Decomposition and coordination algorithm based on proximal center algorithm for reactive power optimization

A decomposition and coordination algorithm based on proximal center algorithm is proposed to enhance the computing speed and data transmission of centralized reactive power optimization of large-scale grid. The prox-function is adopted in the construction of smooth Lagrange function to avoid the inseparable augmented Lagrange function and the Lagrange multipliers are updated with the optimal gradient to greatly reduce the iteration times. The parameters used, such as the smoothing parameter, can be directly determined and only the boundary node information and the Lagrange multipliers are needed via data communication in the decomposition and coordination of reactive power optimization for the whole network. Case study shows that, the proposed algorithm improves the computing efficiency significantly, and compared with the decomposition and coordination algorithm based on auxiliary problem principle, it has faster convergence rate and higher computing efficiency.