变压器铁芯μH曲线的参数优化

A Double Exponential Function Fitting Algorithm for Optimize Parameter of μH Curve

磁路饱和是电力系统中的普遍现象,波形畸变、自感系数下降、测量误差增大等现象都与磁路饱和有关。建立描述磁路饱和现象的数学模型,揭示出磁路饱和现象中各种物理量的数学关系,将对电力系统的安全稳定运行带来帮助。基于双指数函数通过单纯形法计算求解,从而得到相对磁导率关于磁场强度的函数关系。运用该模型我们可以计算变压器铁芯内磁通的波形和变压器副边电压波形。这对研究磁路饱和现象提供了一种参数优化的计算方法。

Saturable magnetic circuit is a common phenomenon in power system. It can lead to waveform distortion, coefficient of self- inductance decrease and measurement error increase. So establishing a mathematical model for saturable magnetic circuit and revealing the mathematical relationships in saturable phenomenon. It is helpful to reliable and safe operation of power system. This paper base on double expontential function fitting algorithm and simplex algorithm to establish the function relationship between rela- tive permeability and magnetic field intensity. Applying for the model, we can obtain the waveform of magnetic flux in transformer core and transformer voltage waveform. The research has certain significance in the abstract and foreground in the application for the study of saturable phenomenon.