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Power Distribution System Reliability Evaluation Using Both Analytical Reliability Network Equivalent Technique and Time-sequential Simulation Approach

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Simulation Methods for Reliability and Availability of Complex Systems

Part of the book series: Springer Series in Reliability Engineering ((RELIABILITY))

Abstract

A power system is usually divided into the subsystems of generation, transmission, and distribution facilities according to their functions. The distribution system is the most important part of a power system, which consists of many step-down transformers, distribution feeders, and customers. Therefore to evaluate the reliability of power distribution systems is a very complicated and tedious process. This chapter illustrates a reliability network equivalent technique for complex radial distribution system reliability evaluation. This method avoids the required procedure of finding the failure modes and their effect on the individual load points and results in a significant reduction in computer solution time. A time-sequential simulation technique is also introduced in this chapter. In the simulation technique, the direct search technique is used and overlapping time is considered. The simulation technique evaluates the reliability indices by a series of trials and therefore the procedure is more complicated and requires longer computer time. The simulation approach can provide both the average values and probability distributions of the load point and system indices. It may be practical therefore to use the analytical technique for basic system evaluation and to use the simulation technique when additional information is required.

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References

  1. Allan RN, Billinton R, Lee SH (1984) Bibliography on the application of probability methods in power system reliability evaluation. IEEE Trans PAS 103(2):275–282

    Google Scholar 

  2. Allan RN, Billinton R, Shahidehpour SM, Singh C (1988) Bibliography on the application of probability methods in power system reliability evaluation. IEEE Trans Power Syst 3(4):1555–1564

    Article  Google Scholar 

  3. Allan RN, Billinton R, Breipohl AM, Grigg CH (1994) Bibliography on the application of probability methods in power system reliability evaluation. IEEE Trans Power Syst 9(1):41–49

    Article  Google Scholar 

  4. Allan RN, Bhuiyan MR (1993) Effects of failure and repair process distribution on composite system adequacy indices in sequential Monte Carlo simulation. Proceedings of the joint international IEEE power conference, Power Tech. IEEE, Los Alamitos, CA, USA, pp 622–628

    Google Scholar 

  5. Allan RN, Billinton R, Sjarief I, Goel L et al. (1991) A reliability test system for educational purpose-basic distribution system data and results. IEEE Trans Power Syst 6(2):823–831

    Article  Google Scholar 

  6. Billinton R, Allan RN (1996) Reliability evaluation of power systems, 2nd edn. Plenum Press, New York

    Google Scholar 

  7. Billinton R, Allan RN (1990) Basic power system reliability concepts. Reliab Eng Syst Saf 27:365–384

    Article  Google Scholar 

  8. Billinton R, Allan RN, Salvaderi L (1988) Applied reliability assessment in electric power systems. Institute of Electrical and Electronics Engineers, New York

    Google Scholar 

  9. Billinton R, Wang P (1998) Distribution system reliability cost/worth analysis using analytical and sequential simulation techniques. IEEE Trans Power Syst 13(4):1245–1250

    Article  Google Scholar 

  10. Billinton R, Billinton JE (1989) Distribution system reliability indices. IEEE Trans Power Deliv 4(1):561–568

    Article  Google Scholar 

  11. Billinton R, Wacker G, Wojczynski E (1983) Comprehensive bibliography of electrical service interruption costs. IEEE Trans PAS 102:1831–1837

    Google Scholar 

  12. Billinton R (1972) Bibliography on the application of probability methods in power system reliability evaluation. IEEE Trans PAS 91(2):649–660

    Google Scholar 

  13. Billinton R, Grover MS (1975) Reliability assessment of transmission system and distribution systems. IEEE Trans PAS 94(3):724–732

    Google Scholar 

  14. Billinton R, Grover MS (1975) Quantitative evaluation of permanent outages in distribution systems. IEEE Trans PAS 94(3):733–741

    Google Scholar 

  15. Billinton R, Grover MS (1974) A computerized approach to substation and switching station reliability evaluation. IEEE Trans PAS 93(5):1488–1497

    Google Scholar 

  16. Billinton R, Goel R (1986) An analytical approach to evaluate probability distribution associated with the reliability indices of electrical distribution systems. IEEE Trans Power Deliv 1(3):145–251

    Article  Google Scholar 

  17. Billinton R, Wojczynski E (1985) Distribution variation of distribution system reliability indices. IEEE Trans PAS 104:3152–3160

    Google Scholar 

  18. Billinton R, Wang P (1995) A generalized method for distribution system reliability evaluation. Conference proceedings, IEEE WESCANEX. IEEE, Los Alamitos, CA, USA, pp 349–354

    Google Scholar 

  19. Billinton R, Wang P (1999) Teaching distribution system reliability evaluation using Monte Carlo simulation. IEEE Trans Power Syst 14(2):397–403

    Article  Google Scholar 

  20. Billinton R, Cui L, Pan Z, Wang P (2002) Probability distribution development in distribution system reliability evaluation. Electric Power Compon Syst 30(9):907–916

    Article  Google Scholar 

  21. Billinton R, Wang P (1998) Reliability-network-equivalent approach to distribution system reliability evaluation. IEE Proc Gener Transm Distrib 145(2):149–153

