An analytical solution for stability-performance dilemma of hydronic radiators

Fatemeh Tahersima, Jakob Stoustrup, Henrik Rasmussen

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

19 Citationer (Scopus)

Resumé

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.
OriginalsprogEngelsk
TidsskriftEnergy and Buildings
Vol/bind64
Sider (fra-til)439-446
ISSN0378-7788
DOI
StatusUdgivet - 2013

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Radiators
Controllers
Flow rate
Energy conservation
Scheduling
Specifications
Air

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title = "An analytical solution for stability-performance dilemma of hydronic radiators",
abstract = "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.",
author = "Fatemeh Tahersima and Jakob Stoustrup and Henrik Rasmussen",
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An analytical solution for stability-performance dilemma of hydronic radiators. / Tahersima, Fatemeh; Stoustrup, Jakob; Rasmussen, Henrik.

I: Energy and Buildings, Bind 64, 2013, s. 439-446.

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

TY - JOUR

T1 - An analytical solution for stability-performance dilemma of hydronic radiators

AU - Tahersima, Fatemeh

AU - Stoustrup, Jakob

AU - Rasmussen, Henrik

PY - 2013

Y1 - 2013

N2 - 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.

AB - 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.

U2 - 10.1016/j.enbuild.2013.05.023

DO - 10.1016/j.enbuild.2013.05.023

M3 - Journal article

VL - 64

SP - 439

EP - 446

JO - Energy and Buildings

JF - Energy and Buildings

SN - 0378-7788

ER -