## 3 Simulations
### Data Description  
This paper uses solar wind speed data observed by different three satellites: ACE, STEREO-A, and STEREO-B. The solar wind data observed by STEREO-A and STEREO-B are obtained from the Coordinated Data Analysis Web (CDAWeb) [29] in the National Space Science Data Center (NSSDC) of the National Aeronautics and Space Administration/Goddard Space Flight Center (NASA/GSFC). The solar wind data observed by the Advanced Composition Explorer (ACE) satellite are obtained from the OMNI-2 database [30] in the National Space Science Data Center (NSSDC) of the National Aeronautics and Space Administration/Goddard Space Flight Center (NASA/GSFC). The electron flux data observed by the GOES-10 satellite are obtained from the National Geophysical Data Center (NGDC) and the National Oceanic and Atmospheric Administration (NOAA/NGDC) [28].  
This paper obtained all data during the period from 2 March 2007 to 7 December 2009, approximately two years in total. The period of the training data set is from 2 March 2007 to 14 December 2007. The training data set is used to generate profiles among the sensors that are parameters for the SVM. For each sensor, the total number of the training sequences is 4457, that are generated from the actual observed data. This paper excludes the missing data from the training data set. This paper defines the missing data if the missing exceeds three hours. The other missing data, is less than or equal three hours, are compensated with a spline interpolation.  
The total number of the training sequences for the sensor faults is 6950, which involves the data for the fault of the single sensor between two sensors. This paper replaced the actual data with abnormal data. Because the abnormal data corresponding to the sensor failure is not involved in the observations. The abnormal data is needed to be generated artificially by hand. The abnormal data represents faulted status of the sensors generated by averaged values of observations and their standard deviations. The range of the abnormal data is from 0.0 to absolute values discounted by 0.1 of the minimum observed value. The abnormal data is randomly generated with a uniform distribution and replaced the normal data with their values in a generation of the test data sequences.  
Figure 9 shows the time development of the observed data for five days from 1 May 2008 at 00:00:00 UTC. In Figure 9, the solar wind speed of ACE is about 500 km/s for 60 h from the beginning of the plot. The solar wind speed of ACE rapidly increased from about 500 km/s to 600 km/s. The solar wind speed of STEREO-A is about 400 km/s for 30 h from the beginning of the plot. After that, the solar wind speed of STEREO-A also rapidly increases, then it keeps the speed about 500 km/s. The solar wind speed of STEREO-B also increases to about 600 km/s after 10 h from the beginning of the time development. The high-energy electron flux at the geostationary orbit of GOES-10 keeps at the quiet level because the flux level is less than 4. In Figure 9, the daily variations of the high-energy electron flux are also observed. The flux level varies from 1 to approximately 4.  
The test data for the simulation consists of values observed by four sensors. For the test, sensor fault data is artificially created by hand. The sensor data actually observed is shown a solid line in Figure 9. In the case studies, the sensors for the solar wind speed of ACE and STEREO-A satellites are faulted in the data at 48 from the beginning in the test sequence shown as a dashed line in Figure 9.