Optimal Distributed Control of Voltage Regulation in Rural Active Distribution Networks

In this paper, we develop an optimal distributed control model for voltage regulation in rural active distribution networks (RADN) with a high proportion of photovoltaic generation (PV). The developed model considers the branch power flow model and the photovoltaic inverter model of dynamic distribution networks. The primary objective is to minimize bus voltage deviation, reduce fluctuations of PV, and minimize network losses. We leverage the second-order cone relaxation technique to convexify the model. The disadvantages of centralized optimization control, such as high computational complexity and concerns regarding information privacy, could be avoided via the decomposition and coordination principle of the active distribution networks. The developed model highlights the distributed cooperative optimization control framework. To enhance the convergence performance of the algorithm, we propose an Alternating Direction Method of Multipliers (ADMM) based on the residual balance principle and relaxation techniques. The effectiveness of the proposed optimal distributed control model is validated through simulations of the IEEE 33 test system installed with PV.