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ISSN 2083-6473
ISSN 2083-6481 (electronic version)
 

 

 

Editor-in-Chief

Associate Editor
Prof. Tomasz Neumann
 

Published by
TransNav, Faculty of Navigation
Gdynia Maritime University
3, John Paul II Avenue
81-345 Gdynia, POLAND
www http://www.transnav.eu
e-mail transnav@am.gdynia.pl
Use of a Least Squares with Conditional Equations Method in Positioning a Tramway Track in the Gdansk Agglomeration
1 Gdynia Maritime University, Gdynia, Poland
2 University of Warmia and Mazury in Olsztyn, Olsztyn, Poland
3 Gdańsk University of Technology, Gdańsk, Poland
ABSTRACT: Satellite measurement techniques have been used for many years in different types of human activity, including work related to staking out and making use of rail infrastructure. First and foremost, satellite techniques are applied to determine the tramway track course and to analyse the changes of its position during its operation. This paper proposes using the least squares with conditional equations method, known in geodesy (LSce). When applied, this method will allow for improvement of the final determination accuracy. This paper presents a simplified solution to the LSce alignment problem. The simplification involves replacement of the parameter binding equations with equivalent observational equations with properly selected weights. The results obtained with such a solution were demonstrated with a randomly selected section of a tramway track in Gdańsk. The article presents the theoretical foundations of the test method, the experiment organisation and the results obtained with MathCad Prime 3.0 software. It also presents the outcome of a study associated with the execution of the project No POIR.04.01.01-00-0017/17 entitled “Developing an innovative method of precision determination of a rail vehicle trajectory” executed by a consortium of the Gdańsk University of Technology and Gdynia Maritime University.
REFERENCES
ACIL Allen Consulting, 2013, Precise positioning services in the rail sector, pdf file available at: http://www.ignss.org/LinkClick.aspx?fileticket=rpl6BIao%2F54%3D&tabid=56, Australia
Bakula M., Kazmierczak R. 2017. Technology of Rapid and Ultrarapid Static GPS/GLONASS Surveying in Urban Environments, pp. 336-342. doi. 10.1109/BGC.Geomatics.2017.51. Poland - doi:10.1109/BGC.Geomatics.2017.51
Betts K.M., Mitchell T.J., Reed D.L., Sloat S., Stranghoener D.P., Wetherbee J.D., 2014, Development and Operational Testing of a Sub-Meter Positive Train Location System, Proceedings of the 2014 IEEE/ION Position, Location and Navigation Symposium (PLANS 2014), pp. 452-461, USA - doi:10.1109/PLANS.2014.6851403
Bialy, J., Cwiklak, J., Grzegorzewski, M., Oszczak, S., Ciecko, A., Koscielniak, 2011, Aircraft Landing System Utilizing a GPS Receiver with Position Prediction Functionality, [in:] Weintrit A. (ed): Methods and Algorithms in Navigation. Marine Navigation and Safety of Sea Transportation, Leiden, CRC Press, Balkema Book, 2011, pp. 207-216. - doi:10.1201/b11344-33
Chen, Q.; Niu, X.; Zhang, Q.; Cheng, Y. (2015) Railway track irregularity measuring by GNSS/INS integration. Navigation – Journal ION vol.62, issue 1, pp. 83–93., USA - doi:10.1002/navi.78
Chen, Q., Niu, X., Zuo, L., Zhang, T., Xiao, F., Liu, Y., Liu, J. (2018) A Railway Track Geometry Measuring Trolley System Based on Aided INS. Sensors. 18(2), 538, doi: 10.3390/s18020538., Switzerland - doi:10.3390/s18020538
Czaplewski K. 2018 Does Poland Need eLoran?. In: Mikulski J. (eds) Management Perspective for Transport Telematics. TST 2018. Communications in Computer and Information Science, vol. 897, pp. 525-544, Springer, Switzerland - doi:10.1007/978-3-319-97955-7_35
