Abstract
An accelerated degradation test has been widely used to analyze the useful lifetime of high-power white light-emitting diodes (HPWLEDs). A two-stage method is proposed to predict the useful lifetime of HPWLEDs. In the first stage, an exponential model first fits the degradation data. In the second stage, a response model based on an inverse power (exponential) law under different stresses is derived for predicting the useful lifetime under normal operating conditions. To improve the fitting accuracy for the degradation data, we consider the grey model. The useful lifetimes based on the exponential and grey models using the two-stage method are obtained as 192,317 and 184,538 h, respectively.
Similar content being viewed by others
References
Chang, M.H., Das, D., Varde, P.V., Pecht, M.: Light emitting diodes reliability review. Microelectron. Reliab. 52(5), 762–782 (2012)
De Oliveira, V.R.B., Colosimo, E.A.: Comparison of methods to estimate the time-to-failure distribution in degradation tests. Qual. Reliab. Eng. Int. 20(24), 363–373 (2004)
Deng, J.L.: Grey system fundamental method. Huazhong University of Science and Technology, Wuhan (1982)
Deng, J.L.: Introduction to grey system theory. J. Grey Syst. 1(1), 1–24 (1989)
Deshayes Y, Verdier F, Bechou L, Tregon B, Danto Y, Laffitte D, Goudard JL (2004) Estimation of lifetime distributions on 1550-nm DFB laser diodes using Monte-Carlo statistic computations. In: Proceedings of photonics Europe. International Society for Optics and Photonics, pp 103–115
Evans DL (1997) High-luminance LEDs replace incandescent lamps in new applications. In: Proceedings of photonics West’97. International Society for Optics and Photonics, pp 142–153
Fan, J., Yung, K.C., Pecht, M.: Lifetime estimation of high-power white LED using degradation-data-driven method. IEEE Trans. Dev. Mater. Reliab. 12(2), 470–477 (2012)
Fukuda, M.: Reliability and degradation of semiconductor lasers and LEDs. Artech House, Boston (1991)
Garcia, R.C., Contreras, J., Van Akkeren, M., Garcia, J.B.C.: A GARCH forecasting model to predict day-ahead electricity prices. IEEE Trans. Power Syst. 20(2), 867–874 (2005)
Hsu, L.C.: Forecasting the output of integrated circuit industry using genetic algorithm based multivariable grey optimization models. Expert Syst. Appl. 36(4), 7898–7903 (2009)
Huang, M.J., Huang, H.S., Chen, M.Y.: Constructing a personalized e-learning system based on genetic algorithm and case-based reasoning approach. Expert Syst. Appl. 33(3), 551–564 (2007)
Kennedy J, Eberhart R (1995) Particle swarm optimization, IEEE international of first conference on neural networks
Krames, M.R., Shchekin, O.B., Mueller-Mach, R., Mueller, G.O., Zhou, L., Harbers, G., Craford, M.G.: Status and future of high-power light-emitting diodes for solid-state lighting. J. Disp. Technol. 3(2), 160–175 (2007)
Li, D.H.W., Tsang, E.K.W., Edmonds, I.R.: Performance of light redirection systems in model buildings under typical sky and building obstruction conditions encountered in Hong Kong. Indoor Built Environ. 20(6), 638–648 (2011)
Liu, S., Lin, Y.: Grey information: theory and practical applications. Springer-Verlag, London (2006)
Luxeon, PHILPS (2012) Assembly and handling information AB56
Mao, M., Chirwa, E.C.: Application of grey model GM(1,1) to vehicle fatality risk estimation. Technol. Forecast Soc. Change 73(5), 588–605 (2006)
Meeker, W.Q., Escobar, L.A.: Statistical methods for reliability data, pp. 316–340. Wiley, New York (1998)
Mendizabal, L., Bechou, L., Deshayes, Y., Verdier, F., Danto, Y., Laffitte, D., Goudard, J.: Study of influence of failure modes on lifetime distribution prediction of 1.55 µm DFB laser diodes using weak drift of monitored parameters during ageing tests. Microelectron. Reliab. 44(1), 1337–1342 (2004)
