Collaborative optimization strategy for flexible distribution areas based on comprehensive control devices

To address the problems such as increasing line losses, voltage limit violations, and three-phase unbalances caused by the integration of high-penetration distributed photovoltaic (PV) into distribution areas, this paper proposes a collaborative optimization strategy based on comprehensive control devices. By establishing a multi-area distribution network optimization model that considers the operational costs of the control devices, distribution network losses, three-phase voltage unbalance degree, and voltage deviation penalties, the strategy employs symmetric semi-definite programming (SDP) combined with convex relaxation techniques to resolve non-convex and nonlinear problems, achieving coordinated optimization of comprehensive control devices and distribution areas. Finally, simulation results verify that the proposed strategy can ensure efficient PV accommodation and optimal economic performance of the comprehensive control devices, while significantly reducing distribution network losses and improving voltage deviation and three-phase unbalance degree.