Modeling and Estimation of Corona Losses in Bipolar HVDC Transmission Line Using Finite Element Methods(FEM)

Document Type : Original Article

Abstract

Corona losses are one of the main issues in the design of HVDC transmission lines. A lot of research has been done in the calculation of corona losses in DC transmission lines in various line voltages. In bipolar transmission lines, positive ions, negative ions and ion-ion particles are produced under the influence of corona. Due to the presence of various particles in the corona, the complexity of the calculations will be higher than unipolar fields. In this article, the bipolar relations governing the field are solved and after calculating the positive and negative load flow density, corona losses are calculated.
In this paper, finite element methods (FEM) have been used to calculate corona losses in a DC high voltage transmission line. Simulations of the FEM method have been performed by ANSYS software. Given that the algorithm provides a lot of calculations in the analysis of the results of simulations and reloading the results in the simulation, then the MATLAB software has been used to analyze the ANSYS outputs. The results obtained in this paper include distribution of electric field strength vectors, electrical flux density, potential and also free loads within the corona range. In addition to the above, corona flow and casualties are the final results of the calculations made in this article.

Keywords

References

 
[1]  V. I. Popkov, “On the Theory of Unipolar DC Corona,” Elektrichestvo, Technical Translation 1093, National Research Council of Canada, no. 1, pp. 33-48, 1949.##
 [2]  J. H. Simpson, “Theoretical and Experimental Studies of Corona Loss from D. C. Lines,” Corona Research Meeting, Montreal, P.Q., Canada, March 17-18, 1966.##
 [3]  M. P. Sarma and W. Janischewskyj, “Analysis of Corona Losses on DC Transmission Lines: I- Unipolar Lines,” IEEE Trans. PAS, vol. 88 , pp. 718-731, 1969.##
[4]  M. P. Sarma and W. Janischewskyj, “Analysis of Corona Losses on DC TransmissionLines: II- Bipolar Lines,” IEEE Trans. PAS, vol. 88, pp. 1476-1491, 1969.##
[5] P. S. Maruvada, “Corona-Generated Space Charge Environment in the Vicinity of HVDC Transmission Lines,” IEEE Trans. PAS, vol. 17, pp. 125-130, 1982.##
[6]   A. A. Elmoursi and G. S. P. Castle, “Modelling of Corona Characteristics in a Wire-Duct Precipitator Using the Charge Simulation Technique,” IEEE Trans. IA, vol. 23, pp. 95-102, 1987.##
 [7] K. Adamiak, “Simulation of Corona in Wire-Duct Electrostatic Precipitator by Means of the Boundary Element Method”, IEEE Trans. IA, vol. 30, pp. 381-386, 1994.##
 [8]  W. Li, B. Zhang, R. Zeng, and J. He, “Discussion on the Deutsch Assumption in the Calculation of Ion-Flow Field Under HVDC Bipolar Transmission Lines,” IEEE Transactions on Power Delivery, vol. 25, no. 4, pp.2759-2767, 2010.##
 [9] M. Khalifa and M. Abdel-Salam, “Improved Method for Calculating DC CoronaLosses,” IEEE Trans. PAS, vol. 93, pp. 720-726, 1974.##
 [10] T. Takuma, T. Ikeda, and T. Kawamoto, “Calculations of Ion Flow Fields of HVDC Transmission Lines by the Finite Element Method,” IEEE Trans. PAS, vol. 100, pp. 4802-4810, 1981.##
 [11] T. Lu, H. Feng,  Z. Zhao, and X. Cui, “Analysis of the Electric Field and Ion Current Density Under Ultra         High-Voltage Direct-Current Transmission Lines Based on Finite Element method,” IEEE Transactions on Magnetics, vol.43, no. 4 ,  pp. 1221-1224, 2007.##
[12] T. Lu, H. Feng, X. Cui, Z. Zhao, and L. Li, “Analysis of the Ionized Field Under HVDC Transmission Lines in the Presence of Wind Based on Upstream Finite Element Method, IEEE Transactions on Magnetics,” vol. 46, no. 8, pp. 2939-2942, 2010.##
[13] P. Sarma Maruvada, “Influence of Wind on the Electric Field and Ion Current Environment of HVDC Transmission Lines,” IEEE Transactions on Power Delivery, vol. 29, no. 6, pp. 2561- 2569, 2014.##
 [14] B. L. Qin, J. N.Sheng, Z. Yan, and G. Gela, “Accurate Calculation of Ion Flow Field under HVDC Bipolar Transmission Lines,” IEEE Trans. PWRD, vol. 3, pp.368-376, 1988.##
[15] E. Kuffel, A. Dzierzynski, and J. PoItz, “Final Report on: Development of Numerical Method for Analysis of Bipolar Corona on an HVdc System,” The University of Manitoba, January 28, 1987.##
