A Second-Order Cone Relaxation Based Method for Optimal Power Flow of Meshed Networks

Due to the stability consideration of power systems, the meshed topology of the network has become common. This paper proposes a second-order cone relaxation based method for the optimal power flow problem of meshed networks. The method imposes four sets of second-order cone relaxations to convexify the non-convex power flow constraints. Besides, the convex concave procedure with penalty has been implemented to prompt exact relaxations. Within few times of iterations, a feasible solution which is near the global optimum can be obtained. The superiority of the proposed approach has been tested over the case study.