Application of the Multi-Variable Extreme Seeking Control to the Efficient Operation of the Sub-Cooler Vapor Injection Transcritical CO<sub>2</sub> Heat Pumps

doi:10.7652/xjtuxb202012016

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Application of the Multi-Variable Extreme Seeking Control to the Efficient Operation of the Sub-Cooler Vapor Injection Transcritical CO₂ Heat Pumps

更新时间：2025-07-09

- Application of the Multi-Variable Extreme Seeking Control to the Efficient Operation of the Sub-Cooler Vapor Injection Transcritical CO₂ Heat Pumps
- Vol. 54, Issue 12, Pages: 131-137(2020)
- 作者机构：
  
  西安交通大学能源与动力工程学院,西安,710049
- 作者简介：
- 基金信息：
- DOI：10.7652/xjtuxb202012016
  CLC： TB657
- Online First：10 December 2020，
  
  Published：2020
- 稿件说明：
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Application of the Multi-Variable Extreme Seeking Control to the Efficient Operation of the Sub-Cooler Vapor Injection Transcritical CO₂ Heat Pumps[J]. 2020, 54(12): 131-137. DOI: 10.7652/xjtuxb202012016.
DOI：

Application of the Multi-Variable Extreme Seeking Control to the Efficient Operation of the Sub-Cooler Vapor Injection Transcritical CO₂ Heat Pumps[J]. 2020, 54(12): 131-137. DOI: 10.7652/xjtuxb202012016. DOI：

摘要

为了将跨临界CO

中间补气过冷热泵热水器的实时能耗控制在最低水平

将多变量极值搜索算法运用到跨临界CO

中间补气过冷系统的控制方案

将系统功耗设定为目标优化量

跨临界CO

系统的排气压力和中间压力设定为控制量。采用仿真软件Dymola(Modelica 3.2.3)和模型库ThermalSystems(TLK-thermo、GmbH)搭建了跨临界CO

中间过冷补气热泵热水器和相应控制系统的动态模型

在环境温度-12 ℃

进、出水温度为45 ℃、65 ℃工况下

给定系统初始状态点为排气压力12 MPa、中间压力7 MPa

经过极值搜索控制器作用后

排气压力与中间压力稳定控制在能够实现系统最低能耗的最优参数下

验证了该控制方案的有效性。为了验证该系统的可靠性

模拟过程中极值搜索系统在排气压力和中间压力的运行初值分别为10、6 MPa

10、8 MPa

14、6 MPa

14、8 MPa的情况下

系统均能到达并收敛到最低能耗点。

Abstract

The extreme seeking control(ESC)algorithm is utilized to realize the real-time minimization of the power consumption of the sub-cooler vapor injection transcritical CO

heat pump water heater system. The ESC takes the power consumption as the feedback

and the manipulated inputs are the discharge pressure and the medium pressure. A dynamic simulation model based on Dymold(Modelica 3.2.3)and ThermSystems(TLK-thermo

GmbH)is developed for a sub-cooler vapor injection transcritical CO

heat pumps to evaluate the proposed multi-variable ESC

method under the design condition. Given the initial state of the system with discharge pressure and medium pressure at 12 and 7 MPa

environmental temperature at -12 ℃

inlet and outlet water temperature at 45 and 65 ℃

both the discharge pressure and the medium pressure converge to the optimal operation parameters under the manipulation of the ESC controller. This study also simulates the operation results of the ESC at four different initial states(discharge pressure and medium pressure at 10 and 6 MPa

10 and 8 MPa

14 and 6 MPa and 14 and 8 MPa

respectively). The system can reach and converge to the lowest power consumption point of the system

and the reliability of the method is verified.

关键词

Keywords

references

李连生. 制冷剂替代技术研究进展及发展趋势 [J]. 制冷学报, 2011, 32(6): 53-58.

LI Liansheng. Research progress on alternative refrigerants and their development trend [J]. Journal of Refrigeration, 2011, 32(6): 53-58.

NEKSA P, REKSTAD H, ZAKERI G R, et al. CO2-heat pump water heater: characteristics, system design and experimental results [J]. International Journal of Refrigeration, 1998, 21(3): 172-179.

WANG Shouguo, TUO Hanfei, CAO Feng, et al. Experimental investigation on air-source transcritical CO2 heat pump water heater system at a fixed water inlet temperature [J]. International Journal of Refrigeration, 2013, 36(3): 701-716.

刘圣春, 马一太, 刘秋菊. CO2热泵热水器实验研究 [J]. 天津大学学报, 2008, 41(2): 238-242.

LIU Shengchun, MA Yitai, LIU Qiuju. Experiments of CO2 heat pump water heater [J]. Journal of Tianjin University, 2008, 41(2): 238-242.

金磊, 何永宁, 杨东方, 等. CO2热泵在低温寒冷地区供暖应用的研究分析 [J]. 流体机械, 2015, 43(9): 67-72, 57.

JIN Lei, HE Yongning, YANG Dongfang, et al. Analysis of CO2 heat pump using in the cold regions [J]. Fluid Machinery, 2015, 43(9): 67-72, 57.

