基于SOCP的柔性直流牵引供电系统极限供电能力改进模型  

Enhancement Model of Ultimate Supply Capability for Flexible DC Traction Power Supply System Using SOCP

作　　者：张建 李笑倩[1] 魏应冬[1] 李占赫 陆超[1] ZHANG Jian;LI Xiaoqian;WEI Yingdong;LI Zhanhe;LU Chao(State Key Laboratory of Power System Operation and Control(Dept.of Electrical Engineering,Tsinghua University),Haidian District,Beijing 100084,China)

机构地区：[1]新型电力系统运行与控制全国重点实验室(清华大学电机工程与应用电子技术系),北京市海淀区100084

出　　处：《中国电机工程学报》2025年第3期813-821,I0001,共10页PROCEEDINGS OF THE CHINESE SOCIETY FOR ELECTRICAL ENGINEERING

基　　金：国家自然科学基金(面上项目)(52277190);北京市科委科技计划项目(Z221100007522001)。

摘　　要：近年来,柔性直流牵引供电系统获得了快速发展,因其在优化系统潮流、提升再生能量利用率等方面具有优势而逐渐受到广泛关注。极限供电能力(ultimate supply capacity,USC)是表征柔性直流牵引供电系统输出能力的指标,需要被精确评估。针对极限供电能力模型的非凸性以及求解上存在的问题,该文建立基于二阶锥规划(second order cone programming,SOCP)的柔性直流牵引供电系统极限供电能力模型。首先,利用支路潮流模型改进系统潮流建模方法并通过引入虚拟零电位和虚拟电流源实现钢轨电位建模;其次,利用泰勒展开方法对钢轨电位表达式进行线性化并利用SOCP松弛方法对极限供电能力模型进行松弛并将其转化为凸优化模型;最后,基于北京地铁13A线设计算例,验证所提模型的有效性。结果表明,利用改进模型获得了更为精确的极限供电能力计算结果,在数值上降低约1 MW,计算速度提高5.4倍,计算精度提高14%。所提方法对于柔性直流牵引供电系统规划设计具有重要意义。Recently,flexible DC traction power supply systems have developed rapidly and gained widespread attention for its advantages in optimizing system power flow and improving the utilization of regenerative energy.The ultimate supply capacity(USC),which directly reflects the system's output capability,requires precise evaluation.Given the non-convex nature of the USC model and the associated challenges in finding solutions,this study focuses a novel approach for establishing the USC model of the flexible DC traction power supply system based on second order cone programming(SOCP).First,the branch power flow model is employed to enhance the system's power flow modeling technique,while the rail potential modeling is achieved by introducing a virtual zero potential and a virtual current source.Subsequently,the Taylor expansion method is utilized to linearize the rail potential expression,and the SOCP relaxation method is employed to transform and relax the USC model into a convex optimization model.In conclusion,an case study is specifically devised using Beijing Metro Line 13 A to empirically verify the effectiveness of the proposed method.The findings indicate that through the utilization of the enhancement model described in this study,a significantly accurate result of the USC is achieved,resulting in a reduction of approximately 1 MW in the numerical value,as well as a 5.4-fold increase in the calculation speed.The method proposed in this paper holds profound significance for informing the meticulous planning and design stages of flexible DC traction power supply systems.

关 键 词：柔性直流牵引供电系统 极限供电能力 最优潮流 凸松弛 规划设计 

分 类 号：TM71[电气工程—电力系统及自动化]