Czaplewski K., Waz M., 2017, Improvement in Accuracy of Determining a Vessel’s Position with the Use of Neural Networks Ana Robust M-Estimation, Polish Maritime research, vol. 24, issue 1, pp. 22-31, https://doi.org/10.1515/pomr-2017-0003, Poland - doi:10.1515/pomr-2017-0003
Filip A., Mocek H., Bazant L., Taufer J., Maixner V., 2001, Architecture of GNSS Aided Signalling: Analysis and Experiments, Proceedings of the World Congress on Railway Research (WCRR 2001), pp. 1-5., Germany
Gikas, V., Daskalakis, S. (2008) Determining Rail Track Axis Geometry Using Satellite and Terrestrial Geodetic Data. Survey Review, 40(310), 392-405., United Kingdom - doi:10.1179/003962608X325448
Koc, W., 2012 Design of Rail-Track Geometric Systems by Satellite Measurement, Journal of Transportation Engineering - ASCE, vol. 138, issue 1, pp. 114-122, doi: 10.1061/(ASCE)TE.1943-5436.0000303, USA - doi:10.1061/(ASCE)TE.1943-5436.0000303
Mertens P., Franckart J.-P., 2003, Low-Cost Signalling on Low-Density Lines, Railway Gazette International. United Kingdom
Specht, C., Koc, W., 2016, Mobile Satellite Measurements in Designing and Exploitation of Rail Roads, Transportation Research Procedia, Volume 14, pp. 625-634. doi: 10.1016/j.trpro.2016.05.310 - doi:10.1016/j.trpro.2016.05.310
Specht C., Koc W., Chrostowski P., Szmaglinski J., 2019, Metrology and Measurement Systems Accuracy Assessment of Mobile Satellite Measurements in Relation to the Geometrical Layout of Rail Tracks, Metrology and Measurement Systems,26(2), pp. 309-321. DOI: 10.24425/mms.2019.128359. - doi:10.24425/mms.2019.128359
Specht, C., Koc, W., Smolarek, L., Grzadziela, A., Szmaglinski, J., Specht, M., 2014, Diagnostics of the Tram Track Shape with the use of the Global Positioning Satellite Systems (GPS/Glonass) Measurements with a 20 Hz Frequency Sampling, Journal of Vibroengineering, Volume 16, Issue 6, pp. 3076-3085, ISSN 1392-8716, China
Specht C., Nowak A., Koc W., Jurkowska A., 2011, Application of the Polish Active Geodetic Network for railway track determination. [in:]: A. Weintrit & T. Neumann (eds), Transport Systems and Processes. Marine Navigation and Safety of Sea Transportation. Leiden, CRC Press, Balkema Book, 2011, pp.77-81. - doi:10.1201/b11347-14
Swierczynski S., Czaplewski K. 2015 M-Estimation as a Tool Supporting a Vessel Traffic Controller in the VTS System, Polish Maritime research, vol. 22, issue 3, pp. 3-13, https://doi.org/10.1515/pomr-2015-0050, Poland - doi:10.1515/pomr-2015-0050
Urbanski J., Morgas W. and Specht C., 2008, Perfecting the Maritime Navigation information services of the European Union, 1st International Conference on Information Technology, pp. 1-4. doi: 10.1109/INFTECH.2008.4621631, Poland - doi:10.1109/INFTECH.2008.4621631
Urech A., Perez Diestro J., Gonzalez O., 2002, GADEROS, a Galileo Demonstrator for Railway Operation System, Proceedings of the Data Systems In Aerospace (DASIA 2002), pp. 1-9., Ireland
Wisniewski Z., 1985, Methods for solving a system of interdependent conditional equations. Geodesy and Cartography, Volume 34, Issue 1, pp. 39-52, Poland
Wisniewski Z., 2013, Zaawansowane metody opracowania obserwacji geodezyjnych z przykładami (in Polish), University of Warma and Mazury, monography, Poland
Wisniewski Z., 2016, Rachunek wyrównawczy w geodezji z przykładami (in Polish), Wydawnictwo UWM, University of Warma and Mazury, academic handbook, Poland
Citation note:
Czaplewski K., Specht C., Dąbrowski P., Specht M., Wiśniewski Z., Koc W., Wilk A., Karwowski K., Chrostowski P., Szmagliński J.: Use of a Least Squares with Conditional Equations Method in Positioning a Tramway Track in the Gdansk Agglomeration. TransNav, the International Journal on Marine Navigation and Safety of Sea Transportation, Vol. 13, No. 4, doi:10.12716/1001.13.04.25, pp. 895-900, 2019

Other publications of authors:

A. Weintrit, R. Wawruch, C. Specht, L. Gucma, Z. Pietrzykowski

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