“连续系统仿真”中数值积分和模型离散化方法的对比教学

"Continuous System Simulation" in the Discrete Numerical Integration Method and Model Comparison of Teaching

数值积分方法和模型离散化方法是连续系统仿真的两种典型方法,其中模型离散化方法相对难以理解,可通过引入对比教学,借助成熟的数值积分方法的知识,让学生对模型离散化方法有深入的理解。文章首先以仿真流程图的模式将模型离散化的快速仿真思想和数值积分法对比,突出其快速的本质;然后通过实例和推导证明了简单替换法和Euler数值积分算法的关系;最后对学生普遍难以理解的模型离散相似法进行深入阐述并和数值积分方法比对讲授,改进了教学效果。

Numerical integration and discretization of model are basic methods for continuous system simulation.Discretization method is much more difficult to understand for students than numerical integration,and so contrastive method is introduced to the course,comparing with the integration method,which is helpful for the student to learn the discretization of model.First,a simulation flow chart is put forward to illustrate the advantages of method of discretization of model.And then,simple substitution method is analyzed through an example,comparing with Euler integration method.At last,a detail study contrastive with integration method is carried out for the discrete analog method,which is usually hard to be understood for students.A good improvement is got through in the course,which proves the effect of the contrastive teaching method.