论文标题
分析模型的磁滞循环近似及其在扫描隧道显微镜中的应用
Analytical model for the approximation of hysteresis loop and its application to the scanning tunneling microscope
论文作者
论文摘要
建议在其各种实用的磁滞回路的基础上进行新的模型描述和类型分类。对循环近似函数进行了分析;该模型的参数和特征是定义的 - 凝聚力,滞后极化,磁滞值,自发极化,诱导的压电剂,饱和值,每周循环能量的滞后损失。结果表明,对于某些滞后环类型的压电驱动器,热量产生没有差异。计算了谐波线性化系数,并推导了非线性磁滞元件的和谐线性转移函数。定义了具有最小相移的磁滞回路类型。该模型的平均相对近似误差已被评估为实际磁滞回路的1.5%-6%。引入了通过实验数据定义模型参数的过程。给出了在扫描隧道显微镜的扫描单元中使用结果以补偿栅栏失真的示例。
A new model description and type classification carried out on its base of a wide variety of practical hysteresis loops are suggested. An analysis of the loop approximating function was carried out; the parameters and characteristics of the model were defined - coersitivity, remanent polarization, value of hysteresis, spontaneous polarization, induced piezocoefficients, value of saturation, hysteresis losses of energy per cycle. It was shown that with piezomanipulators of certain hysteresis loop types, there is no difference in heat production. The harmonic linearization coefficients were calculated, and the harmonically linearized transfer function of a nonlinear hysteresis element was deduced. The hysteresis loop type was defined that possesses minimum phase shift. The average relative approximation error of the model has been evaluated as 1.5%-6% for real hysteresis loops. A procedure for definition of the model parameters by experimental data is introduced. Examples of using the results in a scan unit of a scanning tunneling microscope for compensation of raster distortion are given.