Eliminating oscillations in TRV controlled hydronic radiators

Fatemeh Tahersima, Jakob Stoustrup, Henrik Rasmussen

Research output: Contribution to journalConference article in JournalResearchpeer-review

4 Citations (Scopus)
697 Downloads (Pure)

Abstract

Thermostatic Radiator Valves (TRV) have proved their significant contribution in energy savings for several years. However, at low heat demands, an unstable oscillatory behavior is usually observed and well known for these devices. The instability happens due to the nonlinear dynamics of the radiator itself which result in a large time constant and high gain for radiator at low flows. Taking the radiator heat as its output, we have developed this term analytically. The result is achieved by solving the partial differential equation describing the distributed radiator system with boundary conditions. Exploiting the analytic solution of the output heat, a linear parameter varying (LPV) model is parameterized in a systematic way. Time constant and radiator gain are appeared explicitly in this model. A gain schedule control is designed for TRV, inspired by the proposed LPV model. It is shown via simulations that the controller will guarantee both performance and stability in the whole operating conditions.
Original languageEnglish
JournalI E E E Conference on Decision and Control. Proceedings
ISSN0743-1546
DOIs
Publication statusPublished - 2011
Event50th IEEE Conference on Decision and Control and European Control Conference - Orlando, Florida, United States
Duration: 12 Dec 201115 Dec 2011

Conference

Conference50th IEEE Conference on Decision and Control and European Control Conference
CountryUnited States
CityOrlando, Florida
Period12/12/201115/12/2011

Fingerprint

Radiators
Partial differential equations
Energy conservation
Boundary conditions
Controllers
Hot Temperature

Cite this

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title = "Eliminating oscillations in TRV controlled hydronic radiators",
abstract = "Thermostatic Radiator Valves (TRV) have proved their significant contribution in energy savings for several years. However, at low heat demands, an unstable oscillatory behavior is usually observed and well known for these devices. The instability happens due to the nonlinear dynamics of the radiator itself which result in a large time constant and high gain for radiator at low flows. Taking the radiator heat as its output, we have developed this term analytically. The result is achieved by solving the partial differential equation describing the distributed radiator system with boundary conditions. Exploiting the analytic solution of the output heat, a linear parameter varying (LPV) model is parameterized in a systematic way. Time constant and radiator gain are appeared explicitly in this model. A gain schedule control is designed for TRV, inspired by the proposed LPV model. It is shown via simulations that the controller will guarantee both performance and stability in the whole operating conditions.",
author = "Fatemeh Tahersima and Jakob Stoustrup and Henrik Rasmussen",
year = "2011",
doi = "10.1109/CDC.2011.6161216",
language = "English",
journal = "I E E E Conference on Decision and Control. Proceedings",
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Eliminating oscillations in TRV controlled hydronic radiators. / Tahersima, Fatemeh; Stoustrup, Jakob; Rasmussen, Henrik.

In: I E E E Conference on Decision and Control. Proceedings, 2011.

Research output: Contribution to journalConference article in JournalResearchpeer-review

TY - GEN

T1 - Eliminating oscillations in TRV controlled hydronic radiators

AU - Tahersima, Fatemeh

AU - Stoustrup, Jakob

AU - Rasmussen, Henrik

PY - 2011

Y1 - 2011

N2 - Thermostatic Radiator Valves (TRV) have proved their significant contribution in energy savings for several years. However, at low heat demands, an unstable oscillatory behavior is usually observed and well known for these devices. The instability happens due to the nonlinear dynamics of the radiator itself which result in a large time constant and high gain for radiator at low flows. Taking the radiator heat as its output, we have developed this term analytically. The result is achieved by solving the partial differential equation describing the distributed radiator system with boundary conditions. Exploiting the analytic solution of the output heat, a linear parameter varying (LPV) model is parameterized in a systematic way. Time constant and radiator gain are appeared explicitly in this model. A gain schedule control is designed for TRV, inspired by the proposed LPV model. It is shown via simulations that the controller will guarantee both performance and stability 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 demands, an unstable oscillatory behavior is usually observed and well known for these devices. The instability happens due to the nonlinear dynamics of the radiator itself which result in a large time constant and high gain for radiator at low flows. Taking the radiator heat as its output, we have developed this term analytically. The result is achieved by solving the partial differential equation describing the distributed radiator system with boundary conditions. Exploiting the analytic solution of the output heat, a linear parameter varying (LPV) model is parameterized in a systematic way. Time constant and radiator gain are appeared explicitly in this model. A gain schedule control is designed for TRV, inspired by the proposed LPV model. It is shown via simulations that the controller will guarantee both performance and stability in the whole operating conditions.

U2 - 10.1109/CDC.2011.6161216

DO - 10.1109/CDC.2011.6161216

M3 - Conference article in Journal

JO - I E E E Conference on Decision and Control. Proceedings

JF - I E E E Conference on Decision and Control. Proceedings

SN - 0743-1546

ER -