فهرست:
1- مقدمه. 1
1-1- مقدمه. 1
1-2- بیان مسئله. 2
1-3- مروری بر مقالات.. 3
1-4- ساختار پایاننامه. 6
2- عوامل خرابی ترانسفورماتور و روشهای تشخیص آنها. 8
2-1- عوامل خرابی ترانسفورماتور 8
2-1-1- عوامل خرابی از نگاه سیستمی.. 8
2-1-2- عوامل خرابی از نگاه مکان خطا 9
2-2- اجزای ترانسفورماتور و نقش آنها در بروز خطا 10
2-2-1- خطاهای مربوط به تانک... 11
2-2-2- خطاهای مربوط به هسته. 11
2-2-3- خرابی تپچنجر زیر بار 12
2-2-4- خرابی بوشینگ... 12
2-2-5- خرابیهای سیمپیچ.. 12
3- مدلسازی ترانسفورماتور. 17
3-1- تاریخچه مدلسازی ترانسفورماتور 17
3-2- کاربرد مدلهای ترانسفورماتور 18
3-2-1- تحلیل گذرای سیمپیچ.. 18
3-2-2- تحلیل گذرای سیستم.. 18
3-2-3- مکانیابی تخلیه جزیی.. 18
3-2-4- تحلیل پاسخ فرکانسی.. 19
3-3- انواع مدلهای ترانسفورماتور 19
3-3-1- مدل خط انتقال. 20
3-3-2- مدل اندوکتانس نشتی.. 20
3-3-3- مدل مبتنی بر اصل دوگان. 20
3-3-4- مدل میدان الکترومغناطیسی.. 21
3-3-5- مدل مقاومت اندوکتانس و ظرفیت خازنی هندسی (RLC)(متمرکز) 21
3-4- مدل متمرکز الکتریکی.. 21
3-5- محاسبه پارامترهای مداری مدل متمرکز. 23
3-5-1- اندوکتانس 24
3-5-2- مقاوت سیمپیج.. 28
3-5-3- خازن 30
3-5-4- تلفات دی الکتریک... 37
4- پاسخ فرکانسی.. 39
4-1- مقدمه. 39
4-2- تحلیل پاسخ فرکانسی.. 39
4-2-1- ضربه ولتاژ پایین. 40
4-2-2- تحلیل جاروب پاسخ فرکانسی.. 40
4-3- تابع تبدیل.. 41
4-4- آرایشهای مختلف تست پاسخ فرکانسی.. 42
4-4-1- تست نوع اول. 42
4-4-2- تست نوع دوم. 42
4-4-3- تست نوع سوم. 43
4-4-4- تست نوع چهارم. 43
4-5- تحلیل مداری مدل متمرکز. 43
4-5-1- مدل متغیر حالت.. 46
4-5-2- تعیین تابع تبدیل. 47
5- آنالیز خطا. 49
5-1- مقدمه. 49
5-2- پاسخ فرکانسی ترانسفورماتور در حالت سالم.. 49
5-2-1- تست نوع اول برای سیمپیچ فشارقوی. 49
5-2-2- تست نوع سوم. 50
5-3- روش تحلیل اندازهگیریهای FRA.. 51
5-3-1- رنج فرکانسی پایین. 51
5-3-2- رنج فرکانسی متوسط.. 51
5-3-3- رنج فرکانسی بالا. 51
5-4- آنالیز حساسیت.. 52
5-4-1- تغییر فاصله بین دیسکی.. 52
5-4-2- اثر تغییرات شعاع. 54
5-5- اثر عیوب بر نحوه تغییر پاسخ فرکانسی.. 56
5-5-1- تغییرات شعاعی.. 57
5-5-2- خطای جابهجایی محوری. 59
5-5-3- تغییر فضای بین دیسکها 60
5-5-4- خطای اتصال حلقه. 61
5-6- دیاگرام ولتاژ- جریان. 62
6- الگوریتم های طبقه بندی.. 65
6-1- مقدمه. 65
6-2- انتخاب سیستم خبره. 66
6-2-1- شبکههای عصبی.. 66
6-2-2- درخت تصمیم.. 67
6-3- شاخصها 72
6-3-1- شاخصهای آماری. 73
6-3-2- شاخصهای سیگنالی.. 74
6-4- پیادهسازی درخت تصمیم به منظور طبقهبندی خطا در ترانسفورماتور 76
6-4-1- سناریو اول. 77
6-4-2- سناریو دوم 82
7- نتیجهگیری و پیشنهادات.. 88
7-1- نتیجهگیری. 88
7-2- پیشنهادات.. 90
پیوست الف- وابستگی نفوذپذیری مغناطیسی با فرکانس... 91
پیوست ب- محاسبه ظرفیت خازنی سری در سیمپیج دیسکی.. 93
ب- 1: ظرفیت خازنی معادل دور به دور در یک دیسک... 93
ب- 2: ظرفیت خازنی معادل دیسک به دیسک... 93
پیوست ج- تحلیل مداری مدل متمرکز. 95
ج-1- معادله دیفرانسیل برای ظرفیت خازنی.. 95
ج-2- معادله دیفرانسیل برای اندوکتانس... 95
ج-3- محاسبات ولتاژی و جریانی.. 96
ج-4- تعریف ماتریسهای عناصر مداری با توجه به درخت.. 97
پیوست د- آشنایی با عملکرد درخت تصمیم.. 101
پیوست ی- مشخصات فنی ترانسفورماتور. 106
منبع:
[1] A. Singh, "High frequency simulation of transformer windings for diagnostic tests," University of British Columbia, 2006.
