Embedded Runge-Kutta methods for field-circuit coupled problems with switching elements
Embedded Runge-Kutta methods for field-circuit coupled problems with switching elements
复制标题
用于解决开关元件场电路耦合问题的嵌入式龙格-库塔方法
DOI：
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发表时间：
2005
影响因子：
2.1
通讯作者：
T. Weiland
中科院分区：
文献类型：
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作者：
G. Benderskaya;M. Clemens;H. de Gersem;T. Weiland
提出了一种用有限积分法离散化的三维修正磁矢势公式与含有开关的电路之间的耦合。开关元件的状态的变化被引入作为电路拓扑的变化，这导致描述耦合场路问题的微分代数系统的结构变化。这种瞬态配方集成嵌入式龙格库塔方法。一旦检测到状态变化，相应的龙格-库塔步骤的评估阶段值被用来建立插值多项式，其根近似切换时刻。
The coupling between a three-dimensional modified magnetic vector potential formulation discretized by the finite integration technique and an electrical circuit containing switches is presented. The changes in the states of the switching elements are introduced as changes in the topology of the circuit which results in a structural change of the differential-algebraic system describing the coupled field-circuit problem. This transient formulation is integrated by embedded Runge-Kutta methods. As soon as state changes are detected, the evaluated stage values of the corresponding Runge-Kutta step are used to build the interpolation polynomial with its roots approximating the switching time instants.