This work is supported by the National Natural Science Foundation of China grants 41674166, 41531072, 41774194, and 41804171 and Scientific Research Fund of Hunan Provincial Education Department under Grant 16K003. All the Van Allen Probes data are publicly available at the EMFISIS website (https://emfisis.physics.uiowa.edu/ data/index) by the EMFISIS instrument and at the RBSp website (http://www.rbsp-ect.lanl.gov/data_pub/) by the HOPE instrument.