    Article  Google Scholar 

  22. Billinton R, Wang P (1999) Deregulated power system planning using a reliability network equivalent technique. IEE Proc Gener Transm Distrib 146(1):25–30

    Article  Google Scholar 

  23. Billinton R, Allan RN (1984) Reliability evaluation of engineering systems. Plenum Press, New York

    Google Scholar 

  24. Billinton R, Jonnavithula S (1997) A test system for teaching overall power system reliability assessment. IEEE Trans Power Syst 11(4):1670–1676

    Article  Google Scholar 

  25. Brown RE, Hanson AP (2001) Impact of two-stage service restoration on distribution reliability. IEEE Trans Power Syst 16(4):624–629

    Article  Google Scholar 

  26. Ding Y, Wang P, Goel L, Billinton R, Karki R (2007) Reliability assessment of restructured power systems using reliability network equivalent and pseudo-sequential simulation techniques. Electric Power Syst Res 77(12):1665–1671

    Google Scholar 

  27. Durga Rao K, Kushwaha HS, Verma AK, Srividya A (2007) Simulation based reliability evaluation of AC power supply system of Indian nuclear power plant. Int J Qual Reliab Manag 24(6):628–642

    Article  Google Scholar 

  28. Durga Rao K, Gopika V, Rao VVSS et al. (2009) Dynamic fault tree analysis using Monte Carlo simulation in probabilistic safety assessment. Reliab Eng Syst Saf 94(4):872–883

    Article  Google Scholar 

  29. Goel L, Billinton R (1991) Evaluation of interrupted energy assessment rates in distribution systems. IEEE Trans Power Deliv 6(4):1876–1882

    Article  Google Scholar 

  30. Goel L, Ren S, Wang P (2001) Modeling station-originated outages in composite system using state duration sampling simulation approach. Comput Electr Eng 27(2):119–132

    Article  MATH  Google Scholar 

  31. Henley EJ, Hiromitsu K (1981) Reliability engineering and risk assessment. Prentice-Hall, Englewood Cliffs, NJ

    Google Scholar 

  32. IEEE Subcommittee on the Application of Probability Methods. Power System Engineering Committee (1978) Bibliography on the application of probability methods in power system reliability evaluation. IEEE Trans PAS 97(6):2235–2242

    Google Scholar 

  33. Li W, Wang P, Li Z, Liu Y (2004) reliability evaluation of complex radial distribution systems considering restoration sequence and network constraints. IEEE Trans Power Deliv 19(2):753–758

    Article  Google Scholar 

  34. Rubinstein RY (1981) Simulation and Monte Carlo method. Wiley, New York

    Book  MATH  Google Scholar 

  35. Tollefson G, Billinton R, Wacker G (1991) Comprehensive bibliography on reliability worth and electrical service interruption costs. IEEE Trans Power Syst 6(4):1980–1990

    Article  Google Scholar 

  36. Ubeda R, Allan RN (1992) Sequential simulation applied to composite system reliability evaluation. IEE Proc C 139(2):81–86

    Google Scholar 

  37. Wang P, Li W (2007) Reliability evaluation of distribution systems considering optimal restoration sequence and variable restoration times. IET Proc Gener Transm Distrib 1(4):688–695

    Article  Google Scholar 

  38. Wang P, Billinton R (2001) Impacts of station-related failures on distribution system reliability. Electr Mach Power Syst 29:965–975

    Article  Google Scholar 

  39. Wang P, Billinton R (2002) Reliability cost/worth assessment of distribution system incorporating time varying weather conditions and restoration resources. IEEE Trans Power Deliv 17(1):260–265

    Article  Google Scholar 

  40. Wang P, Billinton R (1999) Time-sequential distribution system reliability worth analysis considering time varying load and cost models. IEEE Trans Power Deliv 14(3):1046–1051

    Article  Google Scholar 

  41. Wang P, Billinton R (2001) Time-sequential simulation technique for rural distribution system reliability cost/worth evaluation including wind generation as an alternative supply. IEE Proc Gener Transm Distrib 148(4):355–360

    Article  Google Scholar 

  42. Wang P, Goel L, Billinton R (2000) Evaluation of probability distributions of distribution system reliability indices considering WTG as alternative supply. Electr Mach Power Syst 28:901–913

    Article  Google Scholar 

  43. Zio E, Marella M, Podollini L (2007) A Monte Carlo simulation approach to the availability assessment of multi-state systems with operational dependencies. Reliab Eng Syst Saf 92:871–882

    Article  Google Scholar 

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Wang, P., Goel, L. (2010). Power Distribution System Reliability Evaluation Using Both Analytical Reliability Network Equivalent Technique and Time-sequential Simulation Approach. In: Faulin, J., Juan, A., Martorell, S., Ramírez-Márquez, JE. (eds) Simulation Methods for Reliability and Availability of Complex Systems. Springer Series in Reliability Engineering. Springer, London. https://doi.org/10.1007/978-1-84882-213-9_7

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  • DOI: https://doi.org/10.1007/978-1-84882-213-9_7

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-84882-212-2

  • Online ISBN: 978-1-84882-213-9

  • eBook Packages: EngineeringEngineering (R0)

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