AC-constrained optimal power flow considering wind power generation uncertainty in radial power networks

Wind power generation uncertainty has imposed great challenge on power systems' operation and should be considered when making an operation strategy. In this paper, we focus on optimal power flow (OPF) problem in radial power networks while considering wind power generation uncertainty. To cope with this uncertainty, the stochastic AC-constrained OPF (ACOPF) problem considering both continuous and discrete devices is formulated based on our previous work. The second order cone relaxation is employed to relax the original mixed integer nonconvex nonlinear programming (MINNLP) problem to a mixed integer second order cone programming (MISOCP) problem which can be solved by commercial solvers with high computation efficiency. The modified IEEE 33 bus distribution system is studied in this paper which validate the effectiveness of the proposed model.

1 Introduction

Power system can be divided into mesh power networks and radial power networks according to their structures. In the mesh power networks, there's at least a pair of node that has at least two connected paths, while there's only one connected path for any pair of node in radial power networks. In practical power systems, mesh power networks and radial power networks generally correspond to transmission power networks and distribution or active distribution networks (ADN) separately [1]. Optimal power flow (OPF) determines an operation strategy of power systems to minimize the operation cost or power loss. In this paper, we focus on the OPF problem of in radial power networks.