面向动态能源资源协调的分布式原始―对偶优化方法  

Distributed primal-dual algorithm for dynamic energy resources coordination

作　　者：汪诚博 石亚伟 冉亮 郑祖卿 李华青 WANG Cheng-bo;SHI Ya-wei;RAN Liang;ZHENG Zu-qing;LI Hua-qing(Westa College,Southwest University,Chongqing 400715,China;Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing,College of Electronic and Information Engineering,Southwest University,Chongqing 400715,China)

机构地区：[1]西南大学西塔学院,重庆400715 [2]西南大学电子信息工程学院非线性电路与智能信息处理重庆市重点实验室,重庆400715

出　　处：《控制理论与应用》2022年第10期1978-1984,共7页Control Theory & Applications

基　　金：Supported by the Fundamental Research Funds for the Central Universities (XDJK2019AC001);the Innovation Support Program for Chongqing Overseas Returnees (cx2019005);the National Natural Science Foundation of China (62173278)。

摘　　要：分布式优化在电力系统中发挥着越来越重要的作用.本文研究一类包含分布式发电机(DGs)和储能设备(ESs)的动态能源资源(DERs)协调问题,其目标是在满足局部耦合物理约束的前提下,使得总成本(包括发电成本,储能成本和环境成本)最小化.首先,本文将动态DERs协调问题等价转换为更具一般性的分布式复合约束优化模型,并利用拉格朗日对偶理论分析得到原问题的对偶形式.其次,提出一种新的分布式原对偶优化算法.特别地,所提算法使用局部常数步长,同时采用基于边的通信方式,这本质上区别于基于节点的一致性优化方法.最后,利用基于IEEE 39-bus系统的仿真实验进一步验证了所提算法在求解DERs协调问题上的有效性与可行性.Distributed optimization plays an increasingly significant role in power systems. This paper investigates a dynamic energy resources(DERs) coordination problem with distributed generations(DGs) and energy storages(ESs), the goal of which is to minimize the total cost including generation(or storage) and environmental cost meanwhile satisfying local and coupled physical constraints. Firstly, the dynamic DERs coordination problem is equivalently converted into a more generalized distributed composite constrained optimization form, and its dual setting is also constructed, through exploiting the Lagrangian duality. Then, a novel distributed primal dual algorithm is developed to deal with the considered problem. It is worth mentioning that the proposed algorithm has edge-based communicating phrase and local constant stepsizes, essentially different from some node-based consensus methods. Finally, the simulation setting based on the IEEE39-bus system are conducted to verify the effectiveness and feasibility of the proposed algorithm for solving the considered problem.

关 键 词：分布式优化 能源资源协调 智能电网 原始―对偶算法 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程] TM73[自动化与计算机技术—控制科学与工程]