An Improved ADMM-Based Distributed Optimal Operation Model of AC/DC Hybrid Distribution Network Considering Wind Power Uncertainties

Abstract

An increasing share of uncertain distributed generations is being integrated into the ac/dc hybrid distribution network (HDN) with the partitioning characteristic. In this article, we propose a distributed optimization framework where the exchange power is regarded as coupling variables being the consensus on both sides of voltage source converters between ac and dc subnetworks. An improved alternating direction method of multipliers (ADMM) algorithm with the varying penalty parameter is applied to solve the proposed distributed operation problem in ac/dc HDN. In each ac or dc subnetwork, a two-stage distributionally robust optimization (DRO) model for optimal operation is formulated considering wind power uncertainties addressed by 1-norm and ∞-norm based data-driven methods. The DRO model is solved by the column and constraint generation algorithm, where the polyhedral-based linearization method is introduced to approximate the second-order cone power flow constraints with a series of linear constraints to improve the computational speed. Numerical results based on a real-world 152-bus system including three ac subnetworks and two dc subnetworks validate the effectiveness of the proposed method.