A heuristic approach for volume calculation of oil-type power transformers: firefly algorithm

volume calculation of oil-type power transformer

  • Tuğçe Demirdelen Dr
Keywords: firefly algorithm, genetic algorithm, power transformer, optimization


Power transformers play an important role in the transmission and distribution of electrical energy. Power transformers increase or decrease the voltage level without changing the power and frequency of alternating current (AC) electricity. Power transformers are divided into oil type and dry type transformers. Both two types have disadvantages of high cost and isolation problems etc. These problems are reduced by the optimization of transformer design parameters. In this study, the most optimal design dimension is determined by using the firefly algorithm, which is a new heuristic approach in calculating the volume of oil type power transformers at least time. At the same time, the performance comparison is made with the most preferred genetic algorithm, which is one of the other intuitive methods, and the advantages of the firefly algorithm are revealed. This work will provide both cost and time benefits for transformer manufacturers.


[1] H. R. Mirzaei, A. Akbari, E. Gockenbach, M. Zanjani and K. Miralikhani, "A novel method for ultra-high-frequency partial discharge localization in power transformers using the particle swarm optimization algorithm", in IEEE Electrical Insulation Magazine, March-April 2013, vol. 29, no. 2, pp. 26-39, doi: 10.1109/MEI.2013.6457597
[2] S. Jazebi, F. de Leon and B. Vahidi, "Duality-synthesized circuit for eddy current effects in transformer windings", in IEEE Transactions on Power Delivery, April 2013, vol. 28, no. 2, pp. 1063-1072. doi: 10.1109/TPWRD.2013.2238257
[3] T. T. Vu, S. O’Driscoll and J. V. Ringwood, "Nonlinear dynamic transformer time-domain identification for power converter applications", IEEE Transactions on Power Electronics, vol. 29, no. 1, pp. 318-327, doi: 10.1109/TPEL.2013.2251006
[4] Y. Chen, F. Liu, S. Mei, G. He, Q. Lu and Y. Fu, "An improved recursive bayesian approach for transformer tap position estimation", IEEE Transactions on Power Systems, vol. 28, no. 3, pp. 2830-2841, doi: 10.1109/TPWRS.2013.2248761
[5] L. dos Santos Coelho, V. C. Mariani, M. V. Ferreira da Luz and J. V. Leite, "Novel gamma differential evolution approach for multiobjective transformer design optimization", IEEE Transactions on Magnetics, May 2013, vol. 49, no. 5, pp. 2121-2124. doi: 10.1109/TMAG.2013.2243134
[6] A. Ramos, J. C. Burgos, A. Moreno and E. Sorrentino, "Determination of parameters of zero-sequence equivalent circuits for three-phase three-legged YNynd transformers based on onsite low-voltage tests", IEEE Transactions on Power Delivery, vol. 28, no. 3, pp. 1618-1625, July 2013. doi: 10.1109/TPWRD.2013.2259184
[7] R. A. Hooshmand, M. Parastegari and M. Yazdanpanah, "Simultaneous location of two partial discharge sources in power transformers based on acoustic emission using the modified binary partial swarm optimisation algorithm", IET Science, Measurement & Technology, vol. 7, no. 2, pp. 119-127, March 2013. doi: 10.1049/iet-smt.2012.0029
[8] E. I. Amoiralis, M. A. Tsili, D. G. Paparigas and A. G. Kladas, "Global transformer design optimization using deterministic and nondeterministic algorithms," in IEEE Transactions on Industry Applications, vol. 50, no. 1, pp. 383-394, Jan.-Feb. 2014.
doi: 10.1109/TIA.2013.2288417
[9] L. dos. Sandos. Coelho, V. C. Mariani, F. A. Guerra, M. V. F. da Luz and J. V. Leite, "Multiobjective optimization of transformer design using a chaotic evolutionary approach", IEEE Transactions on Magnetics, vol. 50, no. 2, pp. 669-672, Feb. 2014. doi: 10.1109/TMAG.2013.2285704
[10] M. Çelebi, “Genetik algoritma ile kuru bir trafonun maliyet optimizasyonu”, 2008, ELECO.
