Study of an optimal heating command law for structures with non-negligible thermal inertia in varying outdoor conditions

IF 2.1 3区 工程技术 Q2 ENGINEERING, CIVIL
J. Dumoulin, N. L. Touz, T. Toullier
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引用次数: 1

Abstract

In this numerical study, an optimal energetic control model applied to local heating sources to prevent black-ice occurrence at transport infrastructure surface is addressed. The heat transfer Finite Element Model developed and boundary conditions hypothesis considered are firstly presented. Several heat powering strategies, in time and space, are then introduced. Secondly, control laws are presented with the objective of preventing ice formation while avoiding excessive energy consumption by taking also into account weather forecast information. In particular, the adjoint state method is adapted for the case of an operation without some continuous properties (discontinuous time heat sources). In such case, a projection from the space of continuous time functions to a piecewise constant one is proposed. To perform optimal control, the adjoint state method is addressed and discussed for the different powering solutions. To preserve some specific technical components and maintain their lifetime, operational constraints are considered and different formulations for the control law are proposed. Time dependent convecto-radiative boundary conditions are introduced in the model by extracting information from existing weather databases. Extension to updated inline weather forecast services is also presented and discussed. The final minimization problem considered has to act on both energy consumption and non-freezing surface temperature by integrating these specific constraints. As a consequence, the final optimal solution is estimated by an algorithm relying on the combination of adjoint state method and gradient descent that fits mathematical constraints. Results obtained by numerical simulations for different operative conditions with various weather conditions are presented and discussed. Finally, conclusion and perspectives are proposed.
不同室外条件下具有不可忽略热惯性结构的最优供热指挥律研究
在这项数值研究中,提出了一种应用于局部热源的最优能量控制模型,以防止交通基础设施表面出现黑冰。首先建立了传热有限元模型,并考虑了边界条件假设。然后介绍了几种在时间和空间上的热动力策略。其次,通过考虑天气预报信息,提出了控制规律,目的是防止结冰,同时避免过度能耗。特别地,伴随态方法适用于没有一些连续性质(不连续时间热源)的操作的情况。在这种情况下,提出了从连续时间函数空间到分段常数函数空间的投影。为了进行最优控制,对不同功率解的伴随状态方法进行了讨论。为了保留一些特定的技术部件并保持其使用寿命,考虑了操作约束,并提出了控制律的不同公式。通过从现有的天气数据库中提取信息,在模型中引入了与时间相关的对流辐射边界条件。还介绍并讨论了对更新的在线天气预报服务的扩展。所考虑的最终最小化问题必须通过整合这些特定的约束条件来影响能量消耗和非冻结表面温度。因此,最终的最优解是通过一种依赖于伴随状态法和梯度下降相结合的算法来估计的,该算法符合数学约束。给出并讨论了不同天气条件下不同运行条件下的数值模拟结果。最后,提出了结论和展望。
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来源期刊
Smart Structures and Systems
Smart Structures and Systems 工程技术-工程:机械
CiteScore
6.50
自引率
8.60%
发文量
0
审稿时长
9 months
期刊介绍: An International Journal of Mechatronics, Sensors, Monitoring, Control, Diagnosis, and Management airns at providing a major publication channel for researchers in the general area of smart structures and systems. Typical subjects considered by the journal include: Sensors/Actuators(Materials/devices/ informatics/networking) Structural Health Monitoring and Control Diagnosis/Prognosis Life Cycle Engineering(planning/design/ maintenance/renewal) and related areas.
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