Dynamic security region algorithm considering sample imbalance and misclassification cost

Zhengdong Ren, Wei Hu, Kun Ma, Yiwei Zhang, Wenliang Liu, J. Xiong
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Abstract

Due to the high dimension and redundant features of power system operating data, the disadvantages of manual analysis of power network security region gradually appear. SVM algorithm provides a new solution for mining the boundary of power grid security region. However, the data set of power system safety analysis has the problems of unbalanced samples and unequal misclassification costs. As a result, the traditional SVM algorithm, which takes classification accuracy as the optimization goal, cannot meet the requirements of power grid security region mining. Therefore, this paper solves the above problems by increasing the penalty for misclassification of unstable samples at the algorithmic level. In order to improve the classification accuracy and reduce the missed alarm rate, a dynamic security region algorithm is proposed, which takes into account the imbalance of samples and the difference of misclassification costs. Firstly, by introducing penalty parameters of sample misclassification cost, the influence of penalty parameters on classification accuracy and over-fitting index is analyzed. In order to reduce the rate of missing alarm, the SVM algorithm is modified by increasing the penalty for misclassification of unstable samples. In order to improve the classification accuracy of the algorithm, the concept of gray scale interval is introduced. By introducing grayscale interval into the output category probability, the classification results of samples outside the interval are almost reliable. Samples located within the interval can be further determined by time domain simulation. The balance between classification accuracy and missing alarm rate is realized. Finally, a CEPRI36 nodes system example is used to verify the effectiveness of the model and algorithm.
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考虑样本不平衡和误分类代价的动态安全区域算法
由于电力系统运行数据的高维性和冗余性,人工分析电网安全区域的弊端逐渐显现出来。支持向量机算法为挖掘电网安全区域边界提供了一种新的解决方案。然而,电力系统安全分析的数据集存在样本不平衡和误分类代价不等的问题。因此,以分类精度为优化目标的传统SVM算法无法满足电网安全区域挖掘的要求。因此,本文通过在算法层面增加对不稳定样本误分类的惩罚来解决上述问题。为了提高分类精度,降低漏报率,提出了一种考虑样本不平衡性和误分类代价差异的动态安全区域算法。首先,通过引入样本误分类代价惩罚参数,分析惩罚参数对分类精度和过拟合指标的影响;为了降低缺失报警率,对支持向量机算法进行了改进,增加了对不稳定样本误分类的惩罚。为了提高算法的分类精度,引入了灰度区间的概念。在输出的分类概率中引入灰度区间,使得区间外样本的分类结果几乎是可靠的。通过时域仿真可以进一步确定区间内的采样点。实现了分类准确率与漏报率之间的平衡。最后,以CEPRI36节点系统为例,验证了模型和算法的有效性。
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