[2] M. Wang, A. Vandermaar, and K. Srivastava, "Transformer winding movement monitoring in service-key factors affecting FRA measurements," Electrical Insulation Magazine, IEEE, vol. 20, pp. 5-12, 2004.
[3] P. Picher, J. Lapworth, T. Noonan, and J. Christian, "Mechanical Condition Assessment of Transformer Windings using Frequency Response Analysis," Cigre Report, vol. 342, 2008.
[4] S. Islam, "Detection of shorted turns and winding movements in large power transformers using frequency response analysis," in Power Engineering Society Winter Meeting, 2000. IEEE, 2000, pp. 2233-2238.
[5] E. Rahimpour, J. Christian, K. Feser, and H. Mohseni, "Transfer function method to diagnose axial displacement and radial deformation of transformer windings," Power Delivery, IEEE Transactions on, vol. 18, pp. 493-505, 2003.
[6] V. Behjat, A. Vahedi, A. Setayeshmehr, H. Borsi, and E. Gockenbach, "Diagnosing shorted turns on the windings of power transformers based upon online FRA using capacitive and inductive couplings," Power Delivery, IEEE Transactions on, vol. 26, pp. 2123-2133, 2011.
[7] V. Behjat, A. Vahedi, A. Setayeshmehr, H. Borsi, and E. Gockenbach, "Sweep frequency response analysis for diagnosis of low level short circuit faults on the windings of power transformers: An experimental study," International Journal of Electrical Power & Energy Systems, vol. 42, pp. 78-90, 2012.
[8] E. Bjerkan, "High frequency modeling of power transformers: stresses and diagnostics," Norwegian University of Science and Technology, 2005.
[9] J. Jayasinghe, Z. Wang, P. Jarman, and A. Darwin, "Winding movement in power transformers: a comparison of FRA measurement connection methods," Dielectrics and Electrical Insulation, IEEE Transactions on, vol. 13, pp. 1342-1349, 2006.
[10] K. N. B. Abeywickrama, Y. V. Serdyuk, and S. M. Gubanski, "Exploring possibilities for characterization of power transformer insulation by frequency response analysis (FRA)," Power Delivery, IEEE Transactions on, vol. 21, pp. 1375-1382, 2006.
[11] K. Abeywickrama, A. D. Podoltsev, Y. V. Serdyuk, and S. M. Gubanski, "Computation of parameters of power transformer windings for use in frequency response analysis," Magnetics, IEEE Transactions on, vol. 43, pp. 1983-1990, 2007.
[12] N. Abeywickrama, Y. V. Serdyuk, and S. M. Gubanski, "High-frequency modeling of power transformers for use in frequency response analysis (FRA)," Power Delivery, IEEE Transactions on, vol. 23, pp. 2042-2049, 2008.
[13] N. Joshi, Y. Sood, R. Jarial, and R. Thapliyal, "Transformer Internal Winding Faults Diagnosis Methods: A Review."
[14] Y. Zhang, X. Ding, Y. Liu, and P. Griffin, "An artificial neural network approach to transformer fault diagnosis," Power Delivery, IEEE Transactions on, vol. 11, pp. 1836-1841, 1996.
[15] J. Zhijian, L. Jingtao, and Z. Zishu, "Diagnosis of transformer winding deformation on the basis of artificial neural network," in Properties and Applications of Dielectric Materials, 2000. Proceedings of the 6th International Conference on, 2000, pp. 173-176.
[16] J. Zhao, R. Zheng, and J. Li, "Transformer fault diagnosis based on homotopy BP algorithm," in Electronic Measurement & Instruments, 2009. ICEMI'09. 9th International Conference on, 2009, pp. 4-622-4-626.
