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arXiv · 2507.20974

A lightweight numerical model for predictive control of borehole thermal energy storages

Johannes van Randenborgh·Steffen Daniel·Moritz Schulze Darup
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Abstract

Borehole thermal energy storage (BTES) can reduce the operation of fossil fuel-based heating, ventilation, and air conditioning systems for buildings. With BTES, thermal energy is stored via a borehole heat exchanger in the ground. Model predictive control (MPC) may maximize the use of BTES by achieving a dynamic interaction between the building and BTES. However, modeling BTES for MPC is challenging, and a trade-off between model accuracy and an easy-to-solve optimal control problem (OCP) must be found. This manuscript presents an accurate numerical model yielding an easy-to-solve linear-quadratic OCP.

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Johannes van Randenborgh, Steffen Daniel, Moritz Schulze Darup. 2025-07-28. A lightweight numerical model for predictive control of borehole thermal energy storages. https://arxiv.org/abs/2507.20974

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