HWANG Y H, CELIK A, RADERMACHER R. Performance of CO2 cycles with a two-stage compressor [C]∥ International Refrigeration and Air Conditioning Conference. West Lafayette, IN, USA: Purdue University Purdue e-Pubs, 2004: R105.

BAEK C, HEO J, JUNG J, et al. Effects of vapor injection techniques on the heating performance of a CO2 heat pump at low ambient temperatures [J]. International Journal of Refrigeration, 2014, 43: 26-35.

WANG Hongli, MA Yitai, TIAN Jingrui, et al. Theoretical analysis and experimental research on transcritical CO2 two stage compression cycle with two gas coolers(TSCC+TG)and the cycle with intercooler(TSCC+IC)[J]. Energy Conversion and Management, 2011, 52(8): 2819-2828.

KAUF F. Determination of the optimum high pressure for transcritical CO2-refrigeration cycles [J]. International Journal of Thermal Sciences, 1999, 38(4): 325-330.

LIAO S M, ZHAO T S, JAKOBSEN A. A correlation of optimal heat rejection pressures in transcritical carbon dioxide cycles [J]. Applied Thermal Engineering, 2000, 20(9): 831-841.

SARKAR J, BHATTACHARYYA S, GOPAL M R. Optimization of a transcritical CO2 heat pump cycle for simultaneous cooling and heating applications [J]. International Journal of Refrigeration, 2004, 27(8): 830-838.

CECCHINATO L, CORRADI M, MINETTO S. A critical approach to the determination of optimal heat rejection pressure in transcritical systems [J]. Applied Thermal Engineering, 2010, 30(13): 1812-1823.

QI Pingcheng, HE Yaling, WANG Xiaolin, et al. Experimental investigation of the optimal heat rejection pressure for a transcritical CO2 heat pump water heater [J]. Applied Thermal Engineering, 2013, 56(1): 120-125.

DONG Liujia, LI Yaoyu, MU Baojie, et al. Self-optimizing control of air-source heat pump with multivariable extremum seeking [J]. Applied Thermal Engineering, 2015, 84: 180-195.

WANG Wengyi, LI Yaoyu. Intermediate pressure optimization for two-stage air-source heat pump with flash tank cycle vapor injection via extremum seeking [J]. Applied Energy, 2019, 238: 612-626.

WANG Wenyi, LI Yaoyu, CAO Feng. Extremum seeking control for efficient operation of an air-source heat pump water heater with internal heat exchanger cycle vapor injection [J]. International Journal of Refrigeration, 2019, 99: 153-165.

HU Bin, LI Yaoyu, CAO Feng, et al. Extremum seeking control of COP optimization for air-source transcritical CO2 heat pump water heater system [J]. Applied Energy, 2015, 147: 361-372.

KRSTIAC'U M, WANG H H. Stability of extremum seeking feedback for general nonlinear dynamic systems [J]. Automatica, 2000, 36(4): 595-601.

KRSTIAC'U M. Performance improvement and limitations in extremum seeking control [J]. Systems Control Letters, 2000, 39(5): 313-326.

王静,孙西峰,方健珉,等.跨临界CO2汽车空调多PID控制动态性能仿真研究.2020,54(8):168-176.[doi:10.7652/xjtuxb202008022]

杨竹强,李天卉,高天泽,等.跨临界碳氢二元混合物的水动力学与传热特性实验研究.2020,54(6):140-147.[doi:10.7652/xjtuxb202006018]

方健珉,王静,孙西峰,等.回热器对电动汽车跨临界CO2制冷系统影响的实验研究.2020,54(6):155-160.[doi:10.7652/xjtuxb202006020]

叶祖樑,王驿凯,潘祖栋,等.空气源跨临界CO2热泵中回热器影响的研究.2019,53(5):1-8.[doi:10.7652/xjtuxb2019 05001]

王驿凯,田艳龙,金磊,等.R410A/R134a双级耦合热泵系统最优中间水温实验研究.2018,52(7):32-37.[doi:10.7652/xjtuxb201807005]

焦玉龙,殷翔,王驿凯,等.多领域统一建模仿真下压缩机测试系统的PI参数整定.2016,50(8):137-142.[doi:10.7652/xjtuxb201608022]

吴毅,胡东帅,王明坤,等.一种新型的跨临界CO2储能系统.2016,50(3):45-49.[doi:10.7652/xjtuxb201603007]

袁希文,文桂林,周兵.考虑侧向稳定性的分布式电驱动汽车制动滑移率控制.2015,49(5):43-48.[doi:10.7652/xjtuxb 201505007]

何永宁,杨东方,曹锋,等.补气技术应用于高温热泵的实验研究.2015,49(6):103-108.[doi:10.7652/xjtuxb201506017]

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Application of the Multi-Variable Extreme Seeking Control to the Efficient Operation of the Sub-Cooler Vapor Injection Transcritical CO2 Heat Pumps

DOI：10.7652/xjtuxb202012016

摘要

Abstract

关键词

Keywords

references

Application of the Multi-Variable Extreme Seeking Control to the Efficient Operation of the Sub-Cooler Vapor Injection Transcritical CO₂ Heat Pumps