Abstract
This paper compares two alternative probabilistic techniques for the adequacy assessment of small isolated wind/diesel systems. These approaches are the analytical convolution method and the sequential Monte Carlo simulation. The results obtained from these techniques are illustrated by a series of comparative studies. The main purpose of the paper is to investigate the accuracy of the analytical technique assuming that the sequential Monte Carlo simulation method would provide the most precise results. The results show that there is no significant difference between the outcomes of the two techniques. The paper also shows that a multi-state wind energy conversion system model can be used to produce reasonably accurate results in small isolated wind/diesel system adequacy studies.


Similar content being viewed by others
References
Abouzahr I, Ramakumar R (1990) Loss of power supply probability of stand-alone wind electric conversion systems: a closed form solution approach. IEEE Trans Energy Convers 5(3):445–451
Allan RN, Billinton R, Breipohl AM, Grigg CH (1994) Bibliography on the application of probability methods in power system reliability evaluation: 1987–1991. IEEE Trans Power Syst 9(4):275–282
Allan RN, Billinton R, Breipohl AM, Grigg CH (1999) Bibliography on the application of probability methods in power system reliability evaluation: 1992–1996. IEEE Trans Power Syst 14(1):51–57
Allen R, Billinton R, Shahidehpour SM, Singh C (1988) Bibliography on the application of probability methods in power system reliability evaluation: 1982–1987. IEEE Trans Power Appar Syst 3(4):1555–1564
Bagen B, Billinton R (2005a) Incorporating well-being considerations in generating systems using energy storage. IEEE Trans Energy Convers 20(1):225–230
Bagen B, Billinton R (2005b) Evaluation of different operating strategies in small stand-alone power systems. IEEE Trans Energy Convers 20(3):654–660
Billinton R, Allan R (1996) Reliability evaluation of power systems, 2nd edn. Plenum Press, New York
Billinton R, Bagen B (2004) Incorporating reliability index distributions in small isolated generating system reliability performance assessment. IEE Proc Gener, Transm Distrib 151(4):469–476
Billinton R, Gao Y (2008) Multistate wind energy conversion system models for adequacy assessment of generating systems incorporating wind energy. IEEE Trans Energy Convers 23:163–170
Billinton R, Harrington PG (1978) Reliability evaluation in energy limited generating capacity studies. IEEE Trans Power Appar Syst PAS-97:2076–2086
Billinton R, Karki R (2001) Reliability/cost implications of PV and wind energy utilization in small isolated power systems. IEEE Trans Energy Convers 16(4):368–373
Billinton R, Li WY (1994) Reliability assessment of electrical power systems using Monte Carlo method. Plenum Press, New York
Billinton R, Chen H, Ghajar R (1996) Time-series models for reliability evaluation of power systems including wind energy. Microelectron Reliab 36(9):1253–1261
Billinton R, Fotuhi-Firuzabad M, Bertling L (2001) Bibliography on the application of probability methods in power system reliability evaluation: 1996–1999. IEEE Trans Power Syst 16(4):595–602
Billinton R, Bagen B, Cui Y (2003) Reliability evaluation of small stand-alone wind energy conversion systems using a time series simulation model. IEE Proc Gener, Transm Distrib 150:96–100
Giorsetto P, Utsurogi KF (1983) Development of a new procedure for reliability modeling of wind turbine generators. IEEE Trans Power Appar Syst PAS-102(1):134–143
IEEE Committee Report (1989) A reliability test system. IEEE Trans Power Appar Syst 4(3):1238–1244
Karaki SH, Chedid RB, Ramadan R (1999) Probabilistic performance assessment of wind energy conversion systems. IEEE Trans Energy Convers 14(2):217–224
World Wind Energy Report (2009) http://www.wwindea.org/home/images/stories/worldwindenergyreport2009_s.pdf
Acknowledgments
The work presented in this paper is supported by the National Natural Science Foundation of China (Project # 50967002).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Bagen, B., Gao, Y. & Li, W.Y. Comparison of alternative probabilistic techniques for adequacy assessment of small isolated wind/diesel systems. Int J Syst Assur Eng Manag 1, 129–134 (2010). https://doi.org/10.1007/s13198-010-0021-x
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s13198-010-0021-x