Abstract
Train length status reflects whether the carriage is uncoupled or thrown away, it directly affects the safety and efficiency of train operations. At present, satellite positioning technology is used within a train length monitoring system. Such a system can ensure positioning accuracy while reducing the need for trackside equipment. For train length monitoring using GNSS technology, multi-constellation can utilize more visible satellites and achieve better spatial geometric distribution. A robust train length calculation method using multi-constellation GNSS moving-baseline positioning resolution is proposed. The time and space coordinate systems of the Global Positioning System (GPS) and BeiDou Navigation Satellite System (BDS) are unified as the foundation to realize multi-constellation positioning. Double-differenced carrier phase measurements are used to mitigate or eliminate the propagation errors and the satellite and receiver clock errors. Then, the moving-baseline length can be estimated using a Kalman filtering algorithm, and the carrier phase ambiguity terms are fixed using an online ambiguity fix algorithm to further improve the system performance. More measurements are utilized in the multi-constellation train length calculation method, the probability of fault measurement would be increased thereafter, and thus, the fault identification and adaptive filtering algorithm is introduced in the multi-constellation train length calculation to reduce the influence of fault measurement on the accuracy of moving-baseline solution and enhance the robustness of the system. To evaluate the performance of the proposed system, an experiment was conducted on the Beijing-Shenyang high-speed railway line. The results obtained on GPS-FLOAT, GPS-FIX, GPS/BDS-FLOAT, and GPS/BDS-FIX modes were compared. Both the FLOAT and FIX solutions can achieve the train length computation with sub-meter level accuracy, which can prove that the system is able to be adapt to the different GNSS signal conditions. The GPS/BDS-FIX solution can achieve train length accuracy with RMS of 0.155 m, which is better than the other three solutions. In addition, the moving-baseline accuracy is further improved after the adaptive filtering algorithm is added to smooth the noise interference, which had the best performance with RMS of 0.077 m compared with the non-adaptive filtering solutions. The superiority of the adaptive filtering algorithm is verified via using the dataset including two types of random fault measurements. It is proved that the random faults can be tolerated using adaptive filtering algorithm. The effectiveness and superiority of proposed robust train monitoring system are confirmed via comparison of results and simulation of different scenes.
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The datasets generated during and/or analyzed during the current study are available from the corresponding author upon reasonable request.
References
Cai L, Zhao L (2010) Instruction of American positive train control system. Railway Signal Commun En 7(03):24–27
Cui J (2019) Research on method of autonomous train integrity detection for next generation train control system. Railway Commun Signal Eng Technol 16(11):10–12
Erhu W, Xuexi L, Jingnan L (2017) Accuracy evaluation and analysis of single point positioning with BeiDou and GPS. Bull Surv Mapp 05:1–5
Guo J (2020) Overview and Application Prospect of Train Integrity Inspection Technology. Railway Commun Signal Eng Technol 17(07):84–87
He R, Ai B, Wang G et al (2016) High-speed railway communications: from GSM-R to LTE-R. IEEE Veh Technol Mag 11(3):49–58
He G, Yue D, Chen J, Dai J (2019) Performance Analysis of BDS/GPS integrated system pseudorange single point positioning under occluded environment. Site Invest Sci Tech 04:19–24
Jia Y (2020) Research on application evaluation of satellite navigation in railway train control system. Railway Signal Commun En 17(02):34–39
Jiang W, Chen S, Cai B, Wang J, ShangGuan W, Rizos C (2018) A multi-sensor positioning method-based train localization system for low density line. IEEE Trans Veh Technol 67(11):10425–10437
