Abstract
Reducing the energy consumption of the heating, ventilation, and air conditioning (HVAC) systems while ensuring users’ comfort is of both academic and practical significance. However, the-state-of-the-art of the optimization model of the HVAC system is that either the thermal dynamic model is simplified as a linear model, or the optimization model of the HVAC system is single-timescale, which leads to heavy computation burden. To balance the practicality and the overhead of computation, in this paper, a multi-timescale bilinear model of HVAC systems is proposed. To guarantee the consistency of models in different timescales, the fast timescale model is built first with a bilinear form, and then the slow timescale model is induced from the fast one, specifically, with a bilinear-like form. After a simplified replacement made for the bilinear-like part, this problem can be solved by a convexification method. Extensive numerical experiments have been conducted to validate the effectiveness of this model.
Highlights
A Multi-Timescale Bilinear Model forIt has been well known that heating, ventilation, and air conditioning (HVAC) systems, which are widely applied to various buildings, directly affect the user’s comfort and are responsible for a large proportion of the building’s energy consumption
In an HVAC system, the thermal dynamics of a residential house may be modeled at a minute level, while the load profile for the maximum power consumption is usually specified at an hourly level
The current paper extends the results in [15] to a multi-timescale bilinear model, which is more practical to describe the thermal dynamics of HVAC systems
Summary
It has been well known that heating, ventilation, and air conditioning (HVAC) systems, which are widely applied to various buildings, directly affect the user’s comfort and are responsible for a large proportion of the building’s energy consumption. To make a trade-off between the practicality and the overhead of computation, this paper formulates the optimization problem of HVAC system as a multi-timescale bilinear model. The current paper extends the results in [15] to a multi-timescale bilinear model, which is more practical to describe the thermal dynamics of HVAC systems. The contribution of this paper is formulating the multi-timescale bilinear optimization model of HVAC systems to balance the practicality and the overhead of computation. Compared with single-timescale bilinear models, the proposed model can decrease the computational complexity; while compared with multi-timescale linear models (e.g., [15]), the proposed model can describe the thermal dynamic of HVAC systems more practically and get better optimization results in some cases, and the accuracy and the computational cost are acceptable. Proofs of theorems are omitted and can be found in [21]
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