Adaptive finite-element ballooning analysis of bipolar ionized fields

This paper presents an adaptive finite-element iterative method for the analysis of the ionized field around high-voltage bipolar direct-current (HVDC) transmission line conductors without resort to Deutsch's assumption. A new iterative finite-element ballooning technique is proposed to solve Poisson's equation wherein the commonly used artificial boundary around the transmission line conductors is simulated at infinity. Unlike all attempts reported in the literature for the solution of the ionized field, the constancy of the conductors' surface field at the corona onset value is directly implemented in the finite-element formulation. In order to investigate the effectiveness of the proposed method, a laboratory model was built. It has been found that the calculated V-I characteristics and the ground-plane current density agreed well with those measured experimentally. The simplicity in computer programming in addition to the low number of iterations required to achieve convergence characterize this method of analysis.

[1]  Nabeel A. O. Demerdash,et al.  A finite element ballooning model for 2D eddy current open boundary problems for aerospace applications , 1992, 1992. Digests of Intermag. International Magnetics Conference.

[2]  L. Segerlind.  Applied Finite Element Analysis , 1976 .

[3]  Mazen Abdel-Salam,et al.  A new finite-element analysis of an ionized field in coaxial cylindrical geometry , 1992 .

[4]  Zakariya Al-Hamouz,et al.  A finite-element analysis of bipolar ionized field , 1995 .

[5]  Mazen Abdel-Salam,et al.  Novel finite-element analysis of space-charge modified fields , 1994 .

[6]  C. Gallo,et al.  Corona-A Brief Status Report , 1977, IEEE Transactions on Industry Applications.

[7]  Z. Csendes,et al.  Surge Arrester Voltage Distribution Analysis by the Finite Element Method , 1981, IEEE Transactions on Power Apparatus and Systems.

[8]  M. Abdel-Salam,et al.  A universal finite-element analysis of the bipolar ionized field , 1993, Conference Record of the 1993 IEEE Industry Applications Conference Twenty-Eighth IAS Annual Meeting.

[9]  Noriyuki Hayashi,et al.  Influence of Wind and Conductor Potential on Distributions of Electric Field and Ion Current Density at Ground Level in DC High Voltage Line to Plane Geometry , 1982, IEEE Transactions on Power Apparatus and Systems.

[10]  L. Shafai,et al.  Numerical assessment of unipolar corona ionised field quantities using the finite-element method (HVDC transmission lines) , 1989 .

[11]  M. Abdel-Salam,et al.  Finite Element Solution of Monopolar Corona Equation , 1983, IEEE Transactions on Electrical Insulation.

[12]  Mazen Abdel-Salam,et al.  Finite-element analysis of monopolar ionized fields including ion diffusion , 1993 .

[13]  Tsutomu Ikeda,et al.  Calculation of ION Flow Fields of HVDC Transmission Lines By the Finite Element Method , 1981, IEEE Transactions on Power Apparatus and Systems.

[15]  Mazen Abdel-Salam,et al.  Improved Method for Calculating DC Corona Losses , 1974 .

[16]  J. N. Sheng,et al.  Accurate calculation of ion flow field under HVDC bipolar transmission lines , 1988 .

[17]  Mark N. Horenstein,et al.  Computation of Corona Space Charge, Electric Field, and V-I Characteristic Using Equipotential Charge Shells , 1984, IEEE Transactions on Industry Applications.

[18]  John R. Brauer,et al.  Open boundary finite elements for axisymmetric magnetic and skin effect problems , 1982 .

[19]  Wasyl Janischewskyj,et al.  Analysis of Corona Losses on DC Transmission Lines Part II - Bipolar Lines , 1969 .

[20]  S. Law,et al.  Bipolar Spray Charging for Leaf-Tip Corona Reduction by Space-Charge Control , 1987, IEEE Transactions on Industry Applications.

[21]  J. Hoburg,et al.  Donor cell-finite element descriptions of wire-duct precipitator fields, charges and efficiencies , 1988, Conference Record of the 1988 IEEE Industry Applications Society Annual Meeting.

[22]  Maruvada P. Sarma,et al.  Corona Loss Characteristics of Practical HVDC Transmission Lines, Part I: Unipolar Lines , 1970 .

[23]  J. Altenbach,et al.  Segerlind, L. J., Applied Finite Element Analysis. New York‐London‐Sydney‐Toronto, John Wiley & Sons 1976. XIII, 422 S., £ 12.60 , 1979 .

[24]  Wasyl Janischewskyj,et al.  Analysis of Corona Losses on DC Transmission Lines: I - Unipolar Lines , 1969 .

[25]  Walter Leroy Weeks.  Transmission and Distribution of Electrical Energy , 1929 .

[26]  R. Rechenmacher,et al.  Pan-da And Beyond Data Acquisition For the Next Generation Experiments , 1991, Seventh Conference Real Time '91 on Computer Applications in Nuclear, Particle and Plasma Physics Conference Record.

[27]  James F. Hoburg,et al.  HVDC transmission line computations using finite element and characteristics method , 1986 .

[28]  P. Silvester,et al.  Exterior finite elements for 2-dimensional field problems with open boundaries , 1977 .

[29]  M. K. Abdelsalam,et al.  Calculating the surface fields of conductors in corona , 1973 .

[30]  Z. J. Csendes,et al.  Surge Arrester Voltage Distribution Analysis by the Finite Element Method , 1981 .

[31]  P. Silvester,et al.  Finite-element solution of 2-dimensional exterior-field problems , 1971 .

[32]  Tadasu Takuma,et al.  A Very Stable Calculation Method for Ion Flow Field of HVDC Transmission Lines , 1987, IEEE Transactions on Power Delivery.

[33]  K. Adamiak,et al.  Adaptive approach to finite element modelling of corona fields , 1992, Conference Record of the 1992 IEEE Industry Applications Society Annual Meeting.

[34]  Mazen Abdel-Salam,et al.  Analysis of monopolar ionized field as influenced by ion diffusion , 1993 .

[35]  Giovanni Ghione,et al.  Two-dimensional finite-boxes analysis of monopolar corona fields including ion diffusion , 1990 .

[36]  Zakariya Mahmoud Al-Hamouz.  Analysis of the ionized field around HVDC transmission lines , 1994 .