| Fig. 1. Branch Modelling
It is expected that the effects of all the controllable parameters are represented by the auxiliary current injections at the two ends shown in Fig. 1 (b). Combining Fig. 1(a) with Fig. 1 (b), the auxiliary parametric complex current injections are obtained as
 (1)
where  . Equation (1) exhibits that  and  are the functions of series controllable parameters and complex voltages at both ends of the line.
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