[17] K. Meng, Z. Y. Dong, D. H. Wang, and K. P. Wong, "A self-adaptive RBF neural network classifier for transformer fault analysis," Power Systems, IEEE Transactions on, vol. 25, pp. 1350-1360, 2010.
[18] S. Xin and S. Qing, "Fault Diagnosis For Power Network Based on Adaptive Wavelet Kernel Relevance Vector Machine Algorithm," Journal of Information and Computational Science, vol. 8, p. 13, 2011.
[19] S. ZHANG, F. KUANG, Y. WANG, and L. WANG, "A Novel SVM Model with PSO on Power Transformer Fault Diagnosis," Journal of Computational Information Systems, vol. 8, pp. 5973-5982, 2012.
[20] J.-W. Kim, B. Park, S. C. Jeong, S. W. Kim, and P. Park, "Fault diagnosis of a power transformer using an improved frequency-response analysis," Power Delivery, IEEE Transactions on, vol. 20, pp. 169-178, 2005.
[21] D. Xu, C. Fu, and Y. Li, "Application of artificial neural network to the detection of the transformer winding deformation," 1999.
[22] A. Shintemirov, W. Tang, and Q. Wu, "Transformer winding condition assessment using frequency response analysis and evidential reasoning," Electric Power Applications, IET, vol. 4, pp. 198-212, 2010.
[23] M. Florkowski and J. Furgał, "Detection of transformer winding deformations based on the transfer function—measurements and simulations," Measurement Science and Technology, vol. 14, p. 1986, 2003.
[24] H. A. Nabwey, E. Rady, A. Kozae, and A. Ebady, "Fault Diagnosis of Power Transformer Based on Fuzzy Logic, Rough Set theory and Inclusion Degree Theory," A A, vol. 1, p. 6.
[25] S. A. Ryder, "Transformer diagnosis using frequency response analysis: results from fault simulations," in Power Engineering Society Summer Meeting, 2002 IEEE, 2002, pp. 399-404.
[26] A. Abu-Siada, N. Hashemnia, S. Islam, and M. A. Masoum, "Understanding power transformer frequency response analysis signatures," Electrical Insulation Magazine, IEEE, vol. 29, pp. 48-56, 2013.
[27] Z. Wang, J. Li, and D. M. Sofian, "Interpretation of transformer FRA responses—Part I: Influence of winding structure," Power Delivery, IEEE Transactions on, vol. 24, pp. 703-710, 2009.
[28] D. M. Sofian, Z. Wang, and J. Li, "Interpretation of transformer FRA responses—Part II: Influence of transformer structure," Power Delivery, IEEE Transactions on, vol. 25, pp. 2582-2589, 2010.
[29] M. Wang, A. J. Vandermaar, and K. Srivastava, "Improved detection of power transformer winding movement by extending the FRA high frequency range," Power Delivery, IEEE Transactions on, vol. 20, pp. 1930-1938, 2005.
[30] A. S. Boroujeni, G. B. Gharehpetian, and M. Nazari, "A NEW APPROACH TO WINDING DISPLACEMENT DETECTION OF POWER TRANSFORMER USING FRA METHOD AND ELECTRICAL FORCES DISTRIBUTION."
[31] P. Vaessen and E. Hanique, "A new frequency response analysis method for power transformers," Power Delivery, IEEE Transactions on, vol. 7, pp. 384-391, 1992.
[32] E. Rahimpour and S. Tenbohlen, "Experimental and theoretical investigation of disc space variation in real high-voltage windings using transfer function method," Electric Power Applications, IET, vol. 4, pp. 451-461, 2010.
[33] A. Contin, G. Rabach, J. Borghetto, M. Nigris, R. Passaglia, and G. Rizzi, "Frequency-response analysis of power transformers by means of fuzzy tools," Dielectrics and Electrical Insulation, IEEE Transactions on, vol. 18, pp. 900-909, 2011.
[34] M. Hejazi, G. Gharehpetian, G. Moradi, H. Alehosseini, and M. Mohammadi, "Online monitoring of transformer winding axial displacement and its extent using scattering parameters and k-nearest neighbour method," IET generation, transmission & distribution, vol. 5, pp. 824-832, 2011.
[35] S. V. Kulkarni and S. Khaparde, Transformer engineering: design and practice vol. 25: CRC Press, 2004.
[36] M. Babiy, R. Gokaraju, and J. C. Garcia, "Turn-to-turn fault detection in transformers using negative sequence currents," in Electrical Power and Energy Conference (EPEC), 2011 IEEE, 2011, pp. 158-163.
