Kontrolsüz Bir Redresörle Beslenen Üç Fazlı Bir Güç Kablosunda Amper Kapasitesinin Azalması ve Güç Kablosu Güç Kaybının Alt Değerinin Bulunması

Doğrultucular elektrik güç sistemlerinde en yaygın karşılaşılan nonlineer yüklerdir. Kontrolsüz doğrultucular senkron doğrultuculara göre daha ucuzdur ve bundan dolayı daha yaygındır ama kontrolsüz doğrultucuların çektikleri akımlar harmonik içermektedir. Ayrıca bu çekilen harmoniklerin genliği yükün gücünün değerine ve doğrultucu parametrelerine bağlıdır. Üç fazlı bir doğrultucuyu üç fazlı güç sistemine bağlamak için üç fazlı bir kablo kullanılabilir. Bu çalışmada senkron bir doğrultucu ve kontrolsüz bir doğrultucu tarafından beslenen üç fazlı bir kablodaki kayıplar karşılaştırılmıştır. Bir kablonun elektriksel eşdeğeri frekansa bağımlıdır. Bu çalışmada yapılan analiz kablonun frekansa bağımlı direnci ve doğrultucu akımları üzerine bazı kabuller yapılarak bulunmuştur. Yapılan analiz kontrolsüz doğrultucu kullanıldığında 3 fazlı kablonun her zaman daha fazla kayba sahip olduğunu ve daha fazla ısınacağını göstermektedir.

Ampacity Decrease in a Three-phase Power Cable Fed by an Uncontrolled Rectifier and Finding a Lower Limit for the Power Cable Loss

23.06.2023 Accepted: 25.07.2023 DOI: 10.55581/ejeas.1293146 Abstract—Rectifiers are the most common nonlinear loads encountered in electrical power systems. Uncontrolled rectifiers are cheaper than synchronous rectifiers and more common than them because of this but the currents drawn by uncontrolled rectifiers contain harmonics. In addition, the amplitude of these harmonics depends on the value of the load power and the rectifier parameters. A 3-phase cable can be used to connect a three-phase rectifier to a 3-phase power system. In this study, the power losses of a 3-phase cable fed by a synchronous rectifier and an uncontrolled rectifier were compared. The electrical equivalent of a power cable is frequency dependent. The analysis performed in this study was made by making some assumptions about the frequency-dependent resistance of the cable and the rectifier currents. The analysis shows that when an uncontrolled rectifier is fed by a power cable, the cable always has more loss and heats up more for the same amount of RMS current.

