CDA37198d01 - 1104 IEEE Bansactions on Dielectrics and...

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1104 IEEE Bansactions on Dielectrics and Electrical Insulation Vol. 1 No. 6, December 1994 Particle-in-cell Simulation of Bipolar dc Corona Bai-Lin Qin and Patrick D. Pedrow School of Electrical Engineering and Computer Sci- ence, Washington State University, Pullman, WA ABSTRACT Most of the existing methods for calculating dc ionized fields of monopolar and bipolar corona have ignored the ionization regions and excluded the transient phenomena of corona dis- charges. In this paper, bipolar dc corona was studied with a two-dimensional particle-in-cell simulation, which allowed us to model time-dependent, nonlinear, microscopic phenomena involved in the corona discharge. The technique followed sim- ulation particles that represented electrons, positive ions, and negative ions, and self-consistently calculated the associated electric field that determined the simulation particle motion. Finite element and charge simulation methods were used to solve Poisson’s equation while a finite difference scheme was applied to move simulation particles. Multi-scale techniques (nonuniform triangle mesh and variable time step) were em- ployed to reduce numerical noise and increase simulation effi- ciency. The particle-in-cell simulation was applied to a cylindri- cal bipolar corona cage problem. Simulation results included one primitive streamer, multi-electrode induced currents, con- ductor temperature effects, memory effects, the approach to a stationary state, and transient corona saturation. 1. INTRODUCTION NALYSIS of ionized electric fields is important in A many applications such as prediction of the coro- na environment and the corona power loss from HVDC transmission lines, insulation deterioration in power sys- tems, development of new electrostatic precipitators, high- speed printing devices, paint sprayers, etc. Surveys of the literature on methods for solving the HVDC ionized field in steady state have been given [l, 21. Simplified calcu- lations based on Deutsch’s assumption have permitted one to express the two or three dimensional ionized field problem with an approximate one-dimensional formula- tion [3]. Full numerical techniques without Deutsch’s assumption have been constructed. These include: fi- nite difference method (FDM) [4], finite element method (FEM) [5], the upstream FEM [6], the FDM-FEM tech- nique [7], FEM combined with the method of characteris- tics (MOC) [8], and the charge simulation method (CSM) combined with a weighted residual method (WRM) [9]. Other techniques have also been adopted, such as bound- ary element method (BEM) [lo] and donor cell-finite el- ement descriptions [ll]. In a recent paper [12], the space charge field of a wire-to-plane problem has been calcu- lated by using bipolar cylindrical coordinates and an it- eration technique. In that work, Poisson’s equation was solved using a double Fourier transform and the trans- port equation was evaluated by FDM employing upwind differencing.
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This note was uploaded on 06/08/2011 for the course ELECTRICAL 124 taught by Professor Ghjk during the Spring '11 term at Institute of Technology.

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CDA37198d01 - 1104 IEEE Bansactions on Dielectrics and...

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