Abstract
Chiller model is a key factor to building energy simulation and chiller performance prediction. With spread of new types of electric water chillers that have higher performance and wider operating range, new challenges have been faced by building energy simulation tools and their chiller models. This work takes a new type of electric water chiller as a case study and reevaluates eight typical empirically based models for predicting the energy performance of electric water chiller to verify whether they are suitable for the new type of chiller, using both laboratory test data from chiller manufacturer and online monitoring data from on-site operation of a central cooling plant with chillers of the same type. The prediction ability of the chiller models (including model prediction accuracy and generation ability) in laboratory test and on-site operation situations are examined. The results show that the existing models can well describe the chiller performance in the laboratory test situation but perform poorly in the on-site operation situation. As the best two models in the laboratory dataset, the overall prediction errors of DOE-2 and GN model increase more than 250% and 75% respectively in the field dataset. The big discrepancy of model prediction accuracy in the two situations is mainly due to the differences of evaporator and condenser water flow rates between the laboratory and on-site operation datasets, which indicates the limitations of the empirical chiller models and implies further research in future in order to improve the suitability and reliability of chiller model.
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Abbreviations
- cw:
-
water specific heat (= 4.2 kJ/(kg·K))
- CAPFT:
-
cooling capacity factor of chiller, equal to 1 at reference conditions
- COP:
-
coefficient of performance of chiller
- CV:
-
coefficient of variation
- EIRFPLR:
-
energy input to cooling output factor of chiller at part-load conditions, i.e., part-load efficiency
- EIRFT:
-
energy input to cooling output factor of chiller at full-load conditions, i.e., full-load efficiency
- Mc:
-
condenser water flow rate of chiller (L/s)
- Me:
-
冷水机组的蒸发器水流速(L / s)
- Mc,total:
-
cooling water flow of main pipe (L/s)
- Me,total:
-
chilled water flow of main pipe (L/s)
- P:
-
compressor work input of chiller (kW)
- Pref:
-
compressor work input of chiller at reference conditions (kW)
- PLR:
-
part-load ratio of chiller, equal to cooling load divided by the available chiller capacity adjusted for current fluid temperatures
- Qc:
-
condenser cooling capacity of chiller (kW)
- Qe:
-
cvaporator cooling capacity of chiller (kW)
- Qe,ref:
-
evaporator cooling capacity of chiller at reference conditions (kW)
- R2:
-
coefficient of determination
- Tci:
-
condenser inlet water temperature of chiller (K or °C)
- Tco:
-
condenser outlet water temperature of chiller (K or °C)
- Tei:
-
evaporator inlet water temperature of chiller (K or °C)
- Teo:
-
evaporator outlet water temperature of chiller (K or °C)
- Tcr:
-
茵莱t water temperature of cooling towers (K or °C)
- Tcs:
-
outlet water temperature of cooling towers (K or °C)
- Tr:
-
return temperature of chilled water (K or °C)
- Ts:
-
supply temperature of chilled water (K or °C)
- ρw:
-
water density (=1.0 kg/L)
- Õ:
-
相对误差指标
- lab:
-
laboratory test data
- field:
-
on-site monitoring data
- p:
-
predicted value by an empirical chiller model
- m:
-
measured value
References
Alonso S, Morán A, Pérez D, et al. (2020). Estimating cooling production and monitoring efficiency in chillers using a soft sensor.Neural Computing and Applications, 32: 17291–17308.
ASHRAE (2002). ASHRAE Guideline 14–2002. Measurement of Energy and Demand Savings. Atlanta, GA, USA: American Society of Heating, Refrigerating and Air-Conditioning Engineers
Chen CL, Chang YC, Chan TS (2014). Applying smart models for energy saving in optimal chiller loading.能源和建筑, 68: 364–371.
Chen J, Chen H, Zeng Y, et al. (2020). The energy consumption prediction method of chillers based on gradient boosting regression tree.Refrigeration and Airconditioning, 20(11): 78–82. (in Chinese)
Cui J, Wang S (2005). A model-based online fault detection and diagnosis strategy for centrifugal chiller systems.International Journal of Thermal Sciences, 44: 986–999.
Gordon JM, Ng KC (1994). Thermodynamic modeling of reciprocating chillers.Journal of Applied Physics, 75: 2769–2774.
Harrington P (2012). Machine Learning in Action. Shelter Island, NY, USA: Manning Publications.
