A new method for solving ionized fields of unipolar HVDC lines including effect of wind. Part I: FEM formulation

International Journal of Numerical Modelling: Electronic Networks, Devices and Fields

Volumn 10, Issue 1, 1997, Pages 47-56

  Li, Xin ^a   Ciric, I R ^a   Raghuveer, M R ^a  

^a UNIVERSITY OF MANITOBA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

CARRIER CONCENTRATION; ELECTRIC LINES; ELECTROMAGNETIC FIELD THEORY; OPTIMIZATION; PARTIAL DIFFERENTIAL EQUATIONS; VELOCITY; WIND EFFECTS;

GALERKIN FINITE ELEMENT METHOD; IONIZED FIELDS; UNIPOLAR HIGH VOLTAGE DIRECT CURRENT LINES;

FINITE ELEMENT METHOD;

EID: 0030736807     PISSN: 08943370     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1204(199701)10:1<47::AID-JNM257>3.0.CO;2-8     Document Type: Article

References (24)

1. J. S. Townsend, 'The potentials required to maintain currents between coaxial cylinders', Phil. Mag., 28, 83-90 (1914).
2. W. Deutsch, 'Über Die Dichtverteilung Unipolarer Ionenströme', Ann. Phys. 5, 589-613 (1933).
3. V. I. Popkov, 'On the theory of unipolar DC corona', Elektrichestvo, (1), 33-48 (1949), Technical Translation 1093, National Research Council of Canada.
4. I. R. Ciric and E. Kuffel, 'New analytical expressions for calculating unipolar DC corona losses', IEEE Trans., PAS-101, 2988-2994 (1982).
5. I. R. Ciric and E. Kuffel, 'On the boundary conditions for unipolar DC corona field calculation', Fourth International Symposium on High Voltage Engineering, Athens, Greece, 5-9 Sept., 1983.
6. M. P. Sarma and W. Janischewskyj, 'Analysis of corona losses on DC transmission lines: I - unipolar lines', IEEE Trans., PAS-88, 718-731 (1969).
7. M. P. Sarma and W. Janischewskyj, 'Analysis of corona losses on DC transmission lines: II-bipolar lines', IEEE Trans., PAS-88, 1476-1491 (1969).
8. W. Janischewskyj and G. Gela, 'Finite element solution for electric fields of coronating DC transmission lines', IEEE Trans., PAS-98, 1000-1012 (1979).
9. M. Abdel-Salam, M. Farghally and S. Abdel-Sattar, 'Finite element solution of monopolar corona equation', IEEE Trans. Electr. Insul., 18, 110-119 (1983).
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-100, 4802-4810 (1981).
11. B. L. Qin, J. N. Sheng, Z. Yan and G. Gela, 'Accurate calculation of ion flow field under HVDC bipolar transmission lines', IEEE Trans. Power Delivery, 3, 368-376 (1988).
12. J. Poltz and E. Kuffel, 'A new method of the two-dimensional bipolar ion flow calculation', Sixth International Symposium on High Voltage Engineering, New Orleans, USA, 28 Aug.-1 Sept., 1989.
13. 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. Ind. Appl., 25, 533-538 (1989).
14. Ming 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.
15. G. Ghione and R. D. Graglia, 'Two-dimensional finite-boxes analysis of monopolar corona fields including ion diffusion', IEEE Trans. Magn., 26, 567-570 (1990).
16. P. L. Levin and J. F. Hoburg, 'Donor cell-finite element descriptions of wire-duct precipitator fields, charges, and efficiencies', IEEE Trans. Ind. Appl., 26, 662-670 (1990).
17. J. R. McDonald, W. B. Smith, H. W. Spencer III and L. E. Sparks, 'A mathematical model for calculating electrical conditions in wire-duct electrostatic precipitation devices', J. Appl. Phys., 48, 2231-2243 (1977).
18. P. A. Lawless and L. E. Sparks, 'A mathematical model for calculating effects of back corona in wire-duct electrostatic precipitators', J. Appl. Phys., 51, 242-256 (1980).
19. Xin Li, M. R. Raghuveer and I. M. R. Ciric, 'A new method for solving ionized fields associated with HVDC transmission lines', IEEE Annual Report, CEIDP, Virginia Beach, Virginia, USA, 22-25 Oct. 1995.
20. O. C. Zienkiewicz and K. Morgan, Finite Elements and Approximation, Wiley, 1983.
21. S. L. S. Jacoby, J. S. Kowalik and J. T. Pizzo, Iterative Methods for Nonlinear Optimization Problems, Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1972.
22. J. Kowalik and M. R. Osborne, Methods for Unconstrained Optimization Problem, American Elsevier Publishing Company, Inc., New York, 1968.
23. Cui Xiang, Xie Xi, Fei Zengyao, Zhang Jintang and Yuan Jiansheng, 'Some advances in high voltage electrostatic field computation and their applications', Sixth International Symposium on High Voltage Engineering, New Orleans, USA, 28 Aug.-1 Sept. 1989.
24. Xin Li, M. R. Raghuveer and I. R. Ciric, 'A new method for solving ionized fields of unipolar HVDC lines including effect of wind. Part II: iterative techniques and numerical tests', Int. J. Numer Model., Electron. Netw. Devices Fields, 10, 57-69 (1997).