The reactive power compensation is of crucial importance for the safe and stable operation of ultra-high-voltage (UHV) transmission system. The icing and sag can lead to variation of circuit parameters of transmission line, but it is difficult to calculate the reactive power of transmission line with sag or icing by using circuit method. This paper presents a 3-D power transmission model of transmission line based on Poynting vector and finite difference frequency domain (FDFD) method to solve this problem. The method is applied to evaluate the reactive power of the 1000 kV transmission lines with sag and icing, and the influences caused by icing and sag are discussed. The proposed method for the reactive power calculation of transmission line would provide important reference for the reactive power compensation in the snow-hit areas.
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