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应用改进人工蜂群算法的VCRU冷凝温度PI^(λ)D^(μ)控制的数值研究

Numerical Study on PI^(λ)D^(μ) Control Using Improved Artificial Bee Colony Algorithm for Condensation Temperature in Vapor Compression Refrigeration Unit
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摘要 充分考虑蒸汽压缩式制冷机组(Vapor Compression Refrigerating Unit,VCRU)中的冷凝器被控对象具有结构参数时变、惯性大和时滞等特点,传统PID调节方式会导致其关键性能参数−冷凝温度T_(c)的调节时间长、稳态误差和超调量均较大的问题。对此提出冷凝温度分数阶PID(PI^(λ)D^(μ))控制策略,且设计改进人工蜂群算法(Improved Artificial Bee Colony Algorithm,IABCA)对该冷凝温度分数阶PID控制器(Fractional Order PID Controller for Condensation Temperature,CT-FOPIDC)参数进行优化整定,提升T_(c)的调节质量。首先,根据空调制冷工艺的要求和相关自动控制理论,对该冷凝温度PI^(λ)D^(μ)控制系统中的各个组成环节进行建模。其次,基于基本人工蜂群算法(Basic Artificial Bee Colony Algorithm,BABCA),对学习因子c_(1)和c_(2)进行线性变化,保持其他参数不变,重构IABCA,且将min ITAE(Integrated Time Absolute Error,绝对积分时间误差)作为其目标函数,进而对CT-FOPIDC的5个参数进行整定,得到相应的最佳参数值。最后,使用MATLAB软件,分别对IABCA和该冷凝温度PI^(λ)D^(μ)控制系统进行编程和组态。仿真结果表明该IABCA对CT-FOPIDC参数的优化整定是可行的,同时该冷凝温度PI^(λ)D^(μ)控制系统的调节品质明显优于传统PID控制系统。 Considering the controlled plant of condenser in vapor compression refrigerating unit(VCRU)with characteristics of time-varying structure parameters,large inertia,and time-delay,etc,the conventional PID control mode can lead to the problems of the long regulating time,larger steady state error and overshoot for condensation temperature,one of the key performance parameters associated with condenser.So this paper proposes a fractional order PID control mode for condensation temperature and designs an improved artificial bee colony algorithm(IABCA)to optimally tune the parameters of this fractional order PID controller for condensation temperature(CT-FOPIDC)in order to upgrade the control quality of CT.Firstly,according to the requirements of air conditioning and refrigerating process and related automatic control theory,each component of this fractional order PID control system for CT is modeled,respectively.Secondly,on the basis of basic artificial bee colony algorithm(BABCA),by varying the learning factors c_(1) and c_(2) linearly and keeping the other parameters constant,an IABCA is redesigned and min ITAE(integrated time absolute error)is selected as its objective function.Thus,this IABCA can tune five parameters of CT-FOPIDC and obtain the optimal values of the corresponding parameters.Finally,IABCA and this fractional order PID control system for CT are programmed and configured by MATLAB software,respectively.Numerical simulation results show that the proposed IABCA to optimize the parameters of CT-FOPIDC is feasible and meanwhile the control quality of this fractional order PID control system for CT is obviously better than that of the conventional PID control one for CT.
作者 李东升 李绍勇 阴志杰 Li Dongsheng;Li Shaoyong;Yin Zhijie(School of Civil Engineering Lanzhou University of Technology,Lanzhou,730050)
出处 《制冷与空调(四川)》 2022年第4期523-531,共9页 Refrigeration and Air Conditioning
基金 国家自然科学基金项目(61364004)。
关键词 冷凝温度 分数阶PID(PI^(λ)D^(μ))控制 改进人工蜂群算法 控制器参数整定 数值模拟(仿真) Condensation temperature Fractional order PID control Improved artificial bee colony algorithm(IABCA) Tuning parameters of controller Numerical simulation
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