Hydeman M, Gillespie KL Dexter AL (2002a). Tools and techniques to calibrate electric chiller component models.ASHRAE Transactions, 108(1): 733–741.
Hydeman M, Webb N, Sreedharan P, et al. (2002b). Development and testing of a reformulated regression-based electric chiller model.ASHRAE Transactions, 108(2): 1118–1127.
Jiang W, Reddy TA (2003). Reevaluation of the gor-don-ng performance models for water-cooled chillers.ASHRAE Transactions, 109(2): 272–287.
Kamar HM, Ahmad R, Kamsah NB, et al. (2013). Artificial neural networks for automotive air-conditioning systems performance prediction.Applied Thermal Engineering, 50: 63–70.
Lee TS (2004). Thermodynamic modeling and experimental validation of screw liquid chillers.ASHRAE Transactions, 110(1): 206–216.
Lee TS, Liao K, Lu W (2012). Evaluation of the suitability of empirically-based models for predicting energy performance of centrifugal water chillers with variable chilled water flow.Applied Energy, 93: 583–595.
Ng KC, Chua HT, Ong W, et al. (1997). Diagnostics and optimization of reciprocating chillers: theory and experiment.Applied Thermal Engineering, 17: 263–276.
Pan Y, Tian B, Mao J, et al. (2015). Development and online tuning of an empirically-based model for centrifugal chillers. In: Proceedings of the 14th International IBPSA Building Simulation Conference, Hyderabad, India.
Reddy TA, Andersen K (2002). An evaluation of classical steady-state off-line linear parameter estimation methods applied to chiller performance data.HVAC&R Research, 8: 101–124.
Sreedharan P (2001). Evaluation of chiller modeling approaches and their usability for fault detection. Master Thesis, University of California, Berkeley, USA.
Sreedharan P, Haves P (2001). Comparison of chiller models for use in model-based fault detection. In: Proceedings of Comparison of chiller models for use in model-based fault detection, Austin, TX, USA.
Swider DJ, Browne MW, Bansal PK, et al. (2001). Modelling of vapour-compression liquid chillers with neural networks.Applied Thermal Engineering, 21: 311–329.
Swider DJ (2003). A comparison of empirically based steady-state models for vapor-compression liquid chillers.Applied Thermal Engineering, 23: 539–556.
Tian B, Pan Y, Huang Z (2014). Analysis and evaluation of empirically based steady-state models for centrifugal chillers.Building Energy Efficiency, 42(2): 15–20. (in Chinese)
Tian C, Xing Z, Pan X, et al. (2019). A method for COP prediction of an on-site screw chiller applied in cinema.International Journal of Refrigeration, 98: 459–467.
Wang B, Zou Y, Song Y, et al. (2013). Research on calculation methods of chiller’s energy-saving amount based on mathematical models.Building Science, 29(4): 79–84. (in Chinese)
Wei Z, Wang B (2018). Characteristic analysis and case study of energy saving uncertainty model for heating system retrofit projects.Building Science, 34(6): 115–122, 2018. (in Chinese)
Wu F, Yang X, Shi B, (2020). Energy consumption prediction model of chiller based on empirical mode decomposition.Refrigeration and Airconditioning, 20(10): 27–33. (in Chinese)
Yik FWH, Lam VCK (1998). Chiller models for plant design studies.Buildng Services Engineering Research and Technology, 19: 233–241.
Zhu X, Zhang S, Jin X, et al. (2020). Deep learning based reference model for operational risk evaluation of screw chillers for energy efficiency.Energy, 213: 118833.
Acknowledgements
This work was supported by the State Key Laboratory of Air-Conditioning Equipment and System Energy Conservation (No. ACSKL2019KT13), National Natural Science Foundation of China (No. 51608297 and No. 51678024), Scientific Research Project of Beijing Municipal Education Commission (No. KM201910016009 and No. KZ202110016022), Beijing Advanced Innovation Center for Future Urban Design (No. UDC2019011121) and Fundamental Research Funds for Beijing University of Civil Engineering and Architecture (No. X18301).
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Zhang, B., You, S., Wang, S.et al.From laboratory to on-site operation: Reevaluation of empirically based electric water chiller models.Build. Simul.(2021). https://doi.org/10.1007/s12273-021-0797-4
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Keywords
- electric water chiller
- performance model
- model validation
- model prediction ability
- variable water flow rates