Development of a control-oriented model for borehole dynamics for buildings equipped with ground coupled heat pumps

This paper proposes to apply the celebrated Proper Or-thogonal Decomposition (POD) approach in order to obtain a short-term control model for the temperature dynamics of the borehole system. The main idea be-hind POD-based modeling is the extraction of a set of optimal basis functions containing the main char-acteristics of the system from snapshots of the system dynamics at various time instants. This way, POD al-lows an accurate description of the heat diffusion pro-cess where the POD modes can be used as states of the control model. The obtained control model is used for control of heat extraction and injection.This paper proposes to apply the celebrated Proper Or-thogonal Decomposition (POD) approach in order to obtain a short-term control model for the temperature dynamics of the borehole system. The main idea be-hind POD-based modeling is the extraction of a set of optimal basis functions containing the main char-acteristics of the system from snapshots of the system dynamics at various time instants. This way, POD al-lows an accurate description of the heat diffusion pro-cess where the POD modes can be used as states of the control model. The obtained control model is used for control of heat extraction and injection.This paper proposes to apply the celebrated Proper Or-thogonal Decomposition (POD) approach in order to obtain a short-term control model for the temperature dynamics of the borehole system. The main idea be-hind POD-based modeling is the extraction of a set of optimal basis functions containing the main char-acteristics of the system from snapshots of the system dynamics at various time instants. This way, POD al-lows an accurate description of the heat diffusion pro-cess where the POD modes can be used as states of the control model. The obtained control model is used for control of heat extraction and injection.