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  • Lamb, H. (1883). XIII. On electrical motions in a spherical conductor. Philosophical Transactions of the Royal Society of London.174, 519–549.
  • Beaty, H. W., & Fink, D. G. (2013). Standard handbook for electrical engineers. McGraw-Hill Education
  • Johnson, H., Johnson, H. W., & Graham, M. (2003). High-Speed Signal propagation: Advanced Black Magic. Prentice Hall. pp. 58–78.
  • Aloui, T., Amar, F. B., & Abdallah, H. H. (2011, March). Modeling of a three-phase underground power cable using the distributed parameters approach. In Eighth International Multi-Conference on Systems, Signals & Devices (pp. 1-6). IEEE.
  • Limei Y., Yusong Z., Jianjun X., Weijian R., Qiong W., Zhigang S. (2014). Transmission lines modeling method based on fractional order calculus theory. Transactions of China Electrotechnical Society. 29(9), 260-268.
  • Öztürk, P., Alisoy, H., & Mutlu, R. (2019). Yapay Sinir Ağları Kullanarak İkili ve Üçlü Büküm Makinaların Ürettiği CAT 6A U/FTP Kabloların Parametrelerinin Tahmini ve Tahmin Edilen Sonuçların Karşılaştırılması. European Journal of Engineering and Applied Sciences, 2(2), 41-51
  • Sahin, Y. G., & Aras, F. (2007, April). Investigation of harmonic effects on underground power cables. In 2007 International Conference on Power Engineering, Energy and Electrical Drives (pp. 589-594). IEEE.
  • Karhan, M., Çakır, M. F., & Uğur, M. (2021). A new approach to the analysis of water treeing using feature extraction of vented type water tree images. Journal of Electrical Engineering & Technology, 16, 1241-1252.
  • Perka, B., & Piwowarski, K. (2021). A method for determining the impact of ambient temperature on an electrical cable during a fire. Energies, 14(21), 7260.
  • Geng, P., Song, J., Tian, M., Lei, Z., & Du, Y. (2018). Influence of thermal aging on AC leakage current in XLPE insulation. Aip Advances, 8(2). 025115.
  • Liu, Y., Wang, H., Zhang, H., & Du, B. (2022). Thermal Aging Evaluation of XLPE Power Cable by Using Multidimensional Characteristic Analysis of Leakage Current. Polymers, 14, 3147.
  • IEC 60287-1-1 Electric cables-calculation of the current rating, part 1: current rating equations (100% load factor) and calculation of losses, section 1: general, 2006
  • Chien, C. H., & Bucknall, R. W. (2009). Harmonic calculations of proximity effect on impedance characteristics in subsea power transmission cables. IEEE transactions on power delivery, 24(4), 2150-2158.
  • Bolsens, B., De Brabandere, K., Van den Keybus, J., Driesen, J., & Belmans, R. (2003, June). Transmission line effects on motor feed cables: terminator design and analysis in the Laplace-domain. In IEEE International Electric Machines and Drives Conference, 2003. IEMDC'03. (Vol. 3, pp. 1866-1872). IEEE.
  • Zhou, N., Wang, J., Wang, Q., & Wei, N. (2014). Measurement-based harmonic modeling of an electric vehicle charging station using a three-phase uncontrolled rectifier. IEEE Transactions on Smart Grid, 6(3), 1332-1340.
  • Kassakian, J. G., Schlecht, M. F., Verghese, G. C. (1991). Principle of power electronics. Pearson College Div; Facsimile edition
  • Herraiz, S., Sainz, L., Córcoles, F., & Pedra, J. (2005). A unified and simple model for uncontrolled rectifiers. Electric Power Systems Research, 74(3), 331–340.
  • Chen, M., Qian, Z., Yuan, X., & Qiu, Z. (2006, June). A Frequency Domain Analytical Model of Uncontrolled Rectifiers. In 37th IEEE Power Electronics Specialists Conference (pp. 1-5).
  • Rabinovici, R., Avital, M., & Dagan, K. J. (2012, November). An equivalent model for single and three phase power rectifiers with active loads. In 2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel (pp. 1-5). IEEE.
  • Rahnama, M., Vahedi, A., Alikhani, A. M., Nahid-Mobarakeh, B., & Takorabet, N. (2019). Novel average value model for faulty three-phase diode rectifier bridges. Journal of Power Electronics, 19(1), 288-295.
  • Sun, Y., Dai, C., Li, J., & Yong, J. (2016). Frequency‐domain harmonic matrix model for three‐phase diode‐bridge rectifier. IET Generation, Transmission & Distribution, 10(7), 1605-1614.
  • Unverdi, E., & Yildiz, A. B. (2013). Equivalent circuit model containing AC and DC side harmonics of rectifier circuits. In 4th International Conference on Power Engineering, Energy and Electrical Drives (pp. 582-586). IEEE.
  • Torrey, D. A., & Al-Zamel, A. M. (1995). Single-phase active power filters for multiple nonlinear loads. IEEE Transactions on Power electronics, 10(3), 263-272.
  • Saetieo, S., Devaraj, R., & Torrey, D. A. (1995). The design and implementation of a three-phase active power filter based on sliding mode control. IEEE transactions on Industry Applications, 31(5), 993-1000.
  • Al-Zamil, A. M., & Torrey, D. A. (2001). A passive series, active shunt filter for high power applications. IEEE Transactions on Power Electronics, 16(1), 101-109.
  • Tamyurek, B., & Torrey, D. A. (2010). A three-phase unity power factor single-stage AC–DC converter based on an interleaved flyback topology. IEEE transactions on Power Electronics, 26(1), 308-318.
  • Mohan, N. (1993). A novel approach to minimize line-current harmonics in interfacing power electronics equipment with 3-phase utility systems. IEEE transactions on power delivery, 8(3), 1395-1401.
  • Mohan, N., Undeland, T. M., & Robbins, W. P. (2003). Power electronics: converters, applications, and design. John Wiley & Sons.
  • Riba, J. R. (2015). Analysis of formulas to calculate the AC resistance of different conductors’ configurations. Electric Power Systems Research, 127, 93-100.
  • Sergent, J. S., Coach, C. D., & Roux, R. J. (2011). National electrical code handbook. NFPA.
  • El-Khatib, W. Z., Holbøll, J., Rasmussen, T. W., & Vogel, S. (2015). Comparison of cable models for time domain simulations. In 24th Proceedings of the Nordic Insulation Symposium (pp. 158-162).