基于混合高斯模型的无相位线路阻抗参数估计方法  

Gaussian Mixture Model-based Method for Estimating Impedance Parameters of Phaseless Transmission Lines

作　　者：王可淇 钟俊[1] 赵子涵 WANG Keqi;ZHONG Jun;ZHAO Zihan(School of Electrical Engineering,Sichuan University,Chengdu 610065,China;State Grid Sichuan Electric Power Company Dispatching Control Center,Chengdu 610041,China)

机构地区：[1]四川大学电气工程学院,四川成都610065 [2]国网四川省电力公司调度控制中心,四川成都610041

出　　处：《电工技术》2024年第8期130-134,共5页Electric Engineering

摘　　要：输电线路阻抗参数的准确估计是配电网可靠分析的基础。已有方法估计线路阻抗需要利用测量电压电流的相位信息,但当实测数据相位角缺失时,已有方法将失效。对此,提出了一种基于混合高斯模型的无相位线路阻抗参数估计方法,该方法仅需要线路两端的电压幅值、有功功率和无功功率的实测数据。首先由电力线路的潮流关系建立含误差的线路阻抗估计模型,然后考虑到测量环境存在噪声干扰,通过引入双隐变量,将含误差的线路阻抗估计模型转化为混合高斯模型,得到线路阻抗的概率分布,并利用最大后验估计得到线路阻抗参数估计值,最后通过仿真验证所提方法能有效估计线路阻抗的大小,为相位缺失场景下的线路阻抗估计提供一个新策略。The accurate estimation of impedance parameters of power transmission lines is the foundation for reliable analysis of distribution networks.Existing methods for estimating line impedance require the utilization of phase information from measured voltage and current.However,these methods become ineffective when the phase angle of the measured data is missing.Therefore,this paper proposes a phaseless line impedance parameter estimation method based on a Gaussian mixture model,which only requires the measured data of voltage magnitude,active power,and reactive power at both ends of the line.First an error-inclusive line impedance estimation model is established based on power flow relationships of the power transmission line.Then considering the noise interference in the measurement environment,a Gaussian mixture model is established by introducing dual hidden variables,transforming the error-inclusive line impedance estimation model into a Gaussian mixture model.The probability distribution of the line impedance is obtained,and the estimation values of the line impedance parameters are obtained using the maximum a posteriori estimation.Finally,through simulations,it is demonstrated that the proposed method can effectively estimate the magnitude of the line impedance,providing a new strategy for line impedance estimation in scenarios with missing phase information.

关 键 词：电力线路阻抗 混合高斯模型 实测数据相位角缺失 噪声误差 最大后验估计 

分 类 号：TM711[电气工程—电力系统及自动化]