如何避免互联电网中的Braess悖论现象  

How to Avoid Braess Paradox in Interconnected Power Grid

作　　者：张少泽 邹艳丽[1,2] Shaoze ZHANG;Yanli ZOU(Guangxi Key Laboratory of Brain-inspired Computing and Intelligent Chips,Guangxi Normal University,Guilin,Guangxi 541004,China;Guangxi Universities Key Laboratory of Nonlinear Circuit and Optical Communication,Guangxi Normal University,Guilin,Guangxi 541004,China;College of Computer Science,Guangdong University of Science and Technology,Dongguan,Guangdong 523083,China)

机构地区：[1]广西类脑计算与智能芯片重点实验室,广西师范大学,广西桂林541004 [2]广西高校非线性电路与光通信重点实验室,广西师范大学,广西桂林541004 [3]广东科技学院计算机学院,广东东莞523083

出　　处：《计算物理》2024年第5期680-688,共9页Chinese Journal of Computational Physics

基　　金：国家自然科学基金(12162005);广西创新驱动发展专项(桂科AA21077015);广东科技学院自然科学项目(GKY-2022KYQNK-4,GKY-2023KYYBK-6)资助。

摘　　要：为了探究如何在互联电网中增加传输线路时避免发生Braess悖论现象,本文采用二阶类Kuramoto相振子模型对电网进行动力学建模。分别考虑在互联电网子网内和子网间增加传输线路,探究互联电网发生Braess悖论现象的概率并分析其原因。研究表明:互联电网发生Braess悖论现象的概率与网间传输功率有关,当网间的功率传输达到某一临界值时,在互联电网的受电子网内及子网间增加传输线路,互联电网发生Braess悖论现象的概率降低到接近于零,从而避免发生Braess悖论现象。In order to explore how to avoid Braess paradox when adding transmission lines in interconnected power grid,this study uses the second order Kuramoto-like model to model the dynamics of the power grid,and connects the subnets through the largest nodes to construct interconnected power grid.When there is power transmission between the two subnets,consider adding transmission lines inside and between subnets to explore the probability of Braess paradox in interconnected power grid and analyze its reasons.The results show that the probability of Braess paradox is related to the transmission power between the subnets.When the power between subnets reaches a critical value,adding transmission lines in the power receiving subnet or between two subnets,the probability of Braess paradox in interconnected power grid will be reduced to nearly zero.Therefore,the Braess paradox phenomenon should be avoided.The reasons for this phenomenon are analyzed in this paper.

关 键 词：互联电网 BRAESS悖论 同步性能 动力学 

分 类 号：TM711[电气工程—电力系统及自动化]