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改进LSSVCM算法及其在故障诊断中的应用

沈艳1,瞿传柱1,张琦智2   

  1. 1. 哈尔滨工程大学理学院
    2. 哈尔滨工程大学逸夫楼
  • 收稿日期:2015-11-13 修回日期:2016-02-25 发布日期:2016-02-25
  • 通讯作者: 瞿传柱

Improved LSSVCM algorithm and its application in fault diagnosis

  • Received:2015-11-13 Revised:2016-02-25 Online:2016-02-25

摘要: 摘 要: 针对如何减少人为因素对故障诊断的干扰,提出了一种基于二叉树结构的遗传算法改进可变惩罚因子的最小二乘支持向量分类机(BTGAVPF- LSSVCM)故障诊断方法。首先,针对为减少支持向量机惩罚因子选取受研究人员经验影响的特点,建立可变惩罚因子的支持向量分类机(VPF-SVCM),并证明了算法的对偶问题。其次,针对支持向量机不易求解的问题,利用最小二乘法求解VPF-SVM,提出VPF-LSSVCM算法,并推导了其计算公式。然后,利用遗传算法搜索VPF-LSSVCM核参数,提出GAVPF-LSSVCM算法。最后,根据故障诊断实际问题,构建二叉树结构的GAVPF-LSSVCM算法。通过数值仿真实验结果表明,相比支持向量机穷举法,所提出的BTGAVPF-LSSVCM算法诊断精度提高了近14.3%。因此,在故障诊断准确率要求较高的领域中,BTGAVPF- LSSVCM模型是适用的。

关键词: 最小二乘支持向量机, 可变惩罚因子, 遗传算法, 二叉树结构, 故障诊断

Abstract: Abstract: On how to minimize the interference of man-made factors on fault diagnosis, BTGAVPF- LSSVM fault diagnosis method was proposed. First, in view of the penalty factor to reduce support vector machine (SVM) selection is influenced by the researchers experience, the characteristics of variable penalty factor to established (VPF-SVCM), and proved that the algorithm of the dual problem. Secondly, because of the support vector machine (SVM) is not easy to solve the problem, using the least squares solution of VPF-SVCM, VPF-LSSVCM algorithm was put forward. Then, by using the genetic algorithm search VPF–LSSVCM, GAVPF-LSSVCM algorithm was put forward. Finally, according to the practical problems of fault diagnosis, build GAVPF-LSSVM algorithm of binary tree structure. Numerical simulation experiment results showed that compared with the original SVM algorithm, the proposed BTGAVPF - LSSVCM algorithm diagnosis is increased by nearly 14.3%. Therefore, in the field of the fault diagnosis accuracy requirements higher, BTGAVPF LSSVCM model is applicable.

Key words: Least Squares Support Vector Machine(LSSVM), Variable penalty factor, Genetic algorithm(GA), Binary tree(BT) structure, Fault diagnosis

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