基于标准数学规划的非光滑器件/电路的建模及仿真  

Modeling and simulation of non-smooth devices/circuits based on standard mathematical programming

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作  者:闫佩玉 李琦 YAN Peiyu;LI Qi(Basic Teaching Department,Shandong Huayu University of Technology,Dezhou Shandong 253034,China)

机构地区:[1]山东华宇工学院基础教学部,山东德州253034

出  处:《太赫兹科学与电子信息学报》2022年第8期849-856,共8页Journal of Terahertz Science and Electronic Information Technology

基  金:山东省教育科学“十二五”规划课题(CBS15007);山东省人文社科课题(J16WB01);山东华宇工学院教改课题(2019JG38)。

摘  要:针对非光滑器件/电路的非光滑特性,提出了一种基于标准数学规划问题的建模及仿真。首先将非光滑器件建模为具有可能发生状态跳变的分段线性函数;其次给出了由这些非光滑器件构成的电路的非光滑线性特性的动态系统方程;然后对这些非光滑动态系统方程进行时间离散化得到各种类型的一步非光滑问题,如(线性)互补问题或具有等式-不等式约束的非线性(或二次)规划,进而进行数值求解。仿真实验结果表明,本文所提出的数值建模方法对于具有大量事件的非光滑系统是有效的,对于模型参数的变化具有鲁棒性。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.

关 键 词:非光滑器件/电路 非光滑特性 分段线性 标准数学规划 互补问题 动态系统方程鲁棒性 

分 类 号:TM46[电气工程—电器]

 

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