Author(s): Teyber, R; Brouwer, L; Godeke, A; Prestemon, S | Abstract: © 2020 IOP Publishing Ltd. A compact gantry delivering 70-220 MeV protons with fixed field in the superconducting magnets could reduce the cost and improve the adoption of proton therapy. While a number of magnet and cryogenics designs have been proposed, the combined capital and operating costs of state-of-the-art superconducting materials have not been analyzed. In response, we develop a thermoeconomic model of a multi-stage, conduction cooled gantry lattice and analyze the cryocooler operating cost, cryocooler capital cost and conductor capital cost for Nb-Ti, Nb3Sn, REBCO and Bi-2223 over a continuous range of magnet temperatures, and a differential evolution algorithm is used to identify the optimal combination of thermal intercept temperatures. Although Nb3Sn yields the lowest Net Present Value (NPV) of $111.7k at a magnet temperature of 9.4 K, the optimized Bi-2223 design at 12.8 K approaches the realm of commercial feasibility by offering improved thermal stability and forgoing the need for costly conductor heat treatment and magnet quench training. Furthermore, it was found that Nb3Sn was more cost effective than Nb-Ti and that REBCO was not economically viable for the parameters of this investigation. The thermoeconomic model developed herein can optimize conductor choices, magnet temperatures and thermal staging which has value for any conduction-cooled superconducting magnet.

中文翻译：

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质子治疗台架超导磁体的热经济成本优化

作者（S）：泰伯，R；布劳威尔，L；戈德克，A；Prestemon, S | 摘要：© 2020 IOP Publishing Ltd. 在超导磁体中提供具有固定场的 70-220 MeV 质子的紧凑型龙门架可以降低成本并提高质子治疗的采用率。虽然已经提出了许多磁体和低温设计，但尚未分析最先进超导材料的综合资本和运营成本。作为回应，我们开发了一个多级传导冷却龙门晶格的热经济模型，并分析了 Nb-Ti、Nb3Sn、REBCO 和 Bi-2223 在连续范围的磁体上的低温冷却器运行成本、低温冷却器资本成本和导体资本成本温度，并使用差分进化算法来识别热截距温度的最佳组合。尽管 Nb3Sn 在 9.4 K 的磁体温度下产生的最低净现值 (NPV) 为 11.17 万美元，但优化的 Bi-2223 设计在 12.8 K 下通过提供改进的热稳定性和放弃对昂贵的导体热量的需求接近商业可行性领域治疗和磁淬火训练。此外，发现 Nb3Sn 比 Nb-Ti 更具成本效益，并且 REBCO 对于本研究的参数在经济上不可行。此处开发的热经济学模型可以优化导体选择、磁体温度和热分级，这对任何传导冷却的超导磁体都具有价值。8 K 通过提供更高的热稳定性并放弃对昂贵的导体热处理和磁体淬火培训的需要，接近商业可行性领域。此外，发现 Nb3Sn 比 Nb-Ti 更具成本效益，并且 REBCO 对于本研究的参数在经济上不可行。此处开发的热经济学模型可以优化导体选择、磁体温度和热分级，这对任何传导冷却的超导磁体都具有价值。8 K 通过提供更高的热稳定性并放弃对昂贵的导体热处理和磁体淬火培训的需要，接近商业可行性领域。此外，发现 Nb3Sn 比 Nb-Ti 更具成本效益，并且 REBCO 对于本研究的参数在经济上不可行。此处开发的热经济学模型可以优化导体选择、磁体温度和热分级，这对任何传导冷却的超导磁体都具有价值。