Оптимальная стабилизация теплового состояния здания

Abstract

Different approaches to mathematical modelling of the thermal processes of heated buildings were analysed. The simplified thermal, electric and corresponding mathematical models which allow modelling thermal processes of buildings with a sufficient degree of accuracy for practical use are offered. The offered mathematical model contains three criteria of similarity, which allows analysing and forecasting of the thermal processes of families of similar buildings in the relative dimensionless time. On the grounds of the offered mathematical model the control law of thermal capacityis substantiated, that allows maintaining a constant comfortable indoor air temperature regardless of external weather conditions. The initial information for the implementation of the offered control law is the temperatures of indoor and outdoor air. For implementation of the offered control law the required information about average temperatures of the enclosure and building internal filling is formed by dynamic observer of the state. The results of the computer modelling, which prove the efficiency of the offered control algorithm are given.