摘要
三相不平衡主动配电网无功优化的非凸非线性给全局优化求解带来一定挑战。传统方法采用二阶锥松弛方法来凸化原始非凸优化模型,从而实现全局最优解的有效搜索。然而,传统所提方法忽略了三相配电网相间耦合关系,从而导致三相不平衡场景下与全局最优解之间存在误差。为此,文中提出适应三相不平衡主动配电网无功优化的二阶锥松弛模型,通过将原始优化模型映射到高维空间,松弛秩约束,并采用Sylvester准则形成相间二阶锥约束。最后,通过IEEE 33节点、IEEE 123节点和906节点算例仿真分析验证了所提方法的有效性。
The nonconvex and nonlinear property of the reactive power optimization for the three-phase unbalanced active distribution network brings certain challenges to the global optimization solution.The traditional method uses a second-order cone relaxation method to convexity the original nonconvex optimization model,so as to achieve an effective search for the global optimal solution.However,the traditional method ignores the phase-to-phase coupling relationship of the three-phase distribution network,which leads to errors between the three-phase unbalanced scenarios and the global optimal solution.Therefore,this paper proposes a second-order cone relaxation model adapting to the reactive power optimization for the three-phase unbalanced active distribution network.By mapping the original optimization models to a high-dimensional space,the rank constraint is relaxed and the Sylvester criterion is used to form a second-order cone constraint between phases.Finally,the effectiveness of the proposed method is verified by simulation analysis of the arithmetic cases of IEEE 33-bus,IEEE 123-bus and 906-bus.
作者
徐添锐
丁涛
李立
王康
迟方德
高虎成
XU Tianrui;DING Tao;LI Li;WANG Kang;CHI Fangde;GAO Hucheng(School of Electrical Engineering,Xi'an Jiaotong University,Xi'an 710049,China;State Grid Shaanxi Electric Power Company,Xi'an 710048,China)
出处
《电力系统自动化》
EI
CSCD
北大核心
2021年第24期81-88,共8页
Automation of Electric Power Systems
基金
国网陕西省电力公司新能源消纳科技专项(陕西电网关键断面识别和安全控制研究,SGSN0000TKJS2001711)
国家自然科学基金资助项目(51977166)
陕西省重点研发计划国际合作项目(2020KW-022)。
关键词
主动配电网
三相不平衡配电系统
二阶锥松弛
无功优化
分布式电源
active distribution network
three-phase unbalanced distribution system
second-order cone relaxation
reactive power optimization
distributed generator
