【摘要】 运用分形理论 ,提出广义维数最小二乘法的计算公式 ,对实测的时域信号进行了广义维数计算 ,从广义维数中获取盒维数、信息维数、关联维数以及敏感维数。对故障样本进行功率谱分析、广义维数计算分析 ,提出谱能量与分形维数的关系 ,为用分形维数来分析故障的强度提供了依据。运用广义维数序列和数学方法相结合提出分形诊断分类方法 ,并通过实例诊断、识别故障及其故障程度 ,说明该方法具有较好的实效性。更多还原

【Abstract】 The multi-fractals theory is applied for proposing the calculation formula of generalized dimension least square method. The generalized dimension of measured time domain signal is calculated,The sequence value of generalized dimension is obtained, and the box dimension, the information dimension, the correlation dimension and the sensitive dimension is got from generalized dimension. The power spectrum of the fault sample is analyzed and the generalized dimension is calculated.The relationship between spectrum energy and fractal is found out. These provide the basis of analyzing the fault strength by fractal dimension.In addition, combined generalized dimension sequence value and mathematical method, the fractal diagnosis classification is proposed.Good results to diagnose, identify and classify the measuring coupling fault signal are achieved by the utilizing theorem of the generalized dimension maximum correlation coefficient and the generalized dimension sequence signal value. Through an example of steam-electric generating set fault diagnosis, it explains that the fractal dimensions abstracted from the generalized dimension can better diagnose, identify the fault and its degree. The method of fractal diagnosis and classification has better actual effective property.更多还原