 [16] J. Poltz and E. Kuffel, “A New Method for the Two-Dimensional Bipolar Ion Flow Calculation,” 6th International Symposium on High Voltage Engineering, New Orleans, LA, USA, Aug.28-Sept.l, 1989.##
 [17] M. Yu, “The Study of Ionized Fields Associated with HVDC Transmission Lines in the Presence of Wind,” Ph.D Dissertation, Dept, of Electrical & Computer Engineering,  University of Manitoba, 1993.##                                   
[18] A. J. Butler, Z. J. Cendes, and J. F. Hoburg, “Interfacing the Finite-Element Method with the Method of Characteristics in Self-Consistent Electrostatic Field Models,” IEEE Trans. IA, vol. 25, pp. 533-538, 1989.##
 [19] B. Zhang, J. He, R. Zeng, S. Gu, and L. Cao, “Calculation of Ion Flow Field Under HVdc Bipolar Transmission Lines by Integral Equation Method,” IEEE Transactions on Magnetics, vol. 43, no. 4,  pp. 1237-1240, 2007.##
 [20] B. Zhang, J. Mo, H. Yin, and J. He, “Calculation of Ion Flow Field Around HVdc Bipolar Transmission Lines by Method of Characteristics,” IEEE Transactions on Magnetics, vol. 51, no. 3, Article Sequence Number: 7204604, 2015.##
 [21] M. Abdel-Salam and Z. AI-Hamouz, “Analysis of Monopolar Ionized Field as Influenced by Ion Diffusion,” IEEE Trans. IA, vol. 31, pp. 484-493, 1995.##
 [22] M. Abdel-Salam and Z. AI-Hamouz, “A Finite-ELement Analysis of Bipolar Ionized Field,” IEEE Trans. IA, vol. 31, pp. 477-483, 1995.##
 [23] G. Ghione and R. D. Graglia, “Two-Dimensional           Finite-Boxes Analysis of Mono olar Corona Fields Including Ion Diffusion,” IEEE Trans, on Magnetics, vol. 26,  pp.     567-570, 1990.##
 [24] J. R. McDonald, W. B.Smith, H. W. Spencer, and L. E. Sparks, “A MathematicalModel for Calculating Electrical Conditions in Wire-duct Electrostatic PrecipitationDevices,” J. Appl. Phys., vol. 48, pp. 2231-2243, 1977.##
 [25] P. A. Lawless and L. E. Sparks, “A Mathematical Model for Calculating Effects of Back Corona in Wire-duct Electrostatic Precipitators,” J. Appl. Phys., vol. 51, pp.242-256, 1980.##
 [26] Z.-X. Li, G.-F. Li, J.-B. Fan, and Y. Yu, “Corona Onset Voltage of Bipolar Bundle Conductors of HVDC Transmission Line,” IEEE Transactions on Power Delivery, vol. 26, no. 2, pp. 693-702, 2011.##
 [27] G. Huang, J. Ruan, Z. Du, and C. Zhao, “Highly Stable Upwind FEM for Solving Ionized Field of HVDC Transmission Line,” IEEE Transactions on Magnetics, vol. 48, no. 2, pp. 719-722, 2012.##
 [28]X. Zhou, T. Lu, X. Cui, Y. Zhen, and G. Liu, “Simulation of Ion-Flow Field Using Fully Coupled Upwind Finite-Element Method,” IEEE Transactions on Power Delivery, vol. 27, no. 3, pp. 1574-1582, 2012.##
   [29] H. Yin, B. Zhang, J. He, and W. Wang, “Restriction of Ion-Flow Field Under HVDC Transmission Line by Installing Shield Wire,” IEEE Transactions on Power Delivery, vol. 28, no. 3 , pp. 1890 - 1898, 2013.##
[30] J. Qiao, J. Zou, and B. Li, “Calculation of the ionised field and the corona losses of high-voltage direct current transmission lines using a finite-difference-based flux tracing method, IET Generation,” Transmission & Distribution vol. 9, no. 4, pp. 348 - 357, 2015.##
 [31] T. Takuma and T. Kawamoto, “A Very Stable Calculation Method for Ion Flow Field of HVDC Transmission Lines,” IEEE Trans. PWRD, vol. 2, pp. 189-198, 1987.##   
[32] B. L. Qin, J. N. Sheng, Z. Yan, and G. Gela, “Accurate Calculation of Ion Flow Field under HVDC Bipolar Transmission Lines,” IEEE Trans. PWRD, vol. 3, pp.368-376, 1988.##     
 [33] Z. M. Al-Hamouz and M. Abdel-Salam, “Finite-Element Solution of Monopolar Corona on Bundle Conductors,” IEEE Transaction on industry application, vol. 35, no. 2, pp. 380-386, 1999.##
 [34] Z. M. Al-Hamouz, M. Abdel-Salam, and A. Mufti, “ Improved calculation of Finite Element Analysis of Bipolar Corona Including Ion Diffusion,” Industry Application Conference , pp. 1912-1918, 1996 .##
 [35] Z. M. Al-Hamouz, “Corona Power Loss, Electric Field, and Current Density Profiles in bundled Horizontal and vertical Bipolar Conductors,” IEEE Transaction on industry application, vol. 38, no. 5, pp. 1182-1189, 2002.##
Applied Electromagnetics
Volume 4, Issue 4 - Serial Number 13
February 2016
Pages 37-47

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History

  • Receive Date: 21 February 2018
  • Revise Date: 26 April 2018
  • Accept Date: 20 October 2018
  • Publish Date: 20 January 2017

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