The deterministic optimization method for solving the ionized field distribution and the corona loss of the high voltage dc (HVDC) transmission lines is only applicable to the unipolar lines and the bipolar lines with symmetric parameters, due to that the solution is sensitive to the initial guess for the ion concentration on the conductor surface and there is no appropriate empirical formula for this parameter. Therefore, the continuous Tabu search (CTS) method is adopted to remedy this problem, which is able to achieve the global minimum without relying on the initial guess. The Haar wavelet method is adopted to integrate the system of equations, which is more efficient and suitable for the ion distribution with abrupt variations than the Runge-Kutta method. The corona loss of the double-circuit HVDC transmission lines with different values of vertical inter-spacing is calculated by the CTS method. The results show that potential economical benefits can be obtained from the double-circuit lines due to that its corona loss can be much smaller than the single-circuit lines by reducing the vertical inter-spacing between the two circuits.
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