Hamiltonian formulation of bond graphs

Hamiltonian formulation of bond graphs
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键图的哈密顿公式

DOI：
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
A. Rantzer
A. Rantzer
中科院分区：
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文献类型：
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作者：
G. Golo;Schaft van der Arjan;P. Breedveld;B. Maschke;Rolf Johansson;A. Rantzer

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本文讨论键合图的数学公式。它被证明是键合图的功率连续部分，结结构，可以与狄拉克结构和描述键合图模型的方程对应的端口哈密顿系统。给出了模型系统适定性的条件，并推导出了适合于数值模拟的表达式。分析了表示的指数，给出了计算效率的充分条件。结果被应用到汽车应用中出现的一些模型
This paper deals with the mathematical formulation of bond graphs. It is proven that the power continuous part of bond graphs, the junction structure, can be associated with a Dirac structure and that the equations describing a bond graph model correspond to a port Hamiltonian system. The conditions for well-posedness of the modelled system are given, and representations suitable for numerical simulation are derived. The index of the representations is analyzed and sufficient conditions for computational eAEciency are given. The results are applied to some models arising in automotive applications