Narendran, N., Bullough, J.D., Maliyagoda, N., Bierman, A.: What is useful life for white light LEDs? J. Illum. Eng. Soc. 30(1), 57–67 (2001)
Narendran, N., Gu, Y., Freyssinier, J.P., Yu, H., Deng, L.: Solid-state lighting: failure analysis of white LEDs. J. Cryst. Growth 268(3), 449–456 (2004)
Nikulin, M.S., Limnios, N., Balakrishnan, N., Kahle, W., Huber-Carol, C.: Advances in degradation modeling: applications to reliability, survival analysis, and finance. Birkhäuser Basel, Boston (2010)
Pan, R., Crispin, T.: A hierarchical modeling approach to accelerated degradation testing data analysis: a case study. Qual. Reliab. Eng. Int. 27(2), 229–237 (2011)
Pankratz, A.: Forecasting with dynamic regression models. Wiley, New York (2012)
R Development Core Team: R (2014) A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna
Schubert, E.F., Kim, J.K.: Solid-state light sources getting smart. Science 308(5726), 1274–1278 (2005)
Schubert, E.F., Kim, J.K., Luo, H., Xi, J.Q.: Solid-state lighting-a benevolent technology. Rep. Prog. Phys. 69(12), 3069–3099 (2006)
Shen, H., Pan, J., Feng, H.: Accelerated life test for high-power white LED based on spectroradiometric measurement. Proc. SPIE 6841, Solid State Light. Sol. Energy Technol., 684104-1–684104-9 (2007)
Steigerwald, D.A., Bhat, J.C., Collins, D., Fletcher, R.M., Holcomb, M.O., Ludowise, M.J., Martin, P.S., Rudaz, S.L.: Illumination with solid state lighting technology. IEEE J. Sel. Top. Quantum Electron. 8(2), 310–320 (2002)
Vittori R, Scaburri A (2009) New solid state technologies and light emission diodes as a mean of control and lighting source applicable to explosion proof equipment, with the scope to reduce maintenance, to limit the risk of bad maintenance and to expand the plants’ life. In: Proceedings of PCIC, pp 193–198
Wang, Y.F.: Predicting stock price using fuzzy grey prediction system. Expert Syst. Appl. 22(1), 33–39 (2002)
Wang, F.K., Chu, T.P.: Lifetime predictions of LED-based light bars by accelerated degradation test. Microelectron. Reliab. 52(7), 1332–1336 (2012)
Wang, F.K., Du, T.: Implementing support vector regression with differential evolution to forecast motherboard shipments. Expert Syst. Appl. 41(8), 3850–3855 (2014)
Wong, C.C., Chen, C.C.: Gain scheduling of grey prediction fuzzy control systems. Int. J. Fuzzy Syst. 2(3), 198–204 (2000)
Xu, Q.Y., Wen, Y.H.: The application of grey model on the forecast of passenger of international air transportation. Transp. Plan. J. 26(3), 525–555 (1997)
Yun, G.Y., Hwang, T., Kim, J.T.: Performance prediction by modelling of a light-pipe system used under the climate conditions of Korea. Indoor Built Environ 19(1), 137–144 (2010)
Yun, G.Y., Kong, H.J., Kim, J.T.: A field survey of visual comfort and lighting energy consumption in open plan offices. Energy Build. 46, 146–151 (2012)
Zhang, J., Liu, F., Liu, Y., Wu, H., Zhu, W., Wu, W., Wu, L.: Life prediction for white OLED based on LSM under lognormal distribution. Solid State Electron. 75, 102–106 (2012)
Zhang, G.P.: Time series forecasting using a hybrid ARIMA and neural network model. Neurocomputing 50, 159–175 (2003)
Acknowledgments
The authors thank reviewer’s comments for improving the presentation. The authors also are grateful for financial support from the Ministry of Science and Technology in Taiwan under the Grant NSC-101-2221-E011-050-MY3.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Wang, FK., Lu, YC. & Chu, TP. Applying grey model to predict the useful lifetime for high-power white LEDs. Opt Quant Electron 48, 67 (2016). https://doi.org/10.1007/s11082-015-0265-4
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11082-015-0265-4