基于高阶时域有限差分法与改进节点分析法混合求解复杂传输线网络瞬态响应
doi: 10.3724/SP.J.1146.2012.00160
The Solution of Transient Response for Complex Transmission Line Network by Hybrid Higher Order Finite Difference Time
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摘要: 该文提出一种用于求解复杂传输线网络瞬态响应的新型混合算法。通过构建混合单端口网络模型将传输线分布参数系统与集总电路分开，分别采用高阶FDTD(2,4)与改进节点电压分析法(MNA)分析传输线与端口电路瞬态响应。与以往暂态分析方法相比，高阶FDTD(2,4)的低数值色散特性，使得求解传输线时可采用粗网格离散，能方便处理电长度较长的传输线。同时直接采用电路分析方法求解端口电路，能够获取电路中各节点的电压电流波过程。通过几组数值实例验证了该方法的有效性及准确性。
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关键词:
- 传输线网络 /
- 非线性电路 /
- 瞬态响应 /
- 高阶FDTD(2,4) /
- 改进节点分析
Abstract: A novel hybrid higher order Finite Difference Time Domain (FDTD) (2,4) and Modified Nodal Analysis (MNA) method for transient response of transmission line network is proposed. By constructing a hybrid single-port network model, the distributed parameter systems are separated from lumped circuits, so the higher-order FDTD (2,4) and MNA can be used to analysis of transmission line and port circuit transient response respectively. Different from former methods, the higher-order FDTD (2,4) can utilize coarser cell sizes for calculation of electrically long transmission lines because of the lower numerical dispersion errors. At the same time, direct using of circuit analysis method to solve the port circuits, the voltage and current wave processes of each node in the circuit can be obtained. Several sets of numerical examples validate the proposed method has higher accuracy and efficiency. -
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