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如何避免互联电网中的Braess悖论现象

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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.
How to Avoid Braess Paradox in Interconnected Power Grid
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.

interconnected power gridBraess paradoxsynchronization performancedynamics

张少泽、邹艳丽

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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

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

广东科技学院计算机学院,广东 东莞 523083

互联电网 Braess悖论 同步性能 动力学

国家自然科学基金广西创新驱动发展专项广东科技学院自然科学项目广东科技学院自然科学项目

12162005桂科AA21077015GKY-2022KYQNK-4GKY-2023KYYBK-6

2024

计算物理
中国核学会

计算物理

CSTPCD北大核心
影响因子:0.366
ISSN:1001-246X
年,卷(期):2024.41(5)