HVAC multivariable system modelling and control

被引:3
|
作者
Touqan, Basim [1 ,3 ]
Abdul-Ameer, Alaa [1 ]
Salameh, Muna [2 ]
机构
[1] British Univ Dubai, Dubai, U Arab Emirates
[2] Ajman Univ, Ajman, U Arab Emirates
[3] British Univ Dubai, Block 10 & 11, 1st & 2nd Floor, Dubai 345015, U Arab Emirates
关键词
HVAC; transfer function matrix; multivariable control; Direct Nyquist Array; loops decoupling; PREDICTIVE CONTROL; BUILDINGS;
D O I
10.1177/09544062221138836
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
Heating, Ventilation and Air Conditioning (HVAC) is a multivariable process where any alteration with one system input affects most or all of the system's outputs simultaneously. Owing to its comprehensiveness, a readily derived multivariable HVAC mathematical model is selected for this work, mainly a hybrid distributed-lumped parameters model. As the transfer function matrix was not established in the selected HVAC model, it was exclusively developed in this study, using the time domain graphical responses of the chosen model. Based on the developed transfer function matrix, a conceptual two-step approach was followed to control HVAC model performance. The first was decoupling the interactions that affect all the system outputs, and the second was designing proper PID controllers for each decoupled loop similar to those used for single input single output (SISO) systems. A direct Nyquist Array (DNA) multivariable control strategy was used for this purpose and successfully decoupled the HVAC system into three separate (SISO) loops. Three PID controllers afterwards were applied for each decoupled loop. The results showed quite decoupled system outputs with a minor coupling percentage so that any change in a system input only affected the corresponding system output. The output responses are also underdamped with almost zero steady-state error confirming the effectiveness of the selected PID parameters. The values of steady-state responses are obtained in (10-15) s compared with (200-600) s of open-loop response time. However, various overshoot percentages in the responses are encountered but are relatively small, with a short settling time, so they don't affect the thermal comfort of the ventilated volume. System stability using the Nyquist criterion has also been examined and found to satisfy the criterion. The multivariable DNA control technique and the SISO closed-loop PID controllers have shown the capability to suppress external disturbances and restore the system to its original functional steady-state values.
引用
收藏
页码:2049 / 2061
页数:13
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