火用港-哈密顿系统:建模基础

IF 1.8 4区 数学 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS
Markus Lohmayer, P. Kotyczka, S. Leyendecker
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引用次数: 6

摘要

摘要Port Hamiltonian系统理论为多物理系统的建模、优化和控制提供了一种结构化的方法。然而,它与热力学的关系似乎还不清楚。哈密顿量传统上被认为是能量,尽管它的意义是火用。这种见解带来了好处:1。确定了与GENERIC结构的联系,使得从流行的非平衡热力学框架中借用思想相对容易。2.结合键合图语法的端口哈密顿结构有望成为类似于火用分析及其他热力学优化方法的主要组成部分。火用和图解语言的直观性促进了跨学科交流,这是实施可持续能源系统和过程所必需的。Port Hamiltonian系统是循环无源的,这意味着功率平衡方程立即从它们的定义开始。对于运动端口哈密顿系统,循环无源性与能量退化同义,并遵循热力学第一定律和第二定律,被编码为结构性质。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Exergetic port-Hamiltonian systems: modelling basics
ABSTRACT Port-Hamiltonian systems theory provides a structured approach to modelling, optimization and control of multiphysical systems. Yet, its relationship to thermodynamics seems to be unclear. The Hamiltonian is traditionally thought of as energy, although its meaning is exergy. This insight yields benefits: 1. Links to the GENERIC structure are identified, making it relatively easy to borrow ideas from a popular nonequilibrium thermodynamics framework. 2. The port-Hamiltonian structure combined with a bond-graph syntax is expected to become a main ingredient in thermodynamic optimization methods akin to exergy analysis and beyond. The intuitive nature of exergy and diagrammatic language facilitates interdisciplinary communication that is necessary for implementing sustainable energy systems and processes. Port-Hamiltonian systems are cyclo-passive, meaning that a power-balance equation immediately follows from their definition. For exergetic port-Hamiltonian systems, cyclo-passivity is synonymous with degradation of energy and follows from the first and the second law of thermodynamics being encoded as structural properties.
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来源期刊
CiteScore
3.80
自引率
5.30%
发文量
7
审稿时长
>12 weeks
期刊介绍: Mathematical and Computer Modelling of Dynamical Systems (MCMDS) publishes high quality international research that presents new ideas and approaches in the derivation, simplification, and validation of models and sub-models of relevance to complex (real-world) dynamical systems. The journal brings together engineers and scientists working in different areas of application and/or theory where researchers can learn about recent developments across engineering, environmental systems, and biotechnology amongst other fields. As MCMDS covers a wide range of application areas, papers aim to be accessible to readers who are not necessarily experts in the specific area of application. MCMDS welcomes original articles on a range of topics including: -methods of modelling and simulation- automation of modelling- qualitative and modular modelling- data-based and learning-based modelling- uncertainties and the effects of modelling errors on system performance- application of modelling to complex real-world systems.
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