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Formal Reliability Analysis of Protective Relays in Power Distribution Systems

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Formal Methods for Industrial Critical Systems (FMICS 2013)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 8187))

Abstract

Relays are widely used in power distribution systems to isolate their faulty components and thus avoid disruption of power and damaging expensive equipment. The reliability of relay-based protection of power distribution systems is of utmost importance and is judged by first constructing Markovian models of individual modules and then analyzing these models analytically or using simulation. However, due to their inherent limitations, simulations and analytical methods cannot ascertain accurate results and are not scalable, respectively. To overcome these limitations, we propose a modular approach for developing Markovian models of relay-based protected components and then analyzing the reliability of the overall power distribution system by executing its individual modules in parallel using the PRISM probabilistic model checker. The paper presents a foundational model for a relay-based protected component that can be incrementally updated to represent more advanced behaviors, such as self-checking, routine test and continuous monitoring. Moreover, the paper provides a set of reliability assessment properties of power distribution systems that can be formally verified by PRISM. For illustration purposes, we present the analysis of a typical power distribution substation.

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References

  1. Abbarin, A., Fotuhi-Firuzabad, M.: A novel routine test schedule for protective systems using an extended component-based reliability model. In: International Conference on Electrical and Electronics Engineering, pp. 97–102 (2009)

    Google Scholar 

  2. Abrial, J.R.: Faultless systems: Yes we can! Computer 42(9), 30–36 (2009)

    Article  Google Scholar 

  3. Anderson, P., Agarwal, S.: An improved model for protective-system reliability. IEEE Transactions on Reliability 41(3), 422–426 (1992)

    Article  Google Scholar 

  4. Bakshi, A.S., Velayutham, A., Sirivastava, S.C., Agrawal, K.K.: Report of the enquiry committee on grid disturbance in northern region on 30th july 2012 and in northern, eastern & north-eastern region on 31st July. Tech. rep., Ministry of Power Government of India (2012)

    Google Scholar 

  5. Billinton, R., Allan, R.N.: Reliability Evaluation of Power Systems. Plenum, New York (1996)

    Book  Google Scholar 

  6. Brown, R.: Electric Power Distribution Reliability. CRC Press (2008)

    Google Scholar 

  7. Damchi, Y., Sadeh, J.: Considering failure probability for back-up relay in determination of the optimum routine test interval in protective system using markov model. In: IEEE Power Energy Society General Meeting, pp. 1–5 (2009)

    Google Scholar 

  8. Udren, E.A., Zipp, J.A., Michel, G.L., Mustaphi, K.K., Nilsson, S.L., Phadke, A.G., Ramaswami, R., Rockefeller, G.D., Sachdev, M.S., Strang, W.M., Thorp, J.S., Tziouvaras, D.A., Varneckas, V., Wagner, C.L.: Proposed statistical performance measures for microprocessor-based transmission-line protective relays. i. explanation of the statistics. IEEE Transactions on Power Delivery 12(1), 134–143 (1997)

    Google Scholar 

  9. Endrenyi, J.: Three-state models in power system reliability evaluations. IEEE Transactions on Power Apparatus and Systems 90(4), 1909–1916 (1971)

    Article  Google Scholar 

  10. Etemadi, A., Fotuhi-Firuzabad, M.: New considerations in modern protection system quantitative reliability assessment. IEEE Transactions on Power Delivery 25(4), 2213–2222 (2010)

    Article  Google Scholar 

  11. Euronews (2013), http://www.euronews.com/2005/05/25/moscow-hit-by-power-blackout/

  12. Force, U.C.P.S.O.T.: Final report on the 14th august 2003 blackout in the United States and Canada: Causes and recommendations. Tech. rep., U.S. Department of Energy and Natural Resources Canada (2003)

    Google Scholar 

  13. Maas, G.A., Mial, M., Fijalkowski, J.: Final report-system disturbance on 4 november 2006. Tech. rep., Union for the Co-ordination of Transmission of Electricity (2006)

    Google Scholar 

  14. Grimes, J.: On determining the reliability of protective relay systems. IEEE Transactions on Reliability 19(3), 82–85 (1970)

    Article  Google Scholar 

  15. Hermanns, H., Katoen, J., Meyer-Kayser, J., Siegle, M.: Model checking performability properties of markov chains. In: International Conference on Dependable Systems and Networks, pp. 673–673 (2003)

    Google Scholar 

  16. Seyedi, H., Fotuhi-Firuzabad, M., Sanaye-Pasand, M.: An extended markov model to determine the reliability of protective system. In: IEEE Power India Conference, pp. 10–12 (2006)

    Google Scholar 

  17. Katoen, J., Khattri, M., Zapreev, I.: A markov reward model checker. In: International Conference on the Quantitative Evaluation of Systems, pp. 243–244 (2005)

    Google Scholar 

  18. Rutten, J., Kwiatkowska, M., Norman, G., Parker, D.: Mathematical techniques for analyzing concurrent and probabilistic systems. American Mathematical Society (2004)

    Google Scholar 

  19. Sen, K., Viswanathan, M., Agha, G.: Vesta: A statistical model-checker and analyzer for probabilistic systems. In: International Conference on the Quantitative Evaluation of Systems, pp. 251–252 (2005)

    Google Scholar 

  20. Kwiatkowska, M., Norman, G., Parker, D.: PRISM 4.0: Verification of probabilistic real-time systems. In: Gopalakrishnan, G., Qadeer, S. (eds.) CAV 2011. LNCS, vol. 6806, pp. 585–591. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  21. Paithankar, Y., Bhide, S.: Fundamentals of Power System Protection. Prentice-Hall (2003)

    Google Scholar 

  22. Billinton, R., Fotuhi-Firuzabad, M., Sidhu, T.: Determination of the optimum routine test and self-checking intervals in protective relaying using a reliability model. IEEE Transactions on Power Systems 17(3), 663–669 (2002)

    Article  Google Scholar 

  23. Singh, C., Patton, A.D.: Protection system reliability modeling: Unreadiness probability and mean duration of undetected faults. IEEE Transactions on Reliability 29(4), 339–340 (1980)

    Article  Google Scholar 

  24. United States Department of Agriculture: Design Guide for rural substations (2001)

    Google Scholar 

  25. Younes, H.L.S.: Ymer: A statistical model checker. In: Etessami, K., Rajamani, S.K. (eds.) CAV 2005. LNCS, vol. 3576, pp. 429–433. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

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Khurram, A., Ali, H., Tariq, A., Hasan, O. (2013). Formal Reliability Analysis of Protective Relays in Power Distribution Systems. In: Pecheur, C., Dierkes, M. (eds) Formal Methods for Industrial Critical Systems. FMICS 2013. Lecture Notes in Computer Science, vol 8187. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41010-9_12

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  • DOI: https://doi.org/10.1007/978-3-642-41010-9_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-41009-3

  • Online ISBN: 978-3-642-41010-9

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