Simplifying the Auto Regressive and Moving Average (ARMA) Model Representing the Dynamic Thermal Behaviour of iHouse Based on Theoretical Knowledge

Black box modelling and simulating the dynamic indoor air temperature of a laboratory using autoregressive–moving-average (ARMA) model

“…From (1) until ( 5) we can see that the ARMA model is a type of linear equation. The unknown parameters for the ARMA model developed in this research are located in the matrix in (5). The values of these unknown parameters are estimated by using the least-squares estimation approach (also called "linear regression"), which is widely used for linear model parameters estimation [1].…”

“…This research focuses on constructing the model describing the dynamic indoor air temperature behaviour of the Industrial Instrumentation Laboratory at Malaysia-Japan International Institute of Technology (MJIIT), Universiti Teknologi Malaysia (UTM) Kuala Lumpur. Similar work has been done by the main author in [4,5], but this time it is repeated in a different location so that it will be easier for the main author to expand his work in the future. To save time, cost, and other limited resources by the time this research is done, only the autoregressive-moving-average (ARMA) model, a type of simple linear black box model is used in this research to develop the model with minimal physical knowledge.…”

“…Then, Hussein et al developed a black box model to simulate the dynamic indoor air temperature of one of the rooms in the same iHouse in [4] with minimal thermal-related physical knowledge of the smart house testbed. After that, Hussein et al simplified the model developed in [4] to become a grey box model in [5] based on more thermal-related physical knowledge of the smart house testbed. Nguyen et al used the House Thermal Simulator developed in [3] to propose a simple model predictive controller (MPC) in [6] to control the heating, ventilation, and air conditioning (HVAC) systems in residential houses through simulation and optimised the controller for both energy efficiency and thermal comfort.…”