Journal of Terahertz Science and Electronic Information Technology , Volume. 20, Issue 8, 849(2022)
Modeling and simulation of non.smooth devices/circuits based on standard mathematical programming
Aiming at the non-smooth characteristics of the non-smooth devices/circuits, a modeling and simulation method based on the standard mathematical programming problem is proposed. Firstly, the non-smooth device is modeled as a Piecewise Linear(PWL) function with a possible state jumping. Secondly, some dynamic system equations of the non-smooth linear characteristic of the circuit formed by the non-smooth devices are given. Then, the time discretization is applied to these non-smooth dynamic system equations, and various types of one-step non-smooth problems are yielded, such as (linear) complementary problems or nonlinear(or quadratic) programming with equation-inequality constraints. The numerical solution is carried out. The simulation results show that the proposed numerical modeling method is effective for non-smooth systems with a large number of events and is robust to the variation of model parameters.
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YAN Peiyu, LI Qi. Modeling and simulation of non.smooth devices/circuits based on standard mathematical programming[J]. Journal of Terahertz Science and Electronic Information Technology , 2022, 20(8): 849
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Received: Jun. 16, 2020
Accepted: --
Published Online: Aug. 30, 2022
The Author Email: Peiyu YAN (ysslr49@163.com)