers[2018]5781,[2018]1029).
文摘Permanent magnet synchronous motor(PMSM)is widely used in various production processes because of its high efficiency,fast reaction time,and high power density.With the continuous promotion of new energy vehicles,timely detection of PMSM faults can significantly reduce the accident rate of new energy vehicles,further enhance consumers’trust in their safety,and thus promote their popularity.Existing fault diagnosis methods based on deep learning can only distinguish different PMSM faults and cannot interpret and analyze them.Convolutional neural networks(CNN)show remarkable accuracy in image data analysis.However,due to the“black box”problem in deep learning models,the diagnostic results regarding providing accurate information to the user are uncertain.This paper proposes a motor fault diagnosis method based on improved deep residual network(ResNet)and gradient-weighted class activation mapping(Grad-CAM)to analyze demagnetization and eccentricity faults of permanent magnet synchronous motors,and the uncertainty limitation of fault diagnosis based on the convolutional neural network is overcome by the visual interpretation method.The improved ResNet is formed by using ResNet9 as the backbone network,replacing the last convolution layer with a atrous spatial pyramid pooling(ASPP),and adding a multi-scale feature fusion module and attention channel mechanism(CAM).The proposed model not only retains the effective extraction of image features by ResNet9 but also enhances the sensitivity field of the network through the hollow convolution pyramid and realizes the feature fusion of the web on different scales through the multi-scale feature fusion module(MSFFM),further improving the diagnostic accuracy of the network on different types of fault features.The diagnostic effect of the network is verified on the selfmade data set,which mainly includes five states:normal(He),25%demagnetization(De25),50%demagnetization(De50),10%static eccentricity(Se10),and 20%static eccentricity(Se20).The number of pictures in the training set is 6000,and the number in the test set is 1500.The average diagnostic accuracy of the improved ResNet on this dataset is 99.00%,which is 1.04%,8.89%,4.58%,and 7.22%higher than that of the multi-column convolutional neural network(MCNN),Bi-directional long short-term memory(Bi-LSTM),deep belief network(DBN),and recurrent neural network(RNN)models,respectively.Finally,gradient activation heat maps were used to globally average pool the final output feature map of the network to obtain feature weights.They were superimposed with the original image to get gradient activation heat maps of different grayscale images.The warmer the tone of the heat map,the greater the impact on the network diagnosis results,and then the demagnetization and eccentricity fault characteristics of the permanent magnet synchronous motor were determined-visual characterization of quantitative analysis.
