基于模糊次梯度算法的分布式智能电网实时定价策略  

Distributed Real-time Pricing Strategy for Smart Grid Based on Fuzzy Subgradient Algorithm

作　　者：张莉[1] 秦远哲 崔俊峰[1] 刘松涛[3] ZHANG Li;QIN Yuanzhe;CUI Junfeng;LIU Songtao(Faculty of Mathematics and Physics,Huaiyin Institute of Technology,Huai’an Jiangsu 223003,China;The University of Queensland,Brisbane 4702,Australia;Jiangsu Provincial Hydrology and Water Resources Survey Bureau Huai’an Branch,Huai’an Jiangsu 223001)

机构地区：[1]淮阴工学院数理学院,江苏淮安223003 [2]昆士兰大学商业经济与法律学院,澳大利亚布里斯班4702 [3]江苏省水文水资源勘测局淮安分局,江苏淮安223001

出　　处：《淮阴工学院学报》2024年第5期97-104,共8页Journal of Huaiyin Institute of Technology

基　　金：国家自然科学基金项目“基于需求侧管理的实时电价的社会福利最大化方法研究”(72071130)。

摘　　要：实时定价是智能电网需要研究的关键问题之一,社会福利最大化方法是研究分布式智能电网实时定价的重要方法。从电网系统的整体效益出发,兼顾供需双方利益,建立社会福利最大化的定价模型。在模型求解中,首先,基于对偶理论,将所建模型的求解转化为其对偶问题的求解;其次,求解对偶问题,针对次梯度算法易出现振荡、求解效率低的问题,利用历史次梯度信息对传统次梯度算法进行改进,且基于模糊理论,采用隶属度函数确定迭代中历史次梯度的权重系数;最后,给出一个新的分布式实时定价算法。求解过程中,通过用电数据信息和供电数据信息的实时交互,获得实时电价,以及所有用户的用电量、供电商的供电量。数值仿真验证了所建定价模型的合理性以及给出的分布式算法的有效性。Real-time pricing is one of the key issues in smart grid research,and social welfare maximi⁃zation is an important method to study distributed real-time pricing.Taking into account the overall benefits of the power grid system and balancing the interests of both supply and demand sides,a so⁃cial welfare maximization model is established.Firstly,based on the duality theory,the optimal solution of the model is obtained by solving its dual problem.Secondly,for dual problems,historical subgradient information is used to improve the traditional subgradient algorithm in order to address the problem of oscillation and low solving efficiency.And based on fuzzy theory,the weight coefficients of all history sub-gradients are achieved in the iteration process,following a simple member ship function.Finally,a novel distributed real-time pricing algorithm is proposed.The real-time electricity price,the power con⁃sumption of users and the power supply of the energy supplier can be obtained simultaneously through the real-time interaction of information between supply and demand.The rationality of the proposed pricing model and the effectiveness of the new distributed algorithm are verified by numerical simulation.

关 键 词：实时电价 对偶优化 模糊理论 次梯度算法 

分 类 号：TM73[电气工程—电力系统及自动化] O29[理学—应用数学]