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Main Authors: Pisani, Joseph M., Aksland, Christopher T., Renkert, Philip M., Broniszewski, Joseph, Vyas, Vismay, Alleyne, Andrew G., Docimo, Donald J., Koeln, Justin P., Jain, Neera, Pangborn, Herschel C.
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2605.27017
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author Pisani, Joseph M.
Aksland, Christopher T.
Renkert, Philip M.
Broniszewski, Joseph
Vyas, Vismay
Alleyne, Andrew G.
Docimo, Donald J.
Koeln, Justin P.
Jain, Neera
Pangborn, Herschel C.
author_facet Pisani, Joseph M.
Aksland, Christopher T.
Renkert, Philip M.
Broniszewski, Joseph
Vyas, Vismay
Alleyne, Andrew G.
Docimo, Donald J.
Koeln, Justin P.
Jain, Neera
Pangborn, Herschel C.
contents Modern energy systems in vehicles and built infrastructure are governed by high-dimensional dynamics spanning multiple physical domains (e.g., electrical, thermal, mechanical) and timescales. This tutorial paper presents a graph-based modeling approach created to facilitate the modeling, analysis, control, estimation, optimization, and design of these systems. Matured and validated through more than a decade of research spanning multiple academic institutions and companies, the graph-based approach combines transient energy conservation with an explicit mathematical representation of the network by which energy is stored and transferred within a system. Following a mathematical overview of graph-based models, examples of multi-domain component and system models from the recent literature are presented, including single-phase thermal systems, two-phase thermal systems, and electro-mechanical systems. This is followed by a survey of recent applications for decentralized and hierarchical model predictive control, design optimization, and control co-design. Lastly, the paper describes an open-source toolbox created to facilitate the generation and analysis of graph-based models.
format Preprint
id arxiv_https___arxiv_org_abs_2605_27017
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Graph-Based Modeling, Control, and Optimization for Multi-Domain and Multi-Timescale Energy Systems
Pisani, Joseph M.
Aksland, Christopher T.
Renkert, Philip M.
Broniszewski, Joseph
Vyas, Vismay
Alleyne, Andrew G.
Docimo, Donald J.
Koeln, Justin P.
Jain, Neera
Pangborn, Herschel C.
Systems and Control
Modern energy systems in vehicles and built infrastructure are governed by high-dimensional dynamics spanning multiple physical domains (e.g., electrical, thermal, mechanical) and timescales. This tutorial paper presents a graph-based modeling approach created to facilitate the modeling, analysis, control, estimation, optimization, and design of these systems. Matured and validated through more than a decade of research spanning multiple academic institutions and companies, the graph-based approach combines transient energy conservation with an explicit mathematical representation of the network by which energy is stored and transferred within a system. Following a mathematical overview of graph-based models, examples of multi-domain component and system models from the recent literature are presented, including single-phase thermal systems, two-phase thermal systems, and electro-mechanical systems. This is followed by a survey of recent applications for decentralized and hierarchical model predictive control, design optimization, and control co-design. Lastly, the paper describes an open-source toolbox created to facilitate the generation and analysis of graph-based models.
title Graph-Based Modeling, Control, and Optimization for Multi-Domain and Multi-Timescale Energy Systems
topic Systems and Control
url https://arxiv.org/abs/2605.27017