[11] M. Carlen, D. Xu, J. Clausen, T. Nunn, V. R. Ramanan and D. M. Getson, "Ultra high efficiency distribution transformers," IEEE PES T&D 2010, New Orleans, LA, 2010, pp. 1-7. doi: 10.1109/TDC.2010.5484301
[12] A. Prieto, M. Cuesto, P. Pacheco, M. Oliva, L. Prieto, A. Fernandez, L. Navarro, H. Gago, M. Burgos. “Optimization of power transformers based on operative service conditions for improved performance”, 2012, CIGRE, A2-207, pp. 1-15.
[13] H. L. Liu, “Acoustic partial discharge localization methodology in power transformers employing the quantum genetic algorithm”, 2016, Applied Acoustics, vol. 102, pp. 71-78.
[14] J. Qi, J. Hu, Y. Peng, W. Wang, Z. Zhan, “AGFSM: An new FSM based on adapted Gaussian membership in case retrieval model for customer-driven design”, Expert Systems with Applications, 2011, vol. 38, no. 1, pp. 894-905.
[15] A. M., Sobrinho, J. R., Camacho, J. A., Malagoli, and A. C. F., Mamede, “Analysis of the maximum inrush current in the otimal design of a single phase transformer”, 2016, IEEE Latin America Transactions, vol. 14, no. 12, pp. 4706-4713.
[16] R. D. Villarroel, D. F. García, M. A. Dávila and E. F. Caicedo, "Particle swarm optimization vs genetic algorithm, application and comparison to determine the moisture diffusion coefficients of pressboard transformer insulation", IEEE Transactions on Dielectrics and Electrical Insulation, vol. 22, no. 6, pp. 3574-3581, December 2015. doi: 10.1109/TDEI.2015.005123
[17] R. Liao, H. Zheng, S. Grzybowski and L. Yang, “Particle swarm optimization-least squares support vector regression based forecasting model on dissolved gases in oil-filled power transformers”, 2011, Electric Power Systems Research, vol. 81, no. 12, pp. 2074-2080.
[18] D. F. García, “A new proposed moisture diffusion coefficient for transformer paper”, 2013, International Journal of Heat and Mass Transfer, vol. 56, no. 1, pp. 469-474.
[19] M. Yazdani-Asrami, M. Taghipour-Gorjikolaie, S. M. Razavi and S. A. Gholamian, “A novel intelligent protection system for power transformers considering possible electrical faults, inrush current, CT saturation and over-excitation”, 2015, International Journal of Electrical Power & Energy Systems, vol. 64, pp. 1129-1140.
[20] A. A. Adly and S. K. Abd-El-Hafiz, “A performance-oriented power transformer design methodology using multi-objective evolutionary optimization”, Journal of Advanced Research, vol. 6, no. 3, pp. 417-423.
[21] H. Malik, A. K. Yadav, S. Mishra and T. Mehto, “Application of neuro-fuzzy scheme to investigate the winding insulation paper deterioration in oil-immersed power transformer”, 2013, International Journal of Electrical Power & Energy Systems, vol. 53, pp. 256-271.
[22] E. Rahimpour, V. Rashtchi and H. Shahrouzi, “Applying artificial optimization methods for transformer model reduction of lumped parameter models”, Electric Power Systems Research, vol. 84, no.1, pp. 100-108.
[23] D. Aşkın, İ. İskender and A. Mamizadeh, “Farklı yapay sinir ağları yöntemlerini kullanarak kuru tip transformatör sargısının termal analizi”, 2011, Gazi Üniversitesi Mühendislik-Mimarlık Fakültesi Dergisi, vol. 26, no. 4, pp. 905-913.
[24] P. Tamilselvan and P. Wang, “A tri-fold hybrid classification approach for diagnostics with unexampled faulty states”, Mechanical Systems and Signal Processing, 2015, vol. 50, pp. 437-455.
[25] B. Xia, G. G. Jeong and C. S. Koh, "Co-Kriging assisted PSO algorithm and its application to optimal transposition design of power transformer windings for the reduction of circulating current loss," IEEE Transactions on Magnetics, March 2016, vol. 52, no. 3, pp. 1-4, doi: 10.1109/TMAG.2015.2480868
[26] K. R. Hwang, J. R. Jung, Y. M. Kim, H. J. Yang, "New locating method of partial discharges in power transformers based on electromagnetic wave propagation characteristics", 2014, CIGRE, D1-217.
