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An analytical solution for stability-performance dilemma of hydronic radiators

机译：水力散热器稳定性-性能难题的解析解

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摘要

Thermostatic radiator valves (TRV) have proved their significant contribution in energy savings for several years. However, at low heat demand conditions, an unstable oscillatory behavior is usually observed and well known for these devices. This closed-loop instability is due to the nonlinear dynamics of the radiator which result in a large time constant and a large gain for the radiator at small flow rates. In order to improve stability of radiators under the low demand circumstance, one way is to replace the fixed-parameter controller of TRV with an adaptive controller. This paper presents a gain scheduling controller based on a proposed linear parameter varying model of radiator dynamics. The model is parameterized based on the operating flow rate, room temperature and radiator specifications. Parameters of the model are derived based on the proposed analytic solution that describes dissipated heat by a radiator to ambient air. It is shown via simulations that the designed controller based on the proposed linear parameter varying (LPV) model performs excellent and remains stable in the whole operating conditions.
机译：恒温散热器阀（TRV）多年来已经证明了它们在节能方面的重要贡献。但是，在低热量需求条件下，通常会观察到不稳定的振荡行为，并且对于这些设备来说是众所周知的。这种闭环不稳定性是由于散热器的非线性动力学导致的，这会导致在小流量下散热器具有较大的时间常数和较大的增益。为了提高散热器在低需求情况下的稳定性，一种方法是用自适应控制器代替TRV的固定参数控制器。本文提出了一种基于散热器动力学线性参数变化模型的增益调度控制器。该模型基于工作流量，室温和散热器规格进行参数化。该模型的参数是基于所提出的解析解决方案得出的，该解析解决方案描述了散热器向周围空气散发的热量。通过仿真显示，基于所建议的线性参数变化（LPV）模型设计的控制器在整个工作条件下均表现出色且保持稳定。

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  • 来源
    《Energy and Buildings》 |2013年第9期|439-446|共8页
  • 作者

    Fatemeh Tahersima; Jakob Stoustrup; Henrik Rasmussen;

  • 作者单位

    Automation & Control, Department of Electronic systems, Aalborg Univeristy, Fredrik Bajers Vej 7C, Aalborg 9220, Denmark;

    Automation & Control, Department of Electronic systems, Aalborg Univeristy, Fredrik Bajers Vej 7C, Aalborg 9220, Denmark;

    Automation & Control, Department of Electronic systems, Aalborg Univeristy, Fredrik Bajers Vej 7C, Aalborg 9220, Denmark;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Hydronic radiator; Modeling; Dynamical analysis; Thermal comfort; Gain-scheduling control;

    机译：水力散热器造型;动力学分析;热舒适性;增益调度控制;

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