Abstract
A novel approach for solving the monopolar corona in high voltage direct current (HVDC) transmission line systems is proposed by the finite difference method (FDM) and a full multigrid method (FMG). Specifically, the FMG is implemented as a fast solver with respect to existing iterative solutions for the FDM to solve the Poisson equation, particularly on fine grids. The advantage features of the proposed approach are that it avoids the hypothesis of a constant electric field around the conductor’s surface. Further, it considers the influence of space charge on both the magnitude and the direction of the electrical field. The proposed approach is employed for computing the electric field and current density on the ground plane with and without wind effect. Considering the impact of wind in the present study, the findings confirm that both corona current density and electric field on the ground plane are influenced by the transverse wave. Eventually, the effect of changing the wind speed on the electric field profiles and the current density is deeply studied in HVDC transmission line systems. To prove the efficacy of the proposed approach, it is compared with previous experimental results where a better agreement is reached rather than other numerical techniques.
Highlights
With the huge increase in power transmitted over long distances, high voltage direct current (HVDC) transmission has become emulative, and many HVDC transmission lines have been built around the world [1], [2]
The finite difference method is applied to a fine rectangular grid of (256 × 256) points, with an artificial boundary extended to 2H in the vertical direction (Sy) and 3H in the horizontal direction (Sx )
The results show that as the applied voltage is more than the corona onset voltage, the electric field around the wire (Ew) drops below the onset field (Eon) in the same manner as was found experimentally in previous work [29], [30]
Summary
With the huge increase in power transmitted over long distances, high voltage direct current (HVDC) transmission has become emulative, and many HVDC transmission lines have been built around the world [1], [2]. To cover the gap in the literature, this study is aiming to propose a novel approach for solving Poisson and the current continuity equation of the monopolar corona in HVDC transmission line considering wind effects. This approach is accomplished by combining the FDM with the FMG to operate on the finer mesh without suffering from high computing time. As this paper concerns with studying the effect of wind velocity on the current density and the electric field profiles on the ground plane, the points of the grid will be unequally spaced from each other. The potential vi,j is determined at each possible node in the grid by applying the FMG solver as an iterative tool
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