The current continuity equation is usually applied to solve DC electric field distribution when there is inhomogeneous material conductivity due to temperature gradient or multi-layer dielectrics. However, in the presence of charge accumulation, which may result from the process of electrode injection, impurity ionisation or charge trapping, the material conductivity is in tangled relationship with local field strength, and the current continuity equation can be hardly applied due to the ignorance of conductivity distribution. Thus, quantitative analysis on the effect of space (surface) charge for DC apparatus with inhomogeneous material conductivity has been a difficult problem, which requires a complicated physical model to solve. This paper has proposed a simple method to compute the synergetic influence of inhomogeneous conductivity and the space charge on the DC field distribution; through assigning bulk (interface) charge as functions of local material conductivity and field strength, the effect of inhomogeneous conductivity can be incorporated in Gauss' law and the space charge accumulation can be further included in the equation. The effect of space (surface) charge on electric field distribution in DC apparatus with temperature gradient as well as multiple-layer dielectrics is simulated through the proposed method, which shows that the method has offered a convenient approach for investigating the effect of charge accumulation on DC field distribution under various insulation structure and working conditions.
| INTRODUCTIONRecently, the problem of charge accumulation in material bulk or on the surface has attracted wide attention in terms of the insulation issue in High Voltage Direct Current (HVDC) apparatus [1-3]. For both surface and bulk insulation, the presence of accumulated charges can bring about considerable distortion to electric field distribution and thus influence the insulation performance of the material [4,5]. For surface insulation such as epoxy insulators in SF 6 gas insulated applications, the presence of surface charge is believed to be a key factor leading to insulation failure of the insulator [6-8]; for solid internal insulation such as HVDC extruded cable, the space charge accumulated in the material is also regarded rather unfavourable for its long-term insulation property [9-12]. Thus, numerous research studies have been performed trying to suppress space or surface charge accumulation during the life span of HVDC equipment operation [13][14][15].However, the quantitative study on the effect of charge accumulation on the material insulation property is relatively inadequate [16][17][18] because the electric field distribution is hard to be computed in the presence of space/surface charge under many occasions. Usually for DC field, the current continuity law is applied considering the effect of material conductivity σ on the distribution of electric field E. Particularly, if the material is of inhomogeneous conductivity σ, as in the caseThis is an open access article under the te...