We extend the method of constructing Bgcklund transformations for integrable equations through Riccati equations to the nonisospectral and the variable-coefficient equations. By taking nonisospectral and generalized v...We extend the method of constructing Bgcklund transformations for integrable equations through Riccati equations to the nonisospectral and the variable-coefficient equations. By taking nonisospectral and generalized variable-coefficient Korteweg-de Vries （KdV） equations as examples, their Backlund transformations are obtained under a more generalized constrain condition. In addition, the Lax pairs and infinite numbers of conservation laws of these equations are given. Es- pecially, some classical equations such as the cylindrical KdV equation are just the special cases of the constrain condition.展开更多
为了定量评估油浸式套管主绝缘受潮状态,建立了考虑直流电导的Cole-Cole双弛豫模型。对实验室制备的不同含水量(0.53%、1.78%、2.97%、3.89%、5.03%)的72.5 k V油浸式套管模型进行测试得到对应的频域介电谱,采用建立的Cole-Cole双弛豫...为了定量评估油浸式套管主绝缘受潮状态,建立了考虑直流电导的Cole-Cole双弛豫模型。对实验室制备的不同含水量(0.53%、1.78%、2.97%、3.89%、5.03%)的72.5 k V油浸式套管模型进行测试得到对应的频域介电谱,采用建立的Cole-Cole双弛豫模型对测试结果进行拟合解析,提取表征油浸式套管内绝缘含水量的特征参数,并拟合评估公式。考虑温度对现场测试结果的影响,提出了适用于现场的油浸式套管受潮状态评估方法。案例分析结果证明了所提方法的有效性。展开更多
基金Project supported by the Zhejiang Provincial Natural Science Foundation of China(Grant Nos.LQ12A01008 and LY12A01010)
文摘We extend the method of constructing Bgcklund transformations for integrable equations through Riccati equations to the nonisospectral and the variable-coefficient equations. By taking nonisospectral and generalized variable-coefficient Korteweg-de Vries （KdV） equations as examples, their Backlund transformations are obtained under a more generalized constrain condition. In addition, the Lax pairs and infinite numbers of conservation laws of these equations are given. Es- pecially, some classical equations such as the cylindrical KdV equation are just the special cases of the constrain condition.
文摘为了定量评估油浸式套管主绝缘受潮状态,建立了考虑直流电导的Cole-Cole双弛豫模型。对实验室制备的不同含水量(0.53%、1.78%、2.97%、3.89%、5.03%)的72.5 k V油浸式套管模型进行测试得到对应的频域介电谱,采用建立的Cole-Cole双弛豫模型对测试结果进行拟合解析,提取表征油浸式套管内绝缘含水量的特征参数,并拟合评估公式。考虑温度对现场测试结果的影响,提出了适用于现场的油浸式套管受潮状态评估方法。案例分析结果证明了所提方法的有效性。
