Methodological Support for Applying the Method of Majority Reservation in Measuring Channels

Introduction. For hazardous industries, the reliability of information and measuring equipment must ensure an almost complete absence of failure events, with their probability as low as 10-6. This requirement can be satisfied using various approaches, one of which is reservation. Reservation methods are classified into several types depending on such factors, as the operating mode of an object, failure types, frequency rate, etc. Majority redundancy schemes are rarely used in measuring equipment, particularly in measuring channels, largely because this method was initially aimed at improving the reliability of discrete digital devices. Thus far, no mathematical support for applying the method of majority reservation in measuring channels of analogue values has been developed. This gap determined the relevance of this study.

Aim. To develop a methodological support for applying the method of majority reservation with the purpose of improving the level of measurement accuracy.

Materials and methods. Both Russian and foreign sources published over the past 40 years on the topic of processing small samples when designing measuring channels for information and measuring systems were reviewed. The nonparametric Mann-Whitney rank test was applied to process small samples. Other research methods included mathematical modelling, as well as the mathematical apparatus of measurement theory andтsystems theory.

Results. A measuring module with a redundant structure was simulated. Parametric and nonparametric rank criteria were considered. An algorithm allowing identification of the failure of a channel in a measuring module with a redundant structure was developed. The computational complexity of the developed algorithm is estimated by a polynomial of the second degree.

Conclusion. The use of nonparametric rank criteria for processing small samples, as well as diagnostic situations for various combinations of these criteria, supports statistically grounded decision on the state of measuring channels. In the future, this method will be applied for diagnostic control of the serviceability of technological equipment used in fuel combustion, namely in boiler plants and installations for thermal waste destruction.

1. Iyudu K. A. Reliability, control and diagnostics of computing machines and systems. M., Higher School of Economics, 1989, p. 216. (In Russ.)

2. Kutdusov F. Kh., Rublev T. A. Adaptivnyi mazhoritarnyi element v sistemakh avtomaticheskogo upravleniya Available at: https://cyberleninka.ru/article/n/adaptivnyy-mazhoritarnyy-element-v-sistemah-avtomaticheskogo-upravleniya (accessed 10.12.2019) (In Russ.)

3. Opredelenie otkaza, klassifikacija otkazov. Available at: https://helpiks.org/1-24348.html (accessed 12.12.2019) (In Russ.)

4. Lorczak P. R., Caglayan A. K., Eckhardt D. E. A Theoretical Investigation of Generalized Voters for Redundant Systems. Proc. 19th FTCS, Chicago, Illinois, June 1989, pp. 444-451.

5. Starichenko B. E. Obrabotka i predstavlenie dannykh pedagogicheskikh issledovanii s pomoshch'yu komp'yutera [Processing and presentation of pedagogical research data using a computer]. Ekaterinburg, Ural. GU, 2004, p. 214. (In Russ.)

6. Korolev P. G. Analysis of the development of railway track defects. Izv. SPbGETU "LETI". 2018, no. 9, pp. 93-98. (In Russ.)

7. Korolev P. G., Kostyrya V. A., Kuk S. A., Mikus O. A. Railroad track damages assessment. Test research. XXI Mezhdunar. conf. po myagkim vychisleniyam i izmereniyam. SCM’2018. SPb, 23–25 may 2018. pp. 85–88.

8. Korolev P. G., Larionov D. Yu., Rzieva M. T., Shilov M. N. Experimental studies of the dynamic track monitoring system. Izv. SPbGETU "LETI". 2014, no. 10, pp. 50-54. (In Russ.)

9. Lemeshko B. Yu. Testing hypotheses about mathmatical expectations and variances in problems of Metrology and quality control under probabilistic laws that differ from the normal one. Metrologiya [Metrology]. 2004, no. 3, pp. 3-15. (In Russ.)

10. Alekseev V. V., Korolev P. G., Utushkina A. V. Test materials verification and students’ examination. Vest. TGTU. [Bulletin of TSTU.]. 2013, vol. 19, no. 4, pp. 890-896. (In Russ.)

11. Siegel S. A nonparametric sum of ranks procedure for relative spread in unpaired samples. J. Amer. Statist. Assoc. 1960, vol. 55, pp. 429-455.

12. Boronakhin A. M., Podgornaya L. N., Bokkhman E. D., Filipenya N. S., Filatov Yu. V., Shalimov R. B., Larionov D. Yu. MEMS_Based Inertial System for Railway Track Diagnostics. SPb, Giroskopiya i Navigatsiya [Gyroscopy and Navigation], 2011, vol. 2, no. 4, pp. 261–268. (In Russ.)

13. Alekseev V. V., Korolev P. G., Konovalova V. S., Kalyakin I. V., Perkova A. G. Diagnostic features identification algorithm according to vibration parameters of a compressor installation. Izv. SPbGETU "LETI". 2015, vol. 2, pp. 162-167. (In Russ.)