A New Simulation Model for Vertical Spiral Ground Heat Exchangers Combining Cylindrical Source Model and Capacity Resistance Model

Considering the heat capacity inside vertical spiral ground heat exchanger (VSGHEX) in the simulation is one of the most noteworthy challenge to design the ground source heat pump (GSHP) system with VSGHEXs. In this paper, a new simulation model for VSGHEXs is developed by combining the ICS model wi...

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Main Authors: Takao Katsura, Takashi Higashitani, Yuzhi Fang, Yoshitaka Sakata, Katsunori Nagano, Hitoshi Akai, Motoaki OE
Format: Article
Language:English
Published: MDPI AG 2020-03-01
Series:Energies
Subjects:
Online Access:https://www.mdpi.com/1996-1073/13/6/1339
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author Takao Katsura
Takashi Higashitani
Yuzhi Fang
Yoshitaka Sakata
Katsunori Nagano
Hitoshi Akai
Motoaki OE
author_facet Takao Katsura
Takashi Higashitani
Yuzhi Fang
Yoshitaka Sakata
Katsunori Nagano
Hitoshi Akai
Motoaki OE
author_sort Takao Katsura
collection DOAJ
description Considering the heat capacity inside vertical spiral ground heat exchanger (VSGHEX) in the simulation is one of the most noteworthy challenge to design the ground source heat pump (GSHP) system with VSGHEXs. In this paper, a new simulation model for VSGHEXs is developed by combining the ICS model with the CaRM. The developed simulation model can consider the heat capacity inside VSGHEX and provide dynamic calculation with high speed and appropriate precision. In order to apply the CaRM, the equivalent length was introduced. Then, the equivalent length was approximated by comparing the results of the CaRM and the numerical calculation. In addition, the calculation model of the VSGHEX was integrated into the design and simulation tool for the GSHP system. The accuracy of the tool was verified by comparing with the measurements. The error between supply temperatures of the measurements and calculation is approximately 2 °C at the maximum. Finally, assuming GSHP systems with VSGHEXs, whose spiral diameter was 500 mm and depth was 4 m, were installed in residential houses in Japan, the required numbers of VSGHEXs were estimated. The results showed a strong correlation between the total heating or cooling load and the required number. Therefore, the required number can be estimated by using the simplified approximate equation.
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spelling doaj.art-143204678e9f4a41b1292e4c271a122d2022-12-22T02:18:02ZengMDPI AGEnergies1996-10732020-03-01136133910.3390/en13061339en13061339A New Simulation Model for Vertical Spiral Ground Heat Exchangers Combining Cylindrical Source Model and Capacity Resistance ModelTakao Katsura0Takashi Higashitani1Yuzhi Fang2Yoshitaka Sakata3Katsunori Nagano4Hitoshi Akai5Motoaki OE6Faculty of Engineering, Hokkaido University, N13-W8, Kita-ku, Sapporo 060-8628, JapanFaculty of Engineering, Hokkaido University, N13-W8, Kita-ku, Sapporo 060-8628, JapanFaculty of Engineering, Hokkaido University, N13-W8, Kita-ku, Sapporo 060-8628, JapanFaculty of Engineering, Hokkaido University, N13-W8, Kita-ku, Sapporo 060-8628, JapanFaculty of Engineering, Hokkaido University, N13-W8, Kita-ku, Sapporo 060-8628, JapanFaculty of Engineering, Hokkaido University, N13-W8, Kita-ku, Sapporo 060-8628, JapanINOAC Housing & Construction Materials Co., Ltd., 4-9-27 Taihou, Atsuta-ku, Nagoya 456-0062, JapanConsidering the heat capacity inside vertical spiral ground heat exchanger (VSGHEX) in the simulation is one of the most noteworthy challenge to design the ground source heat pump (GSHP) system with VSGHEXs. In this paper, a new simulation model for VSGHEXs is developed by combining the ICS model with the CaRM. The developed simulation model can consider the heat capacity inside VSGHEX and provide dynamic calculation with high speed and appropriate precision. In order to apply the CaRM, the equivalent length was introduced. Then, the equivalent length was approximated by comparing the results of the CaRM and the numerical calculation. In addition, the calculation model of the VSGHEX was integrated into the design and simulation tool for the GSHP system. The accuracy of the tool was verified by comparing with the measurements. The error between supply temperatures of the measurements and calculation is approximately 2 °C at the maximum. Finally, assuming GSHP systems with VSGHEXs, whose spiral diameter was 500 mm and depth was 4 m, were installed in residential houses in Japan, the required numbers of VSGHEXs were estimated. The results showed a strong correlation between the total heating or cooling load and the required number. Therefore, the required number can be estimated by using the simplified approximate equation.https://www.mdpi.com/1996-1073/13/6/1339ground source heat pump systemvertical spiral ground heat exchangerborehole thermal storageinfinite cylindrical sourcecapacity resistance model
spellingShingle Takao Katsura
Takashi Higashitani
Yuzhi Fang
Yoshitaka Sakata
Katsunori Nagano
Hitoshi Akai
Motoaki OE
A New Simulation Model for Vertical Spiral Ground Heat Exchangers Combining Cylindrical Source Model and Capacity Resistance Model
Energies
ground source heat pump system
vertical spiral ground heat exchanger
borehole thermal storage
infinite cylindrical source
capacity resistance model
title A New Simulation Model for Vertical Spiral Ground Heat Exchangers Combining Cylindrical Source Model and Capacity Resistance Model
title_full A New Simulation Model for Vertical Spiral Ground Heat Exchangers Combining Cylindrical Source Model and Capacity Resistance Model
title_fullStr A New Simulation Model for Vertical Spiral Ground Heat Exchangers Combining Cylindrical Source Model and Capacity Resistance Model
title_full_unstemmed A New Simulation Model for Vertical Spiral Ground Heat Exchangers Combining Cylindrical Source Model and Capacity Resistance Model
title_short A New Simulation Model for Vertical Spiral Ground Heat Exchangers Combining Cylindrical Source Model and Capacity Resistance Model
title_sort new simulation model for vertical spiral ground heat exchangers combining cylindrical source model and capacity resistance model
topic ground source heat pump system
vertical spiral ground heat exchanger
borehole thermal storage
infinite cylindrical source
capacity resistance model
url https://www.mdpi.com/1996-1073/13/6/1339
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