于学良, 方立华, 曹永吉, 张恒旭, 李邵, 李常刚. 基于量测和热平衡方程的输电线路温度分段实时估计[J]. 电力工程技术, 2024, 43(6): 223-234. DOI: 10.12158/j.2096-3203.2024.06.022
引用本文: 于学良, 方立华, 曹永吉, 张恒旭, 李邵, 李常刚. 基于量测和热平衡方程的输电线路温度分段实时估计[J]. 电力工程技术, 2024, 43(6): 223-234. DOI: 10.12158/j.2096-3203.2024.06.022
YU Xueliang, FANG Lihua, CAO Yongji, ZHANG Hengxu, LI Shao, LI Changgang. Real-time segmented temperature estimation of transmission lines based on measurement and heat balance equation[J]. Electric Power Engineering Technology, 2024, 43(6): 223-234. DOI: 10.12158/j.2096-3203.2024.06.022
Citation: YU Xueliang, FANG Lihua, CAO Yongji, ZHANG Hengxu, LI Shao, LI Changgang. Real-time segmented temperature estimation of transmission lines based on measurement and heat balance equation[J]. Electric Power Engineering Technology, 2024, 43(6): 223-234. DOI: 10.12158/j.2096-3203.2024.06.022

基于量测和热平衡方程的输电线路温度分段实时估计

Real-time segmented temperature estimation of transmission lines based on measurement and heat balance equation

  • 摘要: 输电线路温度是评价线路输送能力的重要指标,可作为线路动态增容的依据,指导电网的实时调度决策。基于量测量和热平衡方程,文中提出一种输电线路温度实时估计模型,将线路温度作为状态量,引入线路动态热平衡方程作为伪量测量。将热平衡方程离散化处理,进而利用交替解法和联立解法求解微分-代数方程组。考虑到长输电线路沿线气象条件的复杂性,将线路分段后引入虚拟节点,利用二端口网络方程计算虚拟节点的量测量,提出一种更为精细化的线路温度分段估计方法。采用改进的IEEE 5节点、IEEE 39节点算例以及实际线路验证了所提算法的有效性。结果表明,所提算法能够适应多种运行场景,实现线路温度的快速准确估计;考虑线路分段后,所提算法能够准确估计各段线路的实时温度轨迹,实用性强。

     

    Abstract: Transmission line temperature is an important indicator to evaluate the capacity of transmission lines, which can be used as the basis for dynamic capacity expansion and guide the real-time scheduling decision of power grid. Based on the measurement and heat balance equations, a real-time estimation model of transmission line temperature is proposed. The line temperature is taken as a state variable and the dynamic heat balance equation is introduced as a pseudo measurement. The heat balance equation is discretized, and then the alternating approach and simultaneous approach are used to solve the differential-algebraic equations. Considering the complexity of meteorological condition along the long transmission line, a more refined method for segmented temperature estimation of transmission lines is proposed by introducing virtual nodes into the segmented transmission lines. A two-port network equation is used to calculate the measurement of virtual nodes. The effectiveness of the proposed algorithm is verified by the improved IEEE 5-bus, IEEE 39-bus systems and a real line. The results show that the proposed algorithm can adapt to various scenarios and estimate line temperatures quickly. With the segmentation of lines, it is possible to accurately estimate the real-time temperature trajectory of each line section, which shows strong practicality.

     

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