A New Estimation Method of Parallel Power Transformers Expected Failure Cost
Subject Areas : Renewable energyHadi Shams solari 1 , Behroz Majidi 2 , Majid Moazzami 3
1 - Najafabad Branch, Islamic Azad University, Najafabad, Iran
2 - Najafabad Branch, Islamic Azad University, Najafabad, Iran
3 - Smart Microgrid Research Center- Najafabad Branch, Islamic Azad University, Najafabad, Iran
Keywords: reliability, Power transformers, Poisson Process, Expected Failure Cost, Cost of Risk, Failure Correlation,
Abstract :
Risk level evaluation of power systems and reduction of its related destructive effects costs have been transformed to one of the basic challenges in power industry’s operation and scheduling. In this paper a new method for mathematical modeling of failure correlation of parallel transformers using Poisson process and multi-Gaussian Copula function is presented. In this method, by using computation of selected reliability indices and related costs, a modeling method for estimation of expectation value of failure cost of parallel transformers with failure correlation and also cost of annual risk of power system has been proposed. According to the capability of production of stage-gate process of the system real mode and failure correlation and probability of parallel transformers, sequential Monte Carlo method for calculation of system’s reliability indices and related costs estimation has been employed. Simulation results of the proposed method show that annual increase of failure correlation probability of parallel transformers in power stations, will lead to increase of expectation value of their failure, level and cost of power system’s risk.
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_||_[1] L. Wenyuan, "Risk assessment of power systems models, methods and applications", Wiley Press, New Jersey, USA. 2005.
[2] L. Wu, M. Shahidehpour, T. Li, "Cost of reliability analysis based on stochastic unit commitment", IEEE Trans. on Power System, vol. 23, no. 3, pp. 1364 – 1374, Aug. 2008 (doi: 10.1109/TPWRS.2008.922231).
[3] G. Qiu, C. Xia, H. Zhang, "Estimation of failure cost in life cycle cost of power equipment", Proceeding of the IEEE/APPEEC, pp. 1-4, Wuhan, China, March 2011 (doi: 10.1109/APPEEC.2011.5747691).
[4] Z. Fu-min, M. Li, L. Nian, C. Jin-shan, "Assessment for distribution network planning schemes of urban electric power system", Energy Procedia, vol. 14, pp. 1067-1074, Mar. 2012 (doi: 10.1016/j.egypro.2011.12.1056).
[5] W. Li, E. Vaahedi, Y. Mansour, "Determining number and timing of substation spare transformers using a probabilistic cost analysis approach", IEEE Trans. on Power Delivery, vol. 14, no. 3, pp. 934 – 939, July 1999 (doi: 10.1109/61.772337).
[6] H. Golmakani, M. Pouresmaeeli, "Optimal replacement threshold and inspection interval for condition-based maintenance with variable failure cost", Proceeding of the IEEE/IEEM, pp. 1944-1948, Hong Kong, China, Dec. 2012 (doi: 10.1109/IEEM.2012.6838085).
[7] M Bazrafshan, N Gatsis, "Comprehensive modeling of three-phase distribution systems via the bus admittance matrix", IEEE Trans. on Power Systems, vol. 33, no. 2, pp. 2015-2029, March. 2018 (doi: 10.1109/TPWRS.2017.2728618).
[8] X. Zhou, Z. Liu, Y. Guo, C. Zhao, J. Huang, L. Chen, "Gradient-based multi-area distribution system state estimation", IEEE Trans. on Smart Grid, Early Access 2020 (doi: 10.1109/TSG.2020.3003897).
[9] E. Jalalabadi, A. Rahimi-Kian, ''Real-time risk and cost management of a grid connected micro-grid'', Proceeding of the IEEE/CIRED, pp. 10-13, Stockholm, Sweden, June 2013 (doi: 10.1049/cp.2013.0544).
[10] M. Hormozi, B. Bahmani-Firoozi, T. Niknam, “Bi-level energy management optimization in multi-area smart grids”, Journal of Intelligent Procedures in Electrical Technology, vol. 11, no. 42, pp. 29-40, Summer 2020 (in Persian).
[11] H. S. Solari, B. Majidi, M. Moazzami, “Optimal estimation of Weibull distribution parameters in order to provide preventive-corrective maintenance program for power transformers”, vol. 15, no. 4, pp. 536-544, Dec. 2019.
[12] F. Campelo, L. Batista, R. Takahashi, H. Diniz, E. Carrano,"Multicriteria transformer asset management with maintenance and planning perspectives'', IET Generation, Transmission and Distribution, vol. 10, no. 9, pp. 2087-2097, June 2016 (doi: 10.1049/iet-gtd.2015.1112).
[13] M. Mahdavian, N. Behzadfar, “A review of wind energy conversion system and application of various induction generators”, Journal of Novel Researches on Electrical Power, vol. 8, no. 4, pp. 55-66, Winter 2020 (in Persian).
[14] J. Zhong, W. Li, C. Wang, J. Yu, R. Xu, "Determining optimal inspection intervals in maintenance considering equipment aging failures", IEEE Trans. on Power System, vol. 32, no. 2, pp. 1474 – 1482, March 2017, (doi: 10.1109/TPWRS.2016.2580508).
[15] B. Yang, ''Reliability of parallel connected power transformers with failure correlation and its preventive maintenance'', Proceeding of the IEEE/ICEMS), Hangzhou, China, Oct. 2014 (doi: 10.1109/ICEMS.2014.7013623).
[16] A. Sklar, ''Function’s de repartition a dimensions et leurs marges'', Publications de l’Institut de Statistique de L’Université de Paris, vol. 8, pp. 229-231, 1959.
[17] J. Aghaei, N. Amjady, A. Baharvandi, M. Akbari, ''Generation and transmission expansion planning: MILP–based probabilistic model'', IEEE Trans. on Power System, vol. 29, no. 4, pp. 1592 – 1601, July 2014, (doi: 10.1109/TPWRS.2013.2296352).
[18] B. Taheri, S. Hosseini, H. Askarian-Abyaneh, F. Razavi, “A new inrush current detection method based on current Lissajous figure”, Journal of Intelligent Procedures in Electrical Technology, vol. 10, no. 40, pp. 43-54, Winter 2020 (in Persian).