A Robust OPF Model with Consideration of Reactive Power and Voltage Magnitude

This paper proposes a linearized model for optimal power flow (OPF) that guarantees convergence. The model is based on a fully linearly-constrained electrical network, in which the power flow at the beginning and end of the branch is respectively formulated, and the difference between them is used to represent branch power loss. Compared with the traditional DCOPF methods, the linearized OPF model takes into account constraints on reactive power and nodal voltage, which reduces the gap with ACOPF in the aspects of operating cost, branch power flow and nodal voltage. To further enhance the accuracy of the linearized OPF model, an iterative-based warm start method is proposed, which is suitable for scenarios requiring higher precision for OPF calculation. Case studies demonstrate that the proposed linearized OPF method significantly improves the computational efficiency of DCOPF.