Computing the boundary of the power flow feasible region based on the hybrid method

This paper presents a hybrid method for computing the boundary of the power flow feasible region, which is pertinent to static voltage stability analysis. The hybrid method is derived from the predictor-corrector framework and it converts the computation of boundary to an optimal problem, whose objective is to determine the minimum distance from an external point of the feasible region to the boundary. Attributing to this conversion, the dimension of the hybrid method can be reduced compared with the original predictor-corrector method. Except for benefits to visualization of boundary in two dimension spaces, the method is a powerful tool for computing the closest boundary point related to current operating point in high dimension space, as well as the limit of equipment can be induced. Considering the possibility of concave topology on the boundary, a modification to the hybrid method is proposed to deal with this issue. Finally, some numerical simulations in two different systems illustrate that the hybrid method is reliable and effective in computation of the boundary of the power flow feasible region.