A Comparative Study of Physics-Informed Machine Learning Methods for
Modeling HVAC Systems
Abstract
Machine learning (ML) methods have been used to model complex dynamical
systems, such as heating, ventilation, and air conditioning (HVAC)
systems, to overcome the difficulty and high cost of modeling these
systems using physical principles. However, ML-based methods often
require large amounts of data, have poor generalization performance, and
lack physical consistency. Physics-informed machine learning (PIML) has
recently been introduced to overcome these drawbacks by incorporating
physical laws into learning. There is, however, an unmet need to
evaluate commonly used PIML methods to demonstrate their benefits and
compare their performance in practical applications. In this comparative
study, we evaluated various PIML methods and physical properties for
modeling HVAC systems using real data. We considered physics-informed
neural network methods and constrained Gaussian process methods, as well
as physical properties that can be easily obtained in practice, such as
smoothness, boundedness, and monotonicity. Our results showed the
substantial benefits of PIML in improving model accuracy and data
efficiency, and allowed us to compare the different PIML methods and
physical properties to provide meaningful conclusions and
recommendations for applying PIML in practice.