Quasy steady state model determination using bond graph for a singularly perturbed LTI system

Gilberto Gonzalez-A, Noe Barrera-G
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引用次数: 3

Abstract

A bond graph model in a integral causality assignment (BGI) for a singularly perturbed system is presented. This system is characterized by fast and slow dynamics. When the singular perturbation method is applied, the fast dynamic differential equation degenerate to an algebraic equation, the real roots of this equation by using a proposed bond graph, called Singularly Perturbed Bond Graph (SPBG) can be obtained. This SPBG has the property that the storage elements of the fast state and slow state have a derivative and integral causality assignment, respectively. Hence, a quasi steady state model by using SPBG is obtained. A Lemma to determine the junction structure from SPBG is proposed. Finally, the proposed methodology to a classical example of a DC motor and RC network is applied.
用键图确定奇摄动LTI系统的准稳态模型
给出了奇异摄动系统的积分因果分配(BGI)的键图模型。该系统具有快慢动态的特点。当应用奇异摄动法时,将快速动态微分方程退化为一个代数方程,利用提出的键图奇异摄动键图(SPBG)可以得到该方程的实根。该SPBG具有快慢态存储元件分别具有导数和积分因果关系赋值的特性。因此,利用SPBG得到了一个准稳态模型。提出了从SPBG判断结结构的引理。最后,将该方法应用于直流电机和RC网络的经典实例。
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