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Energies 2020, 13, 6576 8 of 24 2.4. Optimization Variables and Study According to the main objective of the study: minimization of the energy consumption for a given DHW demand, the optimization variables selected for the study were the size of the HP and the volume of the tank; as well as, the position of the sensor in the stratified storage tank and the value of MWOFF if applicable, and finally, the parameter alpha for the variable-water-volume case. The levels of the variables, selected to perform the optimization study, are summarized in Table 1. The percentage in the SHP size column indicates the percentage of the size considered in regard to a maximum considered size. The maximum values for the SHP size, the tank volume, the water flowrate MWOFF, and the ALPHA value were considered as 47 kW, 1000 L, 10,000 kg/h, 90%, respectively. The optimization study was performed for each case estimating the performance of the full factorial combination of parameter levels shown in Table 1. Additionally, for the stratified tank case, the study covered each the following system options: • Without limitation in the water heat source. • Stratified with bypass. • Stratified without bypass. • Limitation in the water heat source. • Limitation on the energy recovered from the water heat source. • Limitation in the used amount of water heat source. Table 1. Optimization variables and steps considered. Variable Water Volume Case Stratified Case SHP Size Heating kW 2.4 kW (5 %) 4.7 kW (10%) 9.4 kW (20%) 14.1 kW (30%) 18.8 kW (40%) 23.5 kW (50%) 28.2 kW (60%) 32.9 kW (70%) 37.6 kW (80%) 42.3 kW (90%) 47 kW (100%) Alpha % Liters 10% 80 20% 100 30% 200 40% 300 50% 400 60% 500 70% 600 80% 700 90% 800 - 900 - 1000 SHP size Heating kW 2.4 kW (5%) 4.7 kW (10%) 9.4 kW (20%) 14.1 kW (30%) 18.8 kW (40%) 23.5 kW (50%) 28.2 kW (60%) 32.9 kW (70%) 37.6 kW (80%) 42.3 kW (90%) 47 kW (100%) Mwoff Volume kg/h Liters 50 80 100 100 200 200 300 300 400 400 500 500 1000 600 2000 700 2500 800 5000 900 10000 1000 Control Node - 1st 4th 7th - - - - - - - - Volume In the cases with the water heat source limitation, the limitation was fixed to the values obtained in the variable-water-volume case. From the practical point of view, the cases in which there is no limitation in the availability of the heat source would correspond to a booster HP coupled with and ULTDH network. Whereas the cases with a limitation in the water heat source are more similar to an application such as grey water energy recovery since the use from the low temperature heat source is limited. 3. Results This section has been divided in three parts. It should be remarked that there is no optimum solution but a pareto front of solutions that have a similar final minimum energy consumption. Therefore, the comparison among the different cases has been made for the solution with the minimum SHP size. 3.1. User Demand Profile Sensitivity Analysis In order to be able to provide general conclusions of applicability, an analysis of the obtained results to the demand profile dependence was performed. The objective consisted of concluding whether the profile demand would influence the solution found.PDF Image | Thermal Energy Storage Strategy Booster Heat Pump Low Temp
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