Automation of Electric Power SystemsVol. 39, Issue 6, Pages: 53-59(2015)
作者机构:
济南大学自动化与电气工程学院,山东省,济南市,250022
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Published:2015
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OU Zhujian. [J]. Automation of electric power systems, 2015, 39(6): 53-59.
DOI:
OU Zhujian. [J]. Automation of electric power systems, 2015, 39(6): 53-59.DOI:
电网谐波状态估计中的可观性分析
摘要
谐波状态估计的一个难点
在于量测数目通常小于状态量数目
导致量测-状态方程欠定
系统不完全可观。针对该问题
进行了3个方面的研究:首先
结合数学分析和实际电网分析
从减少状态量的角度
实现方程由欠定变为恰定或超定
在保证系统状态完全可观的前提下
大大减少量测设备的数目;其次
将奇异值分解法(SVD)应用在系统可观部分的判断和计算中;然后
针对可观性分析中传统代数方法不足
结合矩阵条件数
提出一种实用的线性无关排序法
并将该方法用于指导不可观系统量测设备的调整和添加
实现系统良好的可观性。最后以菏泽-仿山220 kV-110 kV-35 kV配电系统为例
对SVD和线性无关排序法进行说明
验证了方法的可行性。
Abstract
The number of measurements is often smaller than that of states in harmonic state estimation (HSE). This is a difficulty in HSE
which makes the measurement-state equation underdetermined
and the system incompletely observable. In light of the problem
three aspects are studied. Firstly
the equation is turned from underdetermined to determined or even overdetermined by combining mathematical analysis and power system analysis
and proceeding from reducing the quantity of states. On the premise that system complete observability
is ensured
the number of measurement will be greatly reduced. Secondly
singular value decomposition (SVD) is applied to finding the observable islands and their calculation. Thirdly
by referring to the matrix condition number
a practical linearly independent ranking method is proposed. The method is applied to guiding the adjustment and increase of equipment to realize fine observability. Finally
the Heze-Fangshan 220 kV-110 kV-35 kV distribution system is presented to illustrate the application of SVD and the proposed method. This work is supported by National Natural Science Foundation of China (No. 11201179).