[1]陈恩水.变风量HVAC系统模型定性分析[J].东南大学学报(自然科学版),2002,32(2):284-287.[doi:10.3969/j.issn.1001-0505.2002.02.031]
 Chen Enshui.Qualitative analysis of the model of a variable-air-volume HVAC system[J].Journal of Southeast University (Natural Science Edition),2002,32(2):284-287.[doi:10.3969/j.issn.1001-0505.2002.02.031]
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变风量HVAC系统模型定性分析()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
32
期数:
2002年第2期
页码:
284-287
栏目:
数学、物理学、力学
出版日期:
2002-03-20

文章信息/Info

Title:
Qualitative analysis of the model of a variable-air-volume HVAC system
作者:
陈恩水
东南大学应用数学系, 南京 210096
Author(s):
Chen Enshui
Department of Applied Mathematics, Southeast University, Nanjing 210096, China
关键词:
HVAC系统 稳定性 数学模型 热舒适度
Keywords:
HVAC system stability mathematical model thermal comfort
分类号:
O29;TB11;TB61
DOI:
10.3969/j.issn.1001-0505.2002.02.031
摘要:
利用能量与质量守恒定律,通过建立包括通风、室内围护结构、户外环境条件等诸因素的非线性时延控制数学模型,给出了保证系统有唯一正平衡态及系统全局渐近稳定的充分条件.分析表明,系统的平衡点与各环境参数有关,在平衡状态下,室内气温约为28 ℃.最后借助一个实例,说明本文的结果可以帮助人们根据环境特点,去选择适当的HVAC控制系统.本文提供的方法同样适用于PI,PID控制系统的分析.
Abstract:
Using the law of conservation of mass and energy, a nonlinear time-delay control mathematical model is established by considering that the systems are composed of HVAC system, outdoor environmental temperature and moisture, architectural factors. The equilibrium, stability and boundedness of the model are discussed and a new sufficient condition ensuring the uniqueness and global asymptotic stability of HVAC system is obtained. Results show that the equilibrium point is related to the environmental factors. Under stable condition the indoor temperature is about 28℃. The study provided is helpful to an HVAC system design.

参考文献/References:

[1] Chen Y H,Lee K M.Adaptive robust control scheme applied to single-zone HVACsystem [J]. Ashrae Trans,1996,96(part 2):896-903.
[2] Matsuba T.Stability limit of room air temperature of a variable-air-volume system [J].Ashrae trans,1998,104(part2):257-265.
[3] Bellman R,Cooke K L.Differential-difference equations [M].Loodon:Academic Press,1963.171-185.

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备注/Memo

备注/Memo:
作者简介: 陈恩水(1964—),男,博士,讲师.
更新日期/Last Update: 2002-03-20