[27] T. Y. Ji, W. H. Tang and Q. H. Wu, “Detection of power transformer winding deformation and variation of measurement connections using a hybrid winding model”, 2012, Electric Power Systems Research, vol. 87, pp. 39-46.
[28] D. F. García, B. García, J. C. Burgos and N. García-Hernando, “Determination of moisture diffusion coefficient in transformer paper using thermogravimetric analysis”, 2012, International Journal of Heat and Mass Transfer, vol. 55, no. 4, pp. 1066-1075.
[29] H. Balaga, N. Gupta and, D. N Vishwakarma, “GA trained parallel hidden layered ANN based differential protection of three phase power transformer”, 2015, International Journal of Electrical Power & Energy Systems, vol. 67, pp. 286-297.
[30] P. C. Fritzen, J. M. Zauk, G. Cardoso, A. de Lima Oliveira and O. C. B. de Araújo, “Hybrid system based on constructive heuristic and integer programming for the solution of problems of fault section estimation and alarm processing in power systems”, Electric Power Systems Research, vol. 90, pp. 55-66.
[31] H. A. Illias and X. R. Chai, "Hybrid modified evolutionary particle swarm optimisation-time varying acceleration coefficient-artificial neural network for power transformer fault diagnosis", 2016, Measurement, vol. 90, pp. 94-102.
[32] V. A. Yatsevsky, "Hydrodynamics and heat transfer in cooling channels of oil-filled power transformers with multicoil windings", 2014, Applied Thermal Engineering, vol. 63, no. 1, pp. 347-353.
[33] A. Shintemirov, W. J. Tang, W. H. Tang and Q. H. Wu, "Improved modeling of power transformer winding using bacterial swarming algorithm and frequency response analysis", 2010, Electric Power Systems Research, vol. 80, no. 9, pp. 1111-1120.
[34] K. Samarawickrama, N. D. Jacob, A. M. Gole and B. Kordi, "Impulse generator optimum setup for transient testing of transformers using frequency-response analysis and genetic algorithm", 2015, IEEE Transactions on Power Delivery, vol. 30, no. 4, pp. 1949-1957.
[35] A. Ramos and J. C. Burgos, "Influence of tertiary stabilizing windings on zero-sequence performance of three-phase three-legged YNynd transformers. Part I: Equivalent circuit models", 2017, Electric Power Systems Research, vol. 144, pp. 32-40.
[36] H. Malik and R. K. Jarial, "Make use of DGA to carry out the transformer oil-immersed paper deterioration condition estimation with fuzzy-logic", 2012, Procedia Engineering, vol. 30, pp. 569-576.
[37] T. Orosz, Á. Sleisz and Z. Á. Tamus, "Metaheuristic Optimization Preliminary Design Process of Core-Form Autotransformers", IEEE Transactions on Magnetics, vol. 52, no. 4, pp. 1-10, April 2016. doi: 10.1109/TMAG.2015.2496905.
[38] Y. S. Chistyakov, E. V. Kholodova, A. S. Minin, H. G. Zimmermann and A. Knoll, "Modeling of Electric Power Transformer Using Complex-Valued Neural Networks", 2011, Energy Procedia, vol. 12, pp. 638-647.
[39] X. He, G. Xie and Y. Jiang, "Online partial discharge detection and location system using wireless sensor network", 2011, Energy Procedia, vol. 12, pp. 420-428.
[40] M. Humayun, B. J. O. Sousa, A. Safdarian, M. Ali, M. Z. Degefa, M. Lehtonen, M. Fotuhi-Firuzabad, "Optimal Capacity Management of Substation Transformers Over Long-Run", IEEE Transactions on Power Systems, vol. 31, no. 1, pp. 632-641, Jan. 2016. doi: 10.1109/TPWRS.2015.2396576.
