基于内点法参数辨识的架空导线径向热路模型  

Radial Thermal Circuit Model of Overhead Conductors Based on Parameter Identification with Interior Point Method

作　　者：冯凯[1] 应展烽[1] 张旭东[1] 柳亚芳[1] 吴军基[1] 

机构地区：[1]南京理工大学能源与动力工程学院,南京210094

出　　处：《高电压技术》2015年第7期2321-2326,共6页High Voltage Engineering

基　　金：国家自然科学基金(51405235);江苏省普通高校研究生科研创新计划项目(KYLX_0370);江苏省产学研联合创新研究项目(BY2013038);江苏省电力公司创新科技项目(2011LY226090425)~~

摘　　要：为克服架空导线径向热参数难以理论计算的问题,基于径向导热时间常数及导线载流温升变化率两类热路参数,建立了状态方程形式的导线径向热路模型。利用模型响应构造了热路参数辨识的非线性目标函数,通过内点法求得参数辨识最优解。根据辨识结果建立了模型参数与载流量函数关系的拟合多项式。设计了架空导线径向温升实验平台,在自然对流条件下对LGJ–400导线温升过程进行了实测。研究结果表明:架空导线径向温差及各层导线载流温升变化率均随载流量的提高呈增大趋势,径向导热时间常数变化不呈明显单调性规律;所提模型的最大平均相对误差为2.12%,IEEE标准计算模型最大平均相对误差高达9.19%。故径向热路模型具有更高计算精度,可用于估计自然对流条件下的导线径向温度分布。To overcome the difficulty in calculating the radial thermal parameters in theory of overhead conductors, we proposed a radial thermal circuit model in form of state equation by using radial thermal conduction time constants and temperature varying rates caused by ampacity. Firstly, we constructed the nonlinear object function for thermal circuit parameter identification by using model response, of which the optimal solution is obtained by interior point method. Secondly, polynomial relationships between ampacity and model parameters are fitted based on the identification result. Finally, we set up a radial temperature experimental platform and measured the temperature rise process of LGJ-400 conductor under natural convection condition. The research results show that the radial temperature distribution in overhead conductors and the temperatures varying rates in each conductor layer rise with increasing ampacity, while the variation of radial thermal conduction time constants is non-monotonicity. Moreover, the maximum average relative error of the proposed model is 2.12% while the maximum average relative error of IEEE standard model can reach 9.19%. It can be concluded that the radial thermal circuit model is more accurate and it can be used to estimate radial temperature distribution of conductors under natural convection conditions.

关 键 词：架空导线 径向温度 热路模型 参数辨识 内点法 热平衡方程 

分 类 号：TM751[电气工程—电力系统及自动化]