COPmax and Optimal Control of the Heat Pump Heating System Depending on the Warm Water Temperature

The primary objective is to create a control function that ensures the energetic optimization of a heat pump heating system at any point within the On-Off regulation range. The COPmax value, the optimal performance of the circulation pump, and the actual performance of the compressor are determined...

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Main Authors: Arpad Nyers, Jozsef Nyers
Format: Article
Language:English
Published: MDPI AG 2025-07-01
Series:Energies
Subjects:
Online Access:https://www.mdpi.com/1996-1073/18/13/3553
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author Arpad Nyers
Jozsef Nyers
author_facet Arpad Nyers
Jozsef Nyers
author_sort Arpad Nyers
collection DOAJ
description The primary objective is to create a control function that ensures the energetic optimization of a heat pump heating system at any point within the On-Off regulation range. The COPmax value, the optimal performance of the circulation pump, and the actual performance of the compressor are determined based on the water temperature. The objective function is the extended COP equation of the system. The COP equation includes the efficiency of the circulation pump and the compressor. With efficiency considered, the COP is 3.057; without efficiency, it is 3.68. At discrete operating points, steady-state operation is assumed; therefore, the behavior of the components is described using algebraic equations. The equation system was solved in two cycles using numerical iterative Newton linearization and Gaussian elimination methods. First, the mass flow rate was optimized for a water temperature value, then the optimization cycle was repeated at a higher temperature. The temperature increase was 2 °C. Using the values of the optimal performance of the circulation pump and the water temperature, a polynomial control function was developed. Applying the control function, the optimal performance of the circulation pump can be calculated for any operating temperature range.
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spelling doaj-art-63f8feb93f0b4a6e8b8a0f090d8e5a732025-08-20T03:50:21ZengMDPI AGEnergies1996-10732025-07-011813355310.3390/en18133553COPmax and Optimal Control of the Heat Pump Heating System Depending on the Warm Water TemperatureArpad Nyers0Jozsef Nyers1Faculty of Engineering and Information Technology, University of Pécs, Boszorkány utca 2, 7624 Pecs, HungaryDoctoral School of Applied Informatics and Applied Mathematics, Óbuda University, Becsi ut 96, 1034 Budapest, HungaryThe primary objective is to create a control function that ensures the energetic optimization of a heat pump heating system at any point within the On-Off regulation range. The COPmax value, the optimal performance of the circulation pump, and the actual performance of the compressor are determined based on the water temperature. The objective function is the extended COP equation of the system. The COP equation includes the efficiency of the circulation pump and the compressor. With efficiency considered, the COP is 3.057; without efficiency, it is 3.68. At discrete operating points, steady-state operation is assumed; therefore, the behavior of the components is described using algebraic equations. The equation system was solved in two cycles using numerical iterative Newton linearization and Gaussian elimination methods. First, the mass flow rate was optimized for a water temperature value, then the optimization cycle was repeated at a higher temperature. The temperature increase was 2 °C. Using the values of the optimal performance of the circulation pump and the water temperature, a polynomial control function was developed. Applying the control function, the optimal performance of the circulation pump can be calculated for any operating temperature range.https://www.mdpi.com/1996-1073/18/13/3553energy optimizationcontrol functionheat pump heating systemCOPmaxpump optimum performance
spellingShingle Arpad Nyers
Jozsef Nyers
COPmax and Optimal Control of the Heat Pump Heating System Depending on the Warm Water Temperature
Energies
energy optimization
control function
heat pump heating system
COPmax
pump optimum performance
title COPmax and Optimal Control of the Heat Pump Heating System Depending on the Warm Water Temperature
title_full COPmax and Optimal Control of the Heat Pump Heating System Depending on the Warm Water Temperature
title_fullStr COPmax and Optimal Control of the Heat Pump Heating System Depending on the Warm Water Temperature
title_full_unstemmed COPmax and Optimal Control of the Heat Pump Heating System Depending on the Warm Water Temperature
title_short COPmax and Optimal Control of the Heat Pump Heating System Depending on the Warm Water Temperature
title_sort copmax and optimal control of the heat pump heating system depending on the warm water temperature
topic energy optimization
control function
heat pump heating system
COPmax
pump optimum performance
url https://www.mdpi.com/1996-1073/18/13/3553
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