An Efficient and Accurate Time Step Control Method for Power Device Transient Simulation Utilizing Dominant Time Constant Approximation
An Efficient and Accurate Time Step Control Method for Power Device Transient Simulation Utilizing Dominant Time Constant Approximation
复制标题
一种利用主导时间常数近似的功率器件瞬态仿真高效准确的时间步长控制方法
DOI：
10.1109/tcad.2018.2889673
复制
发表时间：
2020
影响因子：
2.9
通讯作者：
Kobayashi Kazutoshi
中科院分区：
文献类型：
--
作者：
Kumashiro Shigetaka;Kamei Tatsuya;Hiroki Akira;Kobayashi Kazutoshi
提出了功率器件瞬态仿真中时间步长控制的精确度量。该度量包含从线性化设备状态方程的矩阵指数项导出的整个设备结构的主要时间常数的指数项。与局部截断误差的二阶近似的传统度量相比，所提出的度量允许更大的时间步长宽度。它关注瞬态响应的主导部分，并且其截断误差近似更加准确。在瞬态器件仿真中，分别采用盒积分法和后向欧拉法进行空间和时间离散。离散非线性器件方程通过牛顿迭代法求解，牛顿迭代法的初始猜测是通过使用主时间常数的线性化器件状态方程的近似解给出的。使用该方法对硅功率 DMOSFET 进行瞬态仿真的总计算时间比传统方法减少了 27%，同时保持了主要瞬态响应的电流精度。
An accurate metric for the time step control in the power device transient simulation is proposed. This metric contains an exponential term of the dominant time constant of the whole device structure derived from the matrix exponential term of the linearized device state equation. The proposed metric allows larger time step widths than the conventional metric of second order approximation of the local truncation error. It focuses on the dominant part of the transient response and its truncation error approximation is more accurate. In the transient device simulation, box integration method and backward Euler method are used for spatial and temporal discretization, respectively. The discretized nonlinear device equations are solved by using Newton iteration whose initial guess is given by the approximated solution of the linearized device state equation by using the dominant time constant. Total calculation time of the transient simulation of a silicon power DMOSFET by using the proposed method decreases down to 27% of that by the conventional method with keeping the current accuracy of the dominant transient response.