In this paper, based on an alternating direction method of multipliers (ADMM), a novel distributed algorithm is proposed to address the economic dispatch problem (EDP) in islanded microgrids. Unlike most of the existing studies that investigate the EDP with quadratic cost functions, the algorithm proposed in this paper is able to solve the EDP with general convex cost functions. Moreover, by using the center-free algorithm and the projection method, the traditional centralized ADMM is extended to the distributed implementation framework, and a fully distributed solution to the EDP is obtained. Furthermore, the proposed algorithm can deal with both equality and inequality constraints in the EDP, and the supply–demand balance can be guaranteed at any time provided that the sum of initial power outputs is equal to the total demand. The convergence property of the proposed algorithm is strictly proved. Finally, some examples are provided to further demonstrate the effectiveness of the proposed algorithm.

中文翻译：

---

基于ADMM的岛上微电网经济调度分布式算法

本文基于乘数交替方向法（ADMM），提出了一种新的分布式算法来解决孤岛微电网中的经济调度问题（EDP）。与大多数研究具有二次成本函数的EDP的现有研究不同，本文提出的算法能够解决具有一般凸成本函数的EDP。此外，通过使用无中心算法和投影方法，将传统的集中式ADMM扩展到分布式实现框架，并获得了针对EDP的完全分布式解决方案。此外，提出的算法可以处理EDP中的等式和不等式约束，并且只要初始功率输出的总和等于总需求，就可以随时保证供需平衡。严格证明了所提算法的收敛性。最后，提供一些示例以进一步证明所提出算法的有效性。