基于相量量测的电力系统谐波状态估计(I)——理论、模型与求解算法

Power System Harmonic State Estimation Based on Phasor Measurements(I) ——Theory、Model and Solution Algorithm

通过分析现有网络谐波分析理论的局限性与实践中所遇到的困难,提出了基于相量量测的电力系统谐波状态估计算法。选择节点电压作状态量,节点电压、支路电流与注入电流作量测量,建立了各种量测配置的量测方程以及谐波状态估计问题的数学模型。然后,通过总结谐波状态估计算法的基本特点与优化量测方程和母线的编号,提出了谐波状态估计的分层算法,大幅度降低了量测矩阵的维数。

By analyzing the limitation and difficulty in practice of existing network harmonic analysis theories, the paper presents a Phasor Measurements Based Power System Harmonic State Estimation (PSHSE) algorithm. Selecting node voltage phasors as state variables, node voltage pahsors、branch current phasors and injected current phasors as measurements variables, the paper establishes the measurement equations of different configuration and the mathematical model of PSHSE. By summarizing the characteristics of PSHSE and optimizing the number of measurement equations and buses, the paper proposes a hierarchical estimation approach and thus obviously decreases the dimension of measure matrix.