[37] R. Bhide, M. Srinivas, A. Banerjee, and R. Somakumar, "Analysis of winding inter-turn fault in transformer: A review and transformer models," in Sustainable Energy Technologies (ICSET), 2010 IEEE International Conference on, 2010, pp. 1-7.
[38] N. Hashemnia, A. Abu-Siada, M. A. Masoum, and S. M. Islam, "Characterization of transformer FRA signature under various winding faults," in Condition Monitoring and Diagnosis (CMD), 2012 International Conference on, 2012, pp. 446-449.
[39] P. H. Thomas, "Static Strains in High Tension Circuits and the Protection of Apparatus," American Institute of Electrical Engineers, Transactions of the, vol. 19, pp. 213-264, 1902.
[40] L. Blume and A. Boyajian, "Abnormal voltages within transformers," American Institute of Electrical Engineers, Transactions of the, vol. 38, pp. 577-620, 1919.
[41] P. Abetti, "Transformer models for the determination of transient voltages," Power Apparatus and Systems, Part III. Transactions of the American Institute of Electrical Engineers, vol. 72, pp. 468-480, 1953.
[42] D. Wilcox, W. Hurley, and M. Conlon, "Calculation of self and mutual impedances between sections of transformer windings," in Generation, Transmission and Distribution, IEE Proceedings C, 1989, pp. 308-314.
[43] D. Wilcox, W. Hurley, T. McHale, and M. Conlon, "Application of modified modal theory in the modelling of practical transformers," in Generation, Transmission and Distribution, IEE Proceedings C, 1992, pp. 513-520.
[44] S. Hettiwatte, P. Crossley, Z. Wang, A. Darwin, and G. Edwards, "Simulation of a transformer winding for partial discharge propagation studies," in Power Engineering Society Winter Meeting, 2002. IEEE, 2002, pp. 1394-1399.
[45] C. Zhao, J. Ruan, Z. Du, S. Liu, Y. Yu, and Y. Zhang, "Calculation of parameters in transformer winding based on the model of multi-conductor transmission line," in Electrical Machines and Systems, 2008. ICEMS 2008. International Conference on, 2008, pp. 463-467.
[46] S. D. Mitchell, "Power transformer modelling to support the interpretation of frequency response analysis| NOVA. The University of Newcastle's Digital Repository," 2011.
[47] E. Bjerkan and H. Høidalen, "High frequency FEM-based power transformer modeling: investigation of internal stresses due to network-initiated overvoltages," Electric power systems research, vol. 77, pp. 1483-1489, 2007.
[48] K. N. B. Abeywickrama, T. Daszczynski, Y. V. Serdyuk, and S. M. Gubanski, "Determination of complex permeability of silicon steel for use in high-frequency modeling of power transformers," Magnetics, IEEE Transactions on, vol. 44, pp. 438-444, 2008.
[49] K. Wirgau, "Inductance calculation of an air-core disk winding," Power Apparatus and Systems, IEEE Transactions on, vol. 95, pp. 394-400, 1976.
[50] R. M. del Vecchio, Transformer design principles: with applications to core-form power transformers: CRC press, 2001.
[51] H. E. Abdelbagi, "SKIN AND PROXIMITY EFFECTS IN TWO PARALLEL PLATES," Wright State University, 2007.
[52] S. D. Mitchell and J. S. Welsh, "Modeling power transformers to support the interpretation of frequency-response analysis," Power Delivery, IEEE Transactions on, vol. 26, pp. 2705-2717, 2011.
[53] S. Yang, M. Dong, G. Zhang, and Z. Zhang, "Application of dielectric response for oil-immersed transformer," in Properties and Applications of Dielectric Materials, 2009. ICPADM 2009. IEEE 9th International Conference on the, 2009, pp. 370-373.
[54] M. Bagheri, M. Vakilian, A. Hekmati, and R. Heidarzadeh, "Influence of electrostatic shielding of disc winding on increasing the series capacitance in transformer," in Power Tech, 2007 IEEE Lausanne, 2007, pp. 1780-1784.
[55] R. A. Rohrer, Circuit theory: an introduction to the state variable approach: McGraw-Hill, 1969.
[56] A. Abu-Siada and S. Islam, "A novel online technique to detect power transformer winding faults," Power Delivery, IEEE Transactions on, vol. 27, pp. 849-857, 2012.
[57] J. Secue and E. Mombello, "Sweep frequency response analysis (SFRA) for the assessment of winding displacements and deformation in power transformers," Electric Power Systems Research, vol. 78, pp. 1119-1128, 2008