This paper presents a new generic approach for developing a Jacobian matrix for use with the optimization unit in real-time energy management systems (EMS) for unbalanced smart distribution systems. The proposed formulation can replace approximated calculations for real-time optimal power flow in an optimization unit while providing greater accuracy and requiring less computational time, which is critical for real-time EMS. The effectiveness and robustness of the proposed approach have been tested through simulations with different distribution networks. The simulation results demonstrate a significant reduction in the computational time with the new proposed formulation. Moreover, the results demonstrate the scalability of the proposed approach as the reduction in the computational time is more significant for large practical systems. The proposed approach is characterized by evaluating the scalability and low computational time; thus, it can be used by grid operators in real-time energy management applications for large-scale practical distribution systems. | Optimization unit for real-time applications in unbalanced smart distribution networks
