Low-Order Bessel-Type PID Dynamics in Lithium-Based Tritium Breeding and Heat-Removal Systems
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866908930098069504 |
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| author | Borges, S. A. S. Campos, S. D. |
| author_facet | Borges, S. A. S. Campos, S. D. |
| contents | Lithium plays a dual role in deuterium-tritium fusion systems by enabling tritium breeding in blankets and providing an efficient heat-removal medium in liquid-metal components. Here, we combine nuclear data for deuterium-tritium and lithium reactions with a reduced thermohydraulic model of a liquid lithium jet and an operator-theoretic formulation of feedback control. We derive a low-order model for jet thermal expansion under deuteron-beam loading and show that a continuous-time proportional-integral-derivative controller, written in operator form, can be locally embedded in a family of Bessel-type differential operators acting on the tritium-inventory error. The results suggest that lithium-based breeding and heat-removal systems admit low-order, proportional-integral-derivative controllable dynamics that can be interpreted in terms of localized Bessel modes, providing a compact analytical framework for guiding future controller design and blanket/jet optimization. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_28799 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Low-Order Bessel-Type PID Dynamics in Lithium-Based Tritium Breeding and Heat-Removal Systems Borges, S. A. S. Campos, S. D. Plasma Physics Nuclear Experiment Lithium plays a dual role in deuterium-tritium fusion systems by enabling tritium breeding in blankets and providing an efficient heat-removal medium in liquid-metal components. Here, we combine nuclear data for deuterium-tritium and lithium reactions with a reduced thermohydraulic model of a liquid lithium jet and an operator-theoretic formulation of feedback control. We derive a low-order model for jet thermal expansion under deuteron-beam loading and show that a continuous-time proportional-integral-derivative controller, written in operator form, can be locally embedded in a family of Bessel-type differential operators acting on the tritium-inventory error. The results suggest that lithium-based breeding and heat-removal systems admit low-order, proportional-integral-derivative controllable dynamics that can be interpreted in terms of localized Bessel modes, providing a compact analytical framework for guiding future controller design and blanket/jet optimization. |
| title | Low-Order Bessel-Type PID Dynamics in Lithium-Based Tritium Breeding and Heat-Removal Systems |
| topic | Plasma Physics Nuclear Experiment |
| url | https://arxiv.org/abs/2603.28799 |