Jiang W, Liu Y, Cai B, Rizos C, Wang J, Jiang Y (2020) A new train integrity resolution method based on online carrier phase relative positioning. IEEE Trans Veh Technol 69(10):10519–10530
Lauer M, Stein D (2014) A train localization algorithm for train protection systems of the future. IEEE Trans Intell Transp Syst 16(2):970–979
Lee JY, Kim HS, Choi KH, Lim J, Chun S, Lee HK (2016) Adaptive GPS/INS integration for relative navigation. GPS Solutions 20:63–75
Li Y (2020) BeiDou/GPS combined precise positioning theory and algorithm. Acta Geodaetica Et Cartographica Sinica 49(6):803
Li B, Shen Y, Lou L (2010) Efficient estimation of variance and covariance components: a case study for GPS stochastic model evaluation. IEEE Trans Geosci Remote Sens 49(1):203–210
Li H, Bian F, Li M (2014) Chinese geodetic coordinate system 2000 and its comparison with WGS84. Appl Mech Mater 580:2793–2796
Li S, Cai B, Shangguan W, Schnieder E, Toro FG (2017a) Switching LDS detection for GNSS-based train integrity monitoring system. IET Intel Transport Syst 11(5):299–307
Li S, Cai B, Xu A, Shangguan W, Wen Y, Wang J (2017b) Autonomous-positioning information aided train integrity detection risk analysis method. J Southwest Jiaotong Univ 52(5):886–892
Lin H, Wang L, Wei Y (2019) A Study of the EU Shift2Rail Plan. Foreign Rolling Stock 56(01):11–16
Lu D, Schnieder E (2014) Performance evaluation of GNSS for train localization. IEEE Trans Intell Transp Syst 16(2):1054–1059
Neri A, Rispoli F, Salvatori P, Vegni AM (2014) A train integrity solution based on GNSS double-difference approach. In: ION GNSS 2014, Institute of Navigation, pp 34–50
Ning J, Yao Y, Zhang X (2013) Review of the development of global satellite navigation system. J Navig Position 1(1):3–8
Odolinski R, Teunissen PJG, Odijk D (2015) Combined GPS+ BDS for short to long baseline RTK positioning. Meas Sci Technol 26(4):045801
Oh S, Yoon Y, Kim K, Kim Y (2012) Design of train integrity monitoring system for radio based train control system. In: 2012 12th International Conference on Control, Automation and Systems, pp 1237–1240. IEEE
Scholten H, Westenberg R, Schoemaker M (2009a) Trainspotting, a WSN-based train integrity system. In: 2009 Eighth International Conference on Networks, pp 226–231. IEEE
Scholten H, Westenberg R, Schoemaker M (2009b) Sensing train integrity. In: SENSORS, 2009 IEEE, pp 669–674. IEEE
Serajian R, Mohammadi S, Nasr A (2019) Influence of train length on in-train longitudinal forces during brake application. Veh Syst Dyn 57(2):192–206
Stallo C, Neri A, Salvatori P, Capua R, Rispoli F (2018) GNSS integrity monitoring for rail applications: two-tiers method. IEEE Trans Aerosp Electron Syst 55(4):1850–1863
Yang L, Li Y, Wu Y, Rizos C (2014) An enhanced MEMS-INS/GNSS integrated system with fault detection and exclusion capability for land vehicle navigation in urban areas. GPS Solutions 18:593–603
Zhang H, Yang C, Wang Z (2012) Research on LAMBDA method of satellite navigation position. Electron Des Eng 20(12):64–66
Zhu F, Hu Z, Liu W, Zhang X (2019) Dual-antenna GNSS integrated with MEMS for reliable and continuous attitude determination in challenged environments. IEEE Sens J 19(9):3449–3461
Acknowledgements
This work was supported by the National Key Research and Development Program of China under Grant 2022YFB4300500, National Natural Science Foundation of China under Grant 62027809 Beijing Natural Science Foundation L211004, and National Natural Science Foundation of China under Grant U2268206.
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Wei Jiang and Yongqiang Liu wrote the main manuscript test, Jialei Li prepared the experiment and data analysis, Chris Rizos, Baigen Cai and Jian Wang reviewed the manuscript. All authors have read and agreed to the published version of the manuscript.
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Jiang, W., Liu, Y., Li, J. et al. Robust train length calculation and monitoring method using GNSS multi-constellation moving-baseline positioning resolution. GPS Solut 28, 114 (2024). https://doi.org/10.1007/s10291-024-01658-y
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DOI: https://doi.org/10.1007/s10291-024-01658-y