Simulation of Ion-Flow Field Using Fully Coupled Upwind Finite-Element Method

An improved method to simulate the ion-flow field generated from the corona discharge on HVDC transmission lines is proposed. To remove the oscillations in simulation of charge conservation law, an upwind weighting function is adopted in the finite-element method. The Poisson's equation and the charge conservation law are solved simultaneously through Newton's method of iterations, which accelerates the convergence of the algorithm. A rule for charge density on boundary in the bipolar problem is proposed in this paper, which ensures the stability of the iterations. The computation time, convergence rate, and accuracy of the proposed method are analyzed. The proposed method is verified by analytical and experimental results, and then it is applied to the prediction of the ion-flow field from a ± 1100-kV HVDC transmission line.

[1]  Gary Johnson,et al.  Electric Fields and Ion Currents of a ±400 kV HVDC Test Line , 1983, IEEE Transactions on Power Apparatus and Systems.

[2]  Yuji Amano,et al.  Electric Field and Ion Current at the Ground and Voltage of Charged Objects Under HVDC Lines , 1981, IEEE Transactions on Power Apparatus and Systems.

[3]  X. Cui,et al.  Analysis of the Ionized Field Under HVDC Transmission Lines in the Presence of Wind Based on Upstream Finite Element Method , 2010, IEEE Transactions on Magnetics.

[4]  N. A. Kapzow.  Elektrische Vorgänge in Gasen und im Vakuum , 1955 .

[5]  Ronnie Belmans,et al.  The classification of coupled field problems , 1999 .

[6]  A. Huerta,et al.  Finite Element Methods for Flow Problems , 2003 .

[7]  T. Hughes,et al.  Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations , 1990 .

[8]  Zhibin Zhao,et al.  Analysis of the Electric Field and Ion Current Density Under Ultra High-Voltage Direct-Current Transmission Lines Based on Finite Element Method , 2007, IEEE Transactions on Magnetics.

[9]  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.

[10]  Rong Zeng,et al.  Discussion on the Deutsch Assumption in the Calculation of Ion-Flow Field Under HVDC Bipolar Transmission Lines , 2010, IEEE Transactions on Power Delivery.

[11]  Jiansheng Yuan,et al.  Analysis of Electric Field, Ion Flow Density, and Corona Loss of Same-Tower Double-Circuit HVDC Lines Using Improved FEM , 2009, IEEE Transactions on Power Delivery.

[12]  Yoshitaka Sunaga,et al.  Method of Calculating Ionized Field of HVDC Transmission Lines and Analysis of Space Charge Effects on RI , 1980, IEEE Transactions on Power Apparatus and Systems.

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

[14]  A. Huerta,et al.  Finite Element Methods for Flow Problems , 2003 .

[15]  S. Muzaferija,et al.  Finite volume method for calculation of electrostatic fields in electrostatic precipitators , 2009 .

[16]  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.

[17]  John S. Townsend,et al.  XI. The potentials required to maintain currents between coaxial cylinders , 1914 .

[18]  Zhong-Xin Li,et al.  Numerical Calculations of Monopolar Corona From the Bare Bundle Conductors of HVDC Transmission Lines , 2009, IEEE Transactions on Power Delivery.

[19]  James Q. Feng.  Application of Galerkin Finite-Element Method with Newton Iterations in Computing Steady-State Solutions of Unipolar Charge Currents in Corona Devices , 1999 .

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

[21]  F. Peek.  Dielectric Phenomena in High Voltage Engineering , 2002 .

[22]  Jiayu Lu,et al.  A Calculation Method for the Electric Field Under Double-Circuit HVDC Transmission Lines , 2008, IEEE Transactions on Power Delivery.

[23]  Luo Zhaonan.  A Hybrid Method for the Simulation of Ion Flow Field of HVDC Transmission Lines Based on Finite Element Method and Finite Volume Method , 2011 .

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

[25]  W. Janischewskyj,et al.  Finite Element Solution for Electric Fields of Coronating DC Transmission Lines , 1979, IEEE Transactions on Power Apparatus and Systems.