非线性电抗器的数学模型与等效电路

Mathematic Model and Equivalent Circuit of Nonlinear Reactors

提出了用幂函数和指数函数构造给定磁化曲线的拟合函数，详述了基子广义最小二乘法求拟合函数待定系数的方法，导出了可饱和电抗器的数学模型和等效电路。其计算过程简单、物理概念清晰、易于实现且拟合效果好，仿真结果证明了它的可行性。

The fitting functions of given B-H curve are constructed by power series and exponential function. The methods to get uncertained coefficients of the fitting functions on account of Generalized Least -Squares are described in details. The mathematic model and equivelent circuit of saturable reactor are derived in which the process of the calculating is easy,the physical concept is clear and the fitting effects are perfect. The feasibility of these methods has been proved by simulating results.