变压器励磁支路暂态的非线性RK方法

Nonlinear Runge Kutta Method Analysing Transient Magnetization Behavior of Transformer

将非线性显式ＲＫ 方法用于求解变压器励磁支路暂态过程．该方法具有Ｌ 稳定性．通过一个算例，将该方法与显式、隐式、半隐式ＲＫ 方法进行了比较．结果表明，该方法不仅具有较高的数值稳定性，而且避免了迭代运算或Ｊａｃｏｂｉ 矩阵的求解．相对于隐式方法。

Transient network with nonlinear elements is analysed for stability and speed of the algorithm. Nonlinear explicit Runge Kutta method is applied to study the transient magnetization behavior of transformer. The method has left stability. It is compared with the explicit, implicit, semi explicit Runge Kutta methods by an example. Good numerical stability is achieved while avoiding iteration and solution of the Jacobi matrix. Calculation time is reduced in comparison with the implicit method.