[41] J. Li, Q. Zhang, K. Wang, J. Wang, T. Zhou and Y. Zhang, "Optimal dissolved gas ratios selected by genetic algorithm for power transformer fault diagnosis based on support vector machine", IEEE Transactions on Dielectrics and Electrical Insulation, vol. 23, no. 2, pp. 1198-1206, April 2016. doi: 10.1109/TDEI.2015.005277
[42] K. R. Rao and M. N. Karsiti, "Optimal design of a furnace transformer by intelligent evolutionary methods", 2012, International Journal of Electrical Power & Energy Systems, vol. 43, no. 1, pp. 1056-1062.
[43] M. Mittal, M. Bhushan, S. Patil, and S. Chaudhari, "Optimal feature selection for SVM based fault diagnosis in power transformers", 2013, IFAC Proceedings Volumes, vol. 46, no. 32, pp. 809-814.
[44] E. I. Amoiralis, M. A. Tsili and A. G. Kladas, "Transformer design and optimization: a literature survey", IEEE Transactions on Power Delivery, vol. 24, no. 4, pp. 1999-2024, Oct. 2009.doi: 10.1109/TPWRD.2009.2028763.
[45] K. Markusson, "Optimization of High Voltage Power Transformer Design Using Genetic Algorithms", Msc Thesis, 2005.
[46] O. Ozgonenel and S. Karagol, "Transformer differential protection using wavelet transform", 2014, Electric Power Systems Research, vol. 114, pp. 60-67.
[47] J. Smolka and A. J. Nowak, "Shape optimization of coils and cooling ducts in dry-type transformers using computational fluid dynamics and genetic algorithm", IEEE Transactions on Magnetics, vol. 47, no. 6, pp. 1726-1731, June 2011. doi: 10.1109/TMAG.2011.2109731.
[48] R. Murillo, J. Smajic, J. Tepper, A. Nogués and T. Steinmetz, "Electromagnetic simulations supporting the development of dry-type transformers for subtransmission voltage levels", 2012, CIGRE, A2-208, Paris.
[49] S. Tosun, A. Öztürk, H. Demir And L., Kuru. , "Kuru tip transformatörün tabu arama algoritması yöntemi ile ağırlık optimizasyonu", 2012, İleri Teknoloji Bilimleri Dergisi, vol. 1, no. 1, pp. 17-26.
[50] J. Smolka, "CFD-based 3-D optimization of the mutual coil configuration for the effective cooling of an electrical transformer", 2013, Applied Thermal Engineering, vol. 50, no. 1, pp. 124-133, ISSN 1359-4311, http://dx.doi.org/10.1016/j.applthermaleng.2012.06.012.
[51] M. Zhang, N. Wang and X. Ding, "Improved artificial fish swarm algorithm for fault diagnosis of dry-type transformer", 2013, 2013 Fourth International Conference on Digital Manufacturing & Automation, Qingdao, pp. 679-683. doi: 10.1109/ICDMA.2013.161
[52] Y. Alcan, A. Öztürk, Ö. Özmen, “Yerçekimsel arama algoritması ile değişik çalışma koşulları için transformatör verim optimizasyonu”, 2014, ISITES2014, Karabük.
[53] W. Wu, W. Gentzsch and J. A. Kern, "Dry-type transformer optimization using high performance cloud computing: Performance evaluation", 2016, SoutheastCon 2016, Norfolk, VA, pp. 1-2. doi: 10.1109/SECON.2016.7506740.
[54] G. Wang, L. Guo, “A novel hybrid bat algorithm with harmony search for global numerical optimization”, 2013, Journal of Applied Mathematics, doi: 10.1155/2013/696491.
[55] X. S. Yang, “Firefly algorithms for multimodal optimization”, 2009, International symposium on stochastic algorithms, Springer, Berlin, Heidelberg, pp. 169-178.
[56] J. Kwiecień, B. Filipowicz, “Firefly algorithm in optimization of queueing systems”, 2012, Bulletin of the Polish Academy of Sciences: Technical Sciences, vol. 60, pp. 363-368, doi: 10.2478/v10175-012-0049-y.
How to Cite
Demirdelen, T. (2018). A heuristic approach for volume calculation of oil-type power transformers: firefly algorithm. Majlesi Journal of Mechatronic Systems, 6(4), 41-46. Retrieved from http://journals.iaumajlesi.ac.ir/ms/index/index.php/ms/article/view/384