Distributed transmission-distribution coordinated voltage control: A bidirectional Anderson acceleration based master slave splitting approach

• A transmission and distribution cooperative voltage regulation framework is proposed. • A convergence improvement method combining data-driven and bidirectional Anderson acceleration is proposed. • A convex model of distributed transmission-distribution coordination is proposed. • A convergence index for transmission and distribution collaborative optimization problem is proposed and verified. As the penetration of renewable energy increases, the voltages in power systems frequently change and fluctuate significantly. A tractable coordinated voltage control model for transmission and distribution systems is formulated to make efficient control decisions and realize distributed transmission-distribution coordinated voltage control, which avoids nonlinear and non-convex terms. Subsequently, using the data-driven bidirectional Anderson acceleration method, this study proposes an improved generalized master–slave-splitting method (G-MSSM), which is employed to solve the proposed coordinated voltage control model. Finally, the convergence index is introduced and derived with a rigid mathematical proof that can quantitatively evaluate the convergence efficiency of the proposed G-MSSM. Numerical simulations illustrate the effectiveness and scalability of the proposed approach in multiple scenarios with high-penetration renewable energy. The proposed approach achieves higher computational efficiency and better convergence performance than several representative approaches in the state-of-the-art literature.