DC Power Flow for Power System Optimization

This letter presents a new formulation for the lossconcerned dc power flow that is suitable for optimization-based power system operation and planning. The proposed approach equivalently recasts a previously reported model considering non-uniform line flows. More specifically, motivated by industry standards, resistive losses of transmission lines are represented without relying on nodal voltage phase angles, unlike the original model. The proposed angle-free formulation is mathematically equivalent to the angle-based counterpart, i.e., identical line flows and losses are attained. Moreover, fewer variables and equations are required, which may be computationally appealing for power system optimization problems considering discrete decisions and multiple operating conditions.  Simulation results from several instances of an illustrative network-constrained unit commitment problem back these conclusions.