Simple algorithm for calculating the total electric field of high-voltage direct current transmission lines

The basic equations of high-voltage direct current transmission lines´ ion current field are consisted of electric field Poisson equation, ion current density equation and the current continuity equation, hence, the key to calculating total electric field is to solve the non-linear differential equations, but the calculation process is very complicated. A simple algorithm is proposed to solve the problem in this study. First, the charge simulation method, an accurate numerical method, is employed to calculate the distribution of the electrical fields of a conductor. Then, the thought of emission charge is referred to calculate total electric field strength, this method does not need to adopt Deutsch hypothesis, and it avoids solving complex differential equations; hence, the calculation process can be greatly simplified. Finally, it is found that the calculated values agree satisfactorily with data measured on laboratory models and full-scale test lines.