Reducing the Number of Control Actions in the Discrete Reactive Optimal Power Flow
Keywords:Optimal Power Flow problem, complementarity constraints, discrete variables
This paper proposes a new formulation for Discrete Reactive Optimal Power Flow problems (DROPF) that aims at reducing the number of control actions of the problem. For such a purpose, complementarity constraints are introduced in the DROPF model so as to represent specific behaviors of voltage control devices in the electrical system. These behaviors involve the actuation of a control device only when the voltage magnitude limit of the bus controlled by such device is effectively reached. The proposed DROPF model extended with complementarity constraints for handling these specific behavior aspects of control actions is solved by the branch-and-bound method implemented by the free solver BONMIN. Numerical tests performed using the IEEE 14-, 30- and 118-bus electrical systems demonstrate the efficiency of the proposed model. The results are compared with the ones obtained by a classical DROPF.