| 变压器励磁支路暂态的非线性RK方法 |
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| 引用本文： | 王晓彤,范越,施围. 变压器励磁支路暂态的非线性RK方法[J]. 西安交通大学学报, 1999, 33(12): 9-12 |
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| 作者姓名： | 王晓彤 范越 施围 |
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| 作者单位： | 西安交通大学,710049,西安 |
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| 摘 要： | 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，又可以大大缩短计算时间。
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| 关 键 词： | 励磁支路 非线性RK方法 变压器 暂态过程 |
Nonlinear Runge-Kutta Method Analysing Transient Magnetization Behavior of Transformer |
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| Wang Xiaotong,Fan Yue,Shi Wei. Nonlinear Runge-Kutta Method Analysing Transient Magnetization Behavior of Transformer[J]. Journal of Xi'an Jiaotong University, 1999, 33(12): 9-12 |
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| Authors: | Wang Xiaotong Fan Yue Shi Wei |
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| Abstract: | 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. |
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| Keywords: | magnetizing branches nonlinear Runge Kutta method numerical stability |
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