Mathematical model of room heating as object of dynamic temperature control

Abstract

Energy saving issue in the process of administrative buildings heating is an important one. Dynamic control of room temperature depending on the schedule of its usage gives great opportunities. Dynamic control should meet the criteria of energy efficiency and ensure air temperature in the rooms at time intervals of their usage at the required level in terms of external impact on the building. Obviously, such control can only be implemented by an automatic system. To synthesize such a system, we need mathematical models of room heating as control objects. Consequently, the problem under consideration is relevant. Experimental data and numerical simulation methods are used to obtain mathematical models. Mathematical models are obtained in the state space and in the form of transfer functions for controlling and disturbing influences based on the equations of the dynamic heat balance of the room. Two types of mathematical model of the room are defined. They make it possible to synthesize the laws of qualitative and quantitative control of the heat supply of the building with a given accuracy and to determine schedules of temperature changes depending on the schedule of its use, optimal in terms of minimum energy consumption.