Green’s Function Approach for Simulating District Heating Networks

Ke Xu, Dengxin Ai, Changlong Sun, Yan Qi, Jiaojiao Wang, Fan Yang and Hechen Ren ()
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Ke Xu: Electric Power Research Institute of State Grid, Tianjin Electric Power Company, Tianjin 300010, China
Dengxin Ai: Electric Power Research Institute of State Grid, Tianjin Electric Power Company, Tianjin 300010, China
Changlong Sun: Center for Joint Quantum Studies, Department of Physics, Tianjin University, Tianjin 300350, China
Yan Qi: Electric Power Research Institute of State Grid, Tianjin Electric Power Company, Tianjin 300010, China
Jiaojiao Wang: Center for Joint Quantum Studies, Department of Physics, Tianjin University, Tianjin 300350, China
Fan Yang: Center for Joint Quantum Studies, Department of Physics, Tianjin University, Tianjin 300350, China
Hechen Ren: Center for Joint Quantum Studies, Department of Physics, Tianjin University, Tianjin 300350, China

Energies, 2025, vol. 18, issue 10, 1-13

Abstract: In this paper, we introduce a mathematical framework for analyzing and optimizing district heating networks by leveraging the Green’s function method. Traditional numerical methods for simulating district heating networks often face computational challenges and lack transparency in revealing cause-and-effect relationships in heat propagation. By treating temperature as a scalar field, we employ Green’s function methods to derive analytical solutions that provide a more transparent and intuitive understanding of how heat propagates through the network in response to various inputs. We demonstrate the application of this framework through two numerical examples involving heating networks. Comparative results show that, under identical hardware conditions, the Green’s function method requires only about one-fifth of the computational time compared to the finite element method for the same case. This approach offers distinct advantages in terms of computational efficiency, accuracy, and interpretability, enabling more effective design, optimization, and control of sustainable district heating systems.

Keywords: Green’s function; heat conduction equation; heating